अभाज्य गुणनखंडन में किसी संयुक्त आधार को अंतिम रूप में रखने से क्या समस्या होती है?
What problem occurs if a composite base is kept in the final prime factorisation?
#prime-factorisation
#concept
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A गुणनखंडन पूरा नहीं माना जाता / The factorisation is not considered complete
B संख्या का मान हमेशा बदल जाता है / The value of the number always changes
C सभी गुणनखंड अभाज्य बन जाते हैं / All factors become prime
D घातों का उपयोग नहीं किया जा सकता / Powers cannot be used
Explanation opens after your attempt
Correct Answer
A. गुणनखंडन पूरा नहीं माना जाता / The factorisation is not considered complete
Step 1
Concept
अंतिम अभाज्य गुणनखंडन में हर आधार अभाज्य होना चाहिए। / In final prime factorisation, every base must be prime.
Step 2
Why this answer is correct
यदि 12 या 21 जैसा संयुक्त आधार बचा है, तो उसे आगे तोड़ना होगा। / If a composite base like 12 or 21 remains, it must be broken further.
Step 3
Exam Tip
परीक्षा में अंतिम रूप देने से पहले हर आधार की जांच करें। / In exams, check every base before writing the final form.
Login to save your score, XP, coins and progress. Login
संख्या 792 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 792?
#prime-factorisation
#number-792
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^3\times3^2\times11\)
B \(2^2\times3^3\times11\)
C \(8\times99\)
D \(2^3\times9\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3^2\times11\)
Step 1
Concept
\(792=8\times99\) लिखें। / Write \(792=8\times99\).
Step 2
Why this answer is correct
\(8=2^3\) और \(99=3^2\times11\), इसलिए \(792=2^3\times3^2\times11\)। / \(8=2^3\) and \(99=3^2\times11\), so \(792=2^3\times3^2\times11\).
Step 3
Exam Tip
99 को अंतिम उत्तर में न छोड़ें। / Do not leave 99 in the final answer.
Login to save your score, XP, coins and progress. Login
संख्या 825 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 825?
#prime-factorisation
#number-825
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3\times5^2\times11\)
B \(3^2\times5\times11\)
C \(25\times33\)
D \(5\times165\)
Explanation opens after your attempt
Correct Answer
A. \(3\times5^2\times11\)
Step 1
Concept
\(825=25\times33\) लिखें। / Write \(825=25\times33\).
Step 2
Why this answer is correct
\(25=5^2\) और \(33=3\times11\), इसलिए \(825=3\times5^2\times11\)। / \(25=5^2\) and \(33=3\times11\), so \(825=3\times5^2\times11\).
Step 3
Exam Tip
25 और 33 दोनों संयुक्त हैं, इसलिए उन्हें अभाज्य रूप में बदलें। / Both 25 and 33 are composite, so convert them into prime form.
Login to save your score, XP, coins and progress. Login
संख्या 864 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 864?
#prime-factorisation
#number-864
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^5\times3^3\)
B \(2^4\times3^3\)
C \(32\times27\)
D \(2^5\times27\)
Explanation opens after your attempt
Correct Answer
A. \(2^5\times3^3\)
Step 1
Concept
\(864=32\times27\) लिखें। / Write \(864=32\times27\).
Step 2
Why this answer is correct
\(32=2^5\) और \(27=3^3\), इसलिए \(864=2^5\times3^3\)। / \(32=2^5\) and \(27=3^3\), so \(864=2^5\times3^3\).
Step 3
Exam Tip
32 और 27 को अभाज्य घातों में बदलना जरूरी है। / It is necessary to convert 32 and 27 into prime powers.
Login to save your score, XP, coins and progress. Login
संख्या 924 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 924?
#prime-factorisation
#number-924
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3\times7\times11\)
B \(2\times3\times7\times22\)
C \(4\times231\)
D \(2^2\times21\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3\times7\times11\)
Step 1
Concept
\(924=4\times231\) लिखें। / Write \(924=4\times231\).
Step 2
Why this answer is correct
\(4=2^2\) और \(231=3\times7\times11\), इसलिए \(924=2^2\times3\times7\times11\)। / \(4=2^2\) and \(231=3\times7\times11\), so \(924=2^2\times3\times7\times11\).
Step 3
Exam Tip
231 को पूरा अभाज्य रूप दें। / Give 231 its complete prime form.
Login to save your score, XP, coins and progress. Login
संख्या 1050 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 1050?
#prime-factorisation
#number-1050
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3\times5^2\times7\)
B \(2^2\times3\times5\times7\)
C \(105\times10\)
D \(2\times15\times35\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3\times5^2\times7\)
Step 1
Concept
\(1050=105\times10\) लिखें। / Write \(1050=105\times10\).
Step 2
Why this answer is correct
\(105=3\times5\times7\) और \(10=2\times5\), इसलिए \(1050=2\times3\times5^2\times7\)। / \(105=3\times5\times7\) and \(10=2\times5\), so \(1050=2\times3\times5^2\times7\).
Step 3
Exam Tip
5 दो बार आता है, इसलिए \(5^2\) लिखें। / Since 5 appears twice, write \(5^2\).
Login to save your score, XP, coins and progress. Login
संख्या 1188 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 1188?
#prime-factorisation
#number-1188
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3^3\times11\)
B \(2^3\times3^2\times11\)
C \(4\times297\)
D \(2^2\times27\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^3\times11\)
Step 1
Concept
\(1188=4\times297\) लिखें। / Write \(1188=4\times297\).
Step 2
Why this answer is correct
\(4=2^2\) और \(297=3^3\times11\), इसलिए \(1188=2^2\times3^3\times11\)। / \(4=2^2\) and \(297=3^3\times11\), so \(1188=2^2\times3^3\times11\).
Step 3
Exam Tip
297 को 3 और 11 के रूप में तोड़ें। / Break 297 into 3 and 11 form.
Login to save your score, XP, coins and progress. Login
संख्या 1260 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 1260?
#prime-factorisation
#number-1260
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3^2\times5\times7\)
B \(2\times3^2\times5\times7\)
C \(126\times10\)
D \(2^2\times9\times35\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^2\times5\times7\)
Step 1
Concept
\(1260=126\times10\) लिखें। / Write \(1260=126\times10\).
Step 2
Why this answer is correct
\(126=2\times3^2\times7\) और \(10=2\times5\), इसलिए \(1260=2^2\times3^2\times5\times7\)। / \(126=2\times3^2\times7\) and \(10=2\times5\), so \(1260=2^2\times3^2\times5\times7\).
Step 3
Exam Tip
2 की कुल घात 2 है। / The total power of 2 is 2.
Login to save your score, XP, coins and progress. Login
संख्या 1350 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 1350?
#prime-factorisation
#number-1350
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3^3\times5^2\)
B \(2\times3^2\times5^2\)
C \(27\times50\)
D \(2\times27\times25\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^3\times5^2\)
Step 1
Concept
\(1350=27\times50\) लिखें। / Write \(1350=27\times50\).
Step 2
Why this answer is correct
\(27=3^3\) और \(50=2\times5^2\), इसलिए \(1350=2\times3^3\times5^2\)। / \(27=3^3\) and \(50=2\times5^2\), so \(1350=2\times3^3\times5^2\).
Step 3
Exam Tip
27 और 50 को अंतिम रूप में न छोड़ें। / Do not leave 27 and 50 in the final form.
Login to save your score, XP, coins and progress. Login
संख्या 1386 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 1386?
#prime-factorisation
#number-1386
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3^2\times7\times11\)
B \(2^2\times3\times7\times11\)
C \(2\times693\)
D \(18\times77\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^2\times7\times11\)
Step 1
Concept
\(1386=18\times77\) लिखें। / Write \(1386=18\times77\).
Step 2
Why this answer is correct
\(18=2\times3^2\) और \(77=7\times11\), इसलिए \(1386=2\times3^2\times7\times11\)। / \(18=2\times3^2\) and \(77=7\times11\), so \(1386=2\times3^2\times7\times11\).
Step 3
Exam Tip
18 और 77 दोनों को अभाज्य रूप दें। / Give prime form to both 18 and 77.
Login to save your score, XP, coins and progress. Login
संख्या 1500 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 1500?
#prime-factorisation
#number-1500
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3\times5^3\)
B \(2^3\times3\times5^2\)
C \(15\times100\)
D \(3\times500\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3\times5^3\)
Step 1
Concept
\(1500=15\times100\) लिखें। / Write \(1500=15\times100\).
Step 2
Why this answer is correct
\(15=3\times5\) और \(100=2^2\times5^2\), इसलिए \(1500=2^2\times3\times5^3\)। / \(15=3\times5\) and \(100=2^2\times5^2\), so \(1500=2^2\times3\times5^3\).
Step 3
Exam Tip
5 की कुल घात 3 गिनें। / Count the total power of 5 as 3.
Login to save your score, XP, coins and progress. Login
संख्या 1584 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 1584?
#prime-factorisation
#number-1584
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times3^2\times11\)
B \(2^3\times3^2\times11\)
C \(16\times99\)
D \(2^4\times9\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3^2\times11\)
Step 1
Concept
\(1584=16\times99\) लिखें। / Write \(1584=16\times99\).
Step 2
Why this answer is correct
\(16=2^4\) और \(99=3^2\times11\), इसलिए \(1584=2^4\times3^2\times11\)। / \(16=2^4\) and \(99=3^2\times11\), so \(1584=2^4\times3^2\times11\).
Step 3
Exam Tip
99 को अंतिम रूप में न छोड़ें। / Do not leave 99 in the final form.
Login to save your score, XP, coins and progress. Login
संख्या 1680 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 1680?
#prime-factorisation
#number-1680
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times3\times5\times7\)
B \(2^3\times3\times5\times7\)
C \(168\times10\)
D \(16\times105\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3\times5\times7\)
Step 1
Concept
\(1680=16\times105\) लिखें। / Write \(1680=16\times105\).
Step 2
Why this answer is correct
\(16=2^4\) और \(105=3\times5\times7\), इसलिए \(1680=2^4\times3\times5\times7\)। / \(16=2^4\) and \(105=3\times5\times7\), so \(1680=2^4\times3\times5\times7\).
Step 3
Exam Tip
105 को अभाज्य गुणनखंडों में बदलें। / Change 105 into prime factors.
Login to save your score, XP, coins and progress. Login
संख्या 1890 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 1890?
#prime-factorisation
#number-1890
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3^3\times5\times7\)
B \(2\times3^2\times5\times7\)
C \(27\times70\)
D \(2\times27\times35\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^3\times5\times7\)
Step 1
Concept
\(1890=27\times70\) लिखें। / Write \(1890=27\times70\).
Step 2
Why this answer is correct
\(27=3^3\) और \(70=2\times5\times7\), इसलिए \(1890=2\times3^3\times5\times7\)। / \(27=3^3\) and \(70=2\times5\times7\), so \(1890=2\times3^3\times5\times7\).
Step 3
Exam Tip
27 को \(3^3\) में बदलें। / Change 27 into \(3^3\).
Login to save your score, XP, coins and progress. Login
संख्या 2100 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 2100?
#prime-factorisation
#number-2100
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3\times5^2\times7\)
B \(2\times3\times5^2\times7\)
C \(21\times100\)
D \(2^2\times3\times25\times7\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3\times5^2\times7\)
Step 1
Concept
\(2100=21\times100\) लिखें। / Write \(2100=21\times100\).
Step 2
Why this answer is correct
\(21=3\times7\) और \(100=2^2\times5^2\), इसलिए \(2100=2^2\times3\times5^2\times7\)। / \(21=3\times7\) and \(100=2^2\times5^2\), so \(2100=2^2\times3\times5^2\times7\).
Step 3
Exam Tip
25 या 100 को अंतिम उत्तर में न रखें। / Do not keep 25 or 100 in the final answer.
Login to save your score, XP, coins and progress. Login
संख्या 2310 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 2310?
#prime-factorisation
#number-2310
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3\times5\times7\times11\)
B \(21\times110\)
C \(2\times3\times5\times77\)
D \(30\times77\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3\times5\times7\times11\)
Step 1
Concept
\(2310=30\times77\) लिखें। / Write \(2310=30\times77\).
Step 2
Why this answer is correct
\(30=2\times3\times5\) और \(77=7\times11\), इसलिए \(2310=2\times3\times5\times7\times11\)। / \(30=2\times3\times5\) and \(77=7\times11\), so \(2310=2\times3\times5\times7\times11\).
Step 3
Exam Tip
30 और 77 दोनों को पूरा तोड़ें। / Break both 30 and 77 completely.
Login to save your score, XP, coins and progress. Login
संख्या 2520 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 2520?
#prime-factorisation
#number-2520
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^3\times3^2\times5\times7\)
B \(2^2\times3^2\times5\times7\)
C \(252\times10\)
D \(8\times315\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3^2\times5\times7\)
Step 1
Concept
\(2520=252\times10\) लिखें। / Write \(2520=252\times10\).
Step 2
Why this answer is correct
\(252=2^2\times3^2\times7\) और \(10=2\times5\), इसलिए \(2520=2^3\times3^2\times5\times7\)। / \(252=2^2\times3^2\times7\) and \(10=2\times5\), so \(2520=2^3\times3^2\times5\times7\).
Step 3
Exam Tip
2 की कुल घात को सही गिनें। / Count the total power of 2 correctly.
Login to save your score, XP, coins and progress. Login
संख्या 2772 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 2772?
#prime-factorisation
#number-2772
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3^2\times7\times11\)
B \(2\times3^2\times7\times11\)
C \(36\times77\)
D \(4\times693\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^2\times7\times11\)
Step 1
Concept
\(2772=36\times77\) लिखें। / Write \(2772=36\times77\).
Step 2
Why this answer is correct
\(36=2^2\times3^2\) और \(77=7\times11\), इसलिए \(2772=2^2\times3^2\times7\times11\)। / \(36=2^2\times3^2\) and \(77=7\times11\), so \(2772=2^2\times3^2\times7\times11\).
Step 3
Exam Tip
36 और 77 को अभाज्य रूप में लिखें। / Write 36 and 77 in prime form.
Login to save your score, XP, coins and progress. Login
संख्या 3024 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 3024?
#prime-factorisation
#number-3024
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times3^3\times7\)
B \(2^3\times3^3\times7\)
C \(16\times189\)
D \(2^4\times27\times7\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3^3\times7\)
Step 1
Concept
\(3024=16\times189\) लिखें। / Write \(3024=16\times189\).
Step 2
Why this answer is correct
\(16=2^4\) और \(189=3^3\times7\), इसलिए \(3024=2^4\times3^3\times7\)। / \(16=2^4\) and \(189=3^3\times7\), so \(3024=2^4\times3^3\times7\).
Step 3
Exam Tip
189 को पूरा अभाज्य रूप दें। / Give 189 its complete prime form.
Login to save your score, XP, coins and progress. Login
संख्या 3150 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 3150?
#prime-factorisation
#number-3150
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3^2\times5^2\times7\)
B \(2^2\times3^2\times5\times7\)
C \(315\times10\)
D \(2\times9\times25\times7\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^2\times5^2\times7\)
Step 1
Concept
\(3150=315\times10\) लिखें। / Write \(3150=315\times10\).
Step 2
Why this answer is correct
\(315=3^2\times5\times7\) और \(10=2\times5\), इसलिए \(3150=2\times3^2\times5^2\times7\)। / \(315=3^2\times5\times7\) and \(10=2\times5\), so \(3150=2\times3^2\times5^2\times7\).
Step 3
Exam Tip
5 की घात 2 बनती है। / The power of 5 becomes 2.
Login to save your score, XP, coins and progress. Login
संख्या 3360 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 3360?
#prime-factorisation
#number-3360
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^5\times3\times5\times7\)
B \(2^4\times3\times5\times7\)
C \(32\times105\)
D \(2^5\times15\times7\)
Explanation opens after your attempt
Correct Answer
A. \(2^5\times3\times5\times7\)
Step 1
Concept
\(3360=32\times105\) लिखें। / Write \(3360=32\times105\).
Step 2
Why this answer is correct
\(32=2^5\) और \(105=3\times5\times7\), इसलिए \(3360=2^5\times3\times5\times7\)। / \(32=2^5\) and \(105=3\times5\times7\), so \(3360=2^5\times3\times5\times7\).
Step 3
Exam Tip
105 को अंतिम रूप में न रखें। / Do not keep 105 in the final form.
Login to save your score, XP, coins and progress. Login
यदि \(1260=2^a\times3^2\times5\times7\), तो (a) का मान क्या है?
If \(1260=2^a\times3^2\times5\times7\), what is the value of (a)?
#exponent-comparison
#prime-factorisation
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2
B 1
C 3
D 4
Explanation opens after your attempt
Step 1
Concept
\(1260=126\times10\) लिखें। / Write \(1260=126\times10\).
Step 2
Why this answer is correct
\(126=2\times3^2\times7\) और \(10=2\times5\), इसलिए 2 की कुल घात 2 है। / \(126=2\times3^2\times7\) and \(10=2\times5\), so the total power of 2 is 2.
Step 3
Exam Tip
इसलिए (a=2) होगा। / Therefore, (a=2).
Login to save your score, XP, coins and progress. Login
यदि \(1350=2\times3^b\times5^2\), तो (b) का मान क्या है?
If \(1350=2\times3^b\times5^2\), what is the value of (b)?
#exponent-comparison
#number-1350
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 3
B 2
C 4
D 1
Explanation opens after your attempt
Step 1
Concept
\(1350=27\times50\) है। / \(1350=27\times50\).
Step 2
Why this answer is correct
\(27=3^3\) और \(50=2\times5^2\), इसलिए \(1350=2\times3^3\times5^2\)। / \(27=3^3\) and \(50=2\times5^2\), so \(1350=2\times3^3\times5^2\).
Step 3
Exam Tip
तुलना करने पर (b=3) है। / Comparing gives (b=3).
Login to save your score, XP, coins and progress. Login
यदि \(1500=2^p\times3\times5^3\), तो (p) का मान क्या है?
If \(1500=2^p\times3\times5^3\), what is the value of (p)?
#exponent-comparison
#number-1500
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2
B 1
C 3
D 4
Explanation opens after your attempt
Step 1
Concept
\(1500=15\times100\) लिखें। / Write \(1500=15\times100\).
Step 2
Why this answer is correct
\(15=3\times5\) और \(100=2^2\times5^2\), इसलिए 2 की घात 2 है। / \(15=3\times5\) and \(100=2^2\times5^2\), so the power of 2 is 2.
Step 3
Exam Tip
तुलना करने पर (p=2) होगा। / Comparing gives (p=2).
Login to save your score, XP, coins and progress. Login
यदि \(2100=2^2\times3\times5^q\times7\), तो (q) का मान क्या है?
If \(2100=2^2\times3\times5^q\times7\), what is the value of (q)?
#exponent-comparison
#number-2100
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2
B 1
C 3
D 4
Explanation opens after your attempt
Step 1
Concept
\(2100=21\times100\) है। / \(2100=21\times100\).
Step 2
Why this answer is correct
\(21=3\times7\) और \(100=2^2\times5^2\), इसलिए 5 की घात 2 है। / \(21=3\times7\) and \(100=2^2\times5^2\), so the power of 5 is 2.
Step 3
Exam Tip
इसलिए (q=2) होगा। / Therefore, (q=2).
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2^3\times3^2\times11\) है?
Which number has prime factorisation \(2^3\times3^2\times11\)?
#evaluate-factorisation
#number-792
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 792
B 396
C 1584
D 1188
Explanation opens after your attempt
Step 1
Concept
\(2^3=8\) और \(3^2=9\) निकालें। / Calculate \(2^3=8\) and \(3^2=9\).
Step 2
Why this answer is correct
\(8\times9\times11=792\)। / \(8\times9\times11=792\).
Step 3
Exam Tip
अभाज्य घातों को पहले हल करें, फिर गुणा करें। / Solve prime powers first, then multiply.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2^4\times3\times5\times7\) है?
Which number has prime factorisation \(2^4\times3\times5\times7\)?
#evaluate-factorisation
#number-1680
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 1680
B 840
C 3360
D 1260
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\) निकालें। / Calculate \(2^4=16\).
Step 2
Why this answer is correct
\(16\times3\times5\times7=1680\)। / \(16\times3\times5\times7=1680\).
Step 3
Exam Tip
चार गुणनखंड हों तो क्रम से छोटे गुणन करें। / When there are four factors, multiply smaller products in order.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2\times3^3\times5\times7\) है?
Which number has prime factorisation \(2\times3^3\times5\times7\)?
#evaluate-factorisation
#number-1890
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 1890
B 945
C 3780
D 1350
Explanation opens after your attempt
Step 1
Concept
\(3^3=27\) निकालें। / Calculate \(3^3=27\).
Step 2
Why this answer is correct
\(2\times27\times5\times7=1890\)। / \(2\times27\times5\times7=1890\).
Step 3
Exam Tip
घात का मान पहले निकालना गणना को सरल बनाता है। / Finding the value of the power first makes calculation simple.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2^2\times3^2\times7\times11\) है?
Which number has prime factorisation \(2^2\times3^2\times7\times11\)?
#evaluate-factorisation
#number-2772
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2772
B 1386
C 5544
D 1980
Explanation opens after your attempt
Step 1
Concept
\(2^2=4\) और \(3^2=9\) निकालें। / Calculate \(2^2=4\) and \(3^2=9\).
Step 2
Why this answer is correct
\(4\times9\times7\times11=2772\)। / \(4\times9\times7\times11=2772\).
Step 3
Exam Tip
पहले 4 और 9 को गुणा करें, फिर बाकी गुणनखंड जोड़ें। / First multiply 4 and 9, then include the remaining factors.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2^4\times3^3\times7\) है?
Which number has prime factorisation \(2^4\times3^3\times7\)?
#evaluate-factorisation
#number-3024
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 3024
B 1512
C 6048
D 2016
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\) और \(3^3=27\) निकालें। / Calculate \(2^4=16\) and \(3^3=27\).
Step 2
Why this answer is correct
\(16\times27\times7=3024\)। / \(16\times27\times7=3024\).
Step 3
Exam Tip
बड़ी घातों को अलग से सरल करके गुणा करें। / Simplify higher powers separately and multiply.
Login to save your score, XP, coins and progress. Login
यदि \(n=2^2\times3\times5^2\times7\), तो (n) का मान क्या है?
If \(n=2^2\times3\times5^2\times7\), what is the value of (n)?
#evaluate-factorisation
#powers
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2100
B 1050
C 4200
D 700
Explanation opens after your attempt
Step 1
Concept
\(2^2=4\) और \(5^2=25\) हैं। / \(2^2=4\) and \(5^2=25\).
Step 2
Why this answer is correct
\(4\times3\times25\times7=2100\)। / \(4\times3\times25\times7=2100\).
Step 3
Exam Tip
दो घातों को पहले हल करने से गुणा आसान होता है। / Solving the powers first makes multiplication easier.
Login to save your score, XP, coins and progress. Login
यदि \(m=2^3\times3^2\times5\times7\), तो (m) का मान क्या है?
If \(m=2^3\times3^2\times5\times7\), what is the value of (m)?
#evaluate-factorisation
#powers
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2520
B 1260
C 5040
D 1680
Explanation opens after your attempt
Step 1
Concept
\(2^3=8\) और \(3^2=9\) निकालें। / Calculate \(2^3=8\) and \(3^2=9\).
Step 2
Why this answer is correct
\(8\times9\times5\times7=2520\)। / \(8\times9\times5\times7=2520\).
Step 3
Exam Tip
पहले घातों को हल करें, फिर बाकी गुणनखंडों से गुणा करें। / First solve powers, then multiply by the remaining factors.
Login to save your score, XP, coins and progress. Login
किस विकल्प में केवल अभाज्य गुणनखंडों का अंतिम रूप दिया गया है?
Which option gives the final form using only prime factors?
#prime-factors
#concept-check
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times3^2\times11\)
B \(16\times9\times11\)
C \(2^4\times99\)
D \(8\times18\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3^2\times11\)
Step 1
Concept
अंतिम रूप में आधार केवल अभाज्य होने चाहिए। / In the final form, bases should be prime only.
Step 2
Why this answer is correct
पहले विकल्प में आधार 2, 3 और 11 अभाज्य हैं। / In the first option, bases 2, 3, and 11 are prime.
Step 3
Exam Tip
16, 9, 99 और 18 संयुक्त हैं, इसलिए वे अंतिम रूप नहीं हैं। / 16, 9, 99, and 18 are composite, so they are not final forms.
Login to save your score, XP, coins and progress. Login
किस विकल्प में अंतिम अभाज्य गुणनखंडन नहीं दिया गया है?
Which option is not a final prime factorisation?
#prime-factorisation
#not-final-form
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times25\times7\)
B \(2^2\times5^2\times7\)
C \(2\times3^2\times5\times7\)
D \(2^3\times3\times7\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times25\times7\)
Step 1
Concept
अंतिम अभाज्य गुणनखंडन में 25 जैसा संयुक्त गुणनखंड नहीं होना चाहिए। / A final prime factorisation should not contain a composite factor like 25.
Step 2
Why this answer is correct
\(25=5^2\), इसलिए \(2^2\times25\times7\) अंतिम रूप नहीं है। / Since \(25=5^2\), \(2^2\times25\times7\) is not final form.
Step 3
Exam Tip
25 को \(5^2\) में बदलें। / Change 25 into \(5^2\).
Login to save your score, XP, coins and progress. Login
संख्या 4096 का अभाज्य गुणनखंडन क्या है?
What is the prime factorisation of 4096?
#prime-factorisation
#power-of-two
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^{12}\)
B \(2^{11}\)
C \(64^2\)
D \(16^3\)
Explanation opens after your attempt
Correct Answer
A. \(2^{12}\)
Step 1
Concept
4096 को बार-बार 2 से भाग दें। / Divide 4096 repeatedly by 2.
Step 2
Why this answer is correct
बारह बार 2 मिलने से \(4096=2^{12}\) होता है। / Twelve factors of 2 give \(4096=2^{12}\).
Step 3
Exam Tip
64 और 16 संयुक्त हैं, इसलिए अंतिम अभाज्य रूप में \(2^{12}\) लिखें। / 64 and 16 are composite, so write \(2^{12}\) as the final prime form.
Login to save your score, XP, coins and progress. Login
संख्या 6561 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 6561?
#prime-factorisation
#power-of-three
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3^8\)
B \(3^7\)
C \(81^2\)
D \(27^3\)
Explanation opens after your attempt
Correct Answer
A. \(3^8\)
Step 1
Concept
6561 को 3 से बार-बार भाग दें। / Divide 6561 repeatedly by 3.
Step 2
Why this answer is correct
आठ बार 3 मिलने से \(6561=3^8\)। / Eight factors of 3 give \(6561=3^8\).
Step 3
Exam Tip
81 और 27 संयुक्त हैं, इसलिए अंतिम रूप में 3 की घात लिखें। / 81 and 27 are composite, so write a power of 3 in the final form.
Login to save your score, XP, coins and progress. Login
संख्या 2197 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 2197?
#prime-factorisation
#cube-number
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(13^3\)
B \(13^2\)
C \(169\times13\)
D \(2197\times1\)
Explanation opens after your attempt
Correct Answer
A. \(13^3\)
Step 1
Concept
\(2197=13\times169\) लिखें। / Write \(2197=13\times169\).
Step 2
Why this answer is correct
\(169=13^2\), इसलिए \(2197=13^3\)। / \(169=13^2\), so \(2197=13^3\).
Step 3
Exam Tip
169 संयुक्त है, इसलिए अंतिम रूप में \(13^3\) लिखें। / Since 169 is composite, write \(13^3\) in the final form.
Login to save your score, XP, coins and progress. Login
संख्या 6250 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 6250?
#prime-factorisation
#power-of-five
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times5^5\)
B \(2^2\times5^4\)
C \(625\times10\)
D \(2\times25^3\)
Explanation opens after your attempt
Correct Answer
A. \(2\times5^5\)
Step 1
Concept
\(6250=625\times10\) लिखें। / Write \(6250=625\times10\).
Step 2
Why this answer is correct
\(625=5^4\) और \(10=2\times5\), इसलिए \(6250=2\times5^5\)। / \(625=5^4\) and \(10=2\times5\), so \(6250=2\times5^5\).
Step 3
Exam Tip
5 की कुल घात 5 गिनें। / Count the total power of 5 as 5.
Login to save your score, XP, coins and progress. Login
संख्या 5103 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 5103?
#prime-factorisation
#number-5103
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3^6\times7\)
B \(3^5\times7^2\)
C \(729\times7\)
D \(27\times189\)
Explanation opens after your attempt
Correct Answer
A. \(3^6\times7\)
Step 1
Concept
\(5103=729\times7\) लिखें। / Write \(5103=729\times7\).
Step 2
Why this answer is correct
\(729=3^6\), इसलिए \(5103=3^6\times7\)। / \(729=3^6\), so \(5103=3^6\times7\).
Step 3
Exam Tip
729 को अंतिम रूप में न छोड़कर 3 की घात लिखें। / Do not leave 729 in the final form; write it as a power of 3.
Login to save your score, XP, coins and progress. Login
संख्या 5488 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 5488?
#prime-factorisation
#number-5488
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times7^3\)
B \(2^3\times7^3\)
C \(16\times343\)
D \(8\times686\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times7^3\)
Step 1
Concept
\(5488=16\times343\) लिखें। / Write \(5488=16\times343\).
Step 2
Why this answer is correct
\(16=2^4\) और \(343=7^3\), इसलिए \(5488=2^4\times7^3\)। / \(16=2^4\) and \(343=7^3\), so \(5488=2^4\times7^3\).
Step 3
Exam Tip
16 और 343 को अभाज्य घातों में बदलें। / Convert 16 and 343 into prime powers.
Login to save your score, XP, coins and progress. Login
यदि \(2^4\times3^2\times11\) से संख्या बनाई जाए, तो वह कौन सी होगी?
If a number is formed from \(2^4\times3^2\times11\), which number will it be?
#evaluate-factorisation
#mcq-pattern
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 1584
B 792
C 3168
D 1188
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\) और \(3^2=9\) निकालें। / Calculate \(2^4=16\) and \(3^2=9\).
Step 2
Why this answer is correct
\(16\times9\times11=1584\)। / \(16\times9\times11=1584\).
Step 3
Exam Tip
घातों को पहले हल करके गुणा करें। / Solve powers first and then multiply.
Login to save your score, XP, coins and progress. Login
यदि किसी संख्या का अभाज्य गुणनखंडन \(2^2\times3^3\times11\) है, तो वह संख्या कौन सी है?
If the prime factorisation of a number is \(2^2\times3^3\times11\), which number is it?
#evaluate-factorisation
#number-1188
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 1188
B 594
C 2376
D 1320
Explanation opens after your attempt
Step 1
Concept
\(2^2=4\) और \(3^3=27\) निकालें। / Calculate \(2^2=4\) and \(3^3=27\).
Step 2
Why this answer is correct
\(4\times27\times11=1188\)। / \(4\times27\times11=1188\).
Step 3
Exam Tip
पहले घातों का मान निकालना ठीक तरीका है। / Finding the value of powers first is the right method.
Login to save your score, XP, coins and progress. Login
यदि किसी संख्या का अभाज्य गुणनखंडन \(2\times3^3\times5^2\) है, तो वह संख्या कौन सी है?
If the prime factorisation of a number is \(2\times3^3\times5^2\), which number is it?
#evaluate-factorisation
#number-1350
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 1350
B 675
C 2700
D 1500
Explanation opens after your attempt
Step 1
Concept
\(3^3=27\) और \(5^2=25\) निकालें। / Calculate \(3^3=27\) and \(5^2=25\).
Step 2
Why this answer is correct
\(2\times27\times25=1350\)। / \(2\times27\times25=1350\).
Step 3
Exam Tip
दो घातों को पहले सरल करने से गुणा आसान होता है। / Simplifying the two powers first makes multiplication easy.
Login to save your score, XP, coins and progress. Login
यदि \(2^2\times3^2\times7\times11\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^2\times3^2\times7\times11\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#number-2772
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2772
B 1386
C 5544
D 1980
Explanation opens after your attempt
Step 1
Concept
\(2^2=4\) और \(3^2=9\) निकालें। / Calculate \(2^2=4\) and \(3^2=9\).
Step 2
Why this answer is correct
\(4\times9\times7\times11=2772\)। / \(4\times9\times7\times11=2772\).
Step 3
Exam Tip
गुणा करते समय चरणों में आगे बढ़ें। / Move step by step while multiplying.
Login to save your score, XP, coins and progress. Login
संख्या 4200 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 4200?
#prime-factorisation
#number-4200
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^3\times3\times5^2\times7\)
B \(2^2\times3\times5^2\times7\)
C \(42\times100\)
D \(4\times1050\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3\times5^2\times7\)
Step 1
Concept
\(4200=42\times100\) लिखें। / Write \(4200=42\times100\).
Step 2
Why this answer is correct
\(42=2\times3\times7\) और \(100=2^2\times5^2\), इसलिए \(4200=2^3\times3\times5^2\times7\)। / \(42=2\times3\times7\) and \(100=2^2\times5^2\), so \(4200=2^3\times3\times5^2\times7\).
Step 3
Exam Tip
2 और 5 की घातें ध्यान से गिनें। / Count the powers of 2 and 5 carefully.
Login to save your score, XP, coins and progress. Login
संख्या 4620 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 4620?
#prime-factorisation
#number-4620
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3\times5\times7\times11\)
B \(2\times3\times5\times7\times11\)
C \(42\times110\)
D \(4\times1155\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3\times5\times7\times11\)
Step 1
Concept
\(4620=42\times110\) लिखें। / Write \(4620=42\times110\).
Step 2
Why this answer is correct
\(42=2\times3\times7\) और \(110=2\times5\times11\), इसलिए \(4620=2^2\times3\times5\times7\times11\)। / \(42=2\times3\times7\) and \(110=2\times5\times11\), so \(4620=2^2\times3\times5\times7\times11\).
Step 3
Exam Tip
2 दो बार आता है, इसलिए \(2^2\) लिखें। / Since 2 appears twice, write \(2^2\).
Login to save your score, XP, coins and progress. Login
संख्या 5400 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 5400?
#prime-factorisation
#number-5400
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^3\times3^3\times5^2\)
B \(2^2\times3^3\times5^2\)
C \(54\times100\)
D \(2^3\times27\times25\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3^3\times5^2\)
Step 1
Concept
\(5400=54\times100\) लिखें। / Write \(5400=54\times100\).
Step 2
Why this answer is correct
\(54=2\times3^3\) और \(100=2^2\times5^2\), इसलिए \(5400=2^3\times3^3\times5^2\)। / \(54=2\times3^3\) and \(100=2^2\times5^2\), so \(5400=2^3\times3^3\times5^2\).
Step 3
Exam Tip
54 और 100 दोनों को पूरा तोड़ें। / Break both 54 and 100 completely.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2^2\times3\times5\times7\times11\) है?
Which number has prime factorisation \(2^2\times3\times5\times7\times11\)?
#evaluate-factorisation
#number-4620
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 4620
B 2310
C 9240
D 3850
Explanation opens after your attempt
Step 1
Concept
\(2^2=4\) निकालें। / Calculate \(2^2=4\).
Step 2
Why this answer is correct
\(4\times3\times5\times7\times11=4620\)। / \(4\times3\times5\times7\times11=4620\).
Step 3
Exam Tip
कई गुणनखंड हों तो जोड़े बनाकर गुणा करें। / When there are many factors, multiply in pairs.
Login to save your score, XP, coins and progress. Login
संख्या 8192 का अभाज्य गुणनखंडन क्या है?
What is the prime factorisation of 8192?
#prime-factorisation
#power-of-two
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^{13}\)
B \(2^{12}\)
C \(64^2\times2\)
D \(16^3\times2\)
Explanation opens after your attempt
Correct Answer
A. \(2^{13}\)
Step 1
Concept
8192 को बार-बार 2 से भाग दें। / Divide 8192 repeatedly by 2.
Step 2
Why this answer is correct
तेरह बार 2 मिलने से \(8192=2^{13}\)। / Thirteen factors of 2 give \(8192=2^{13}\).
Step 3
Exam Tip
64 और 16 संयुक्त हैं, इसलिए अंतिम अभाज्य रूप में 2 की घात लिखें। / 64 and 16 are composite, so write the power of 2 in final prime form.
Login to save your score, XP, coins and progress. Login
अभाज्य गुणनखंडन में \(18\times100\) को अंतिम उत्तर क्यों नहीं माना जाता?
Why is \(18\times100\) not considered a final answer in prime factorisation?
#prime-factorisation
#concept-check
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A क्योंकि 18 और 100 संयुक्त संख्याएं हैं / Because 18 and 100 are composite numbers
B क्योंकि गुणा करना हमेशा गलत है / Because multiplication is always wrong
C क्योंकि 18 अभाज्य और 100 अभाज्य हैं / Because 18 and 100 are prime
D क्योंकि घातों का उपयोग नहीं किया जा सकता / Because powers cannot be used
Explanation opens after your attempt
Correct Answer
A. क्योंकि 18 और 100 संयुक्त संख्याएं हैं / Because 18 and 100 are composite numbers
Step 1
Concept
अभाज्य गुणनखंडन में हर अंतिम गुणनखंड अभाज्य होना चाहिए। / In prime factorisation, every final factor must be prime.
Step 2
Why this answer is correct
\(18=2\times3^2\) और \(100=2^2\times5^2\), इसलिए दोनों संयुक्त हैं। / \(18=2\times3^2\) and \(100=2^2\times5^2\), so both are composite.
Step 3
Exam Tip
\(18\times100\) को आगे \(2^3\times3^2\times5^2\) में बदलना होगा। / \(18\times100\) must be changed further into \(2^3\times3^2\times5^2\).
Login to save your score, XP, coins and progress. Login
