अभाज्य गुणनखंडन में घातों की तुलना करते समय सबसे पहले क्या देखना चाहिए?
What should be checked first while comparing powers in prime factorisation?
#prime-factorisation
#powers
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A एक ही अभाज्य आधार की घातें / Powers of the same prime base
B सभी संयुक्त गुणनखंडों का योग / Sum of all composite factors
C संख्या का अंतिम अंक ही / Only the last digit of the number
D गुणनखंडों का क्रम ही / Only the order of factors
Explanation opens after your attempt
Correct Answer
A. एक ही अभाज्य आधार की घातें / Powers of the same prime base
Step 1
Concept
अभाज्य गुणनखंडन में आधार पहले पहचानते हैं। / In prime factorisation, identify the bases first.
Step 2
Why this answer is correct
एक ही आधार की घातों की तुलना की जाती है, जैसे 2 की घात 2 से और 3 की घात 3 से। / Powers of the same base are compared, such as power of 2 with power of 2 and power of 3 with power of 3.
Step 3
Exam Tip
परीक्षा में आधार अलग हों तो घातों को सीधे न मिलाएं। / In exams, do not compare powers directly when bases are different.
Login to save your score, XP, coins and progress. Login
संख्या 1170 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 1170?
#prime-factorisation
#number-1170
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3^2\times5\times13\)
B \(2^2\times3\times5\times13\)
C \(117\times10\)
D \(9\times130\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^2\times5\times13\)
Step 1
Concept
\(1170=117\times10\) लिखें। / Write \(1170=117\times10\).
Step 2
Why this answer is correct
\(117=3^2\times13\) और \(10=2\times5\), इसलिए \(1170=2\times3^2\times5\times13\)। / \(117=3^2\times13\) and \(10=2\times5\), so \(1170=2\times3^2\times5\times13\).
Step 3
Exam Tip
117 और 10 को अंतिम रूप में न रखें। / Do not keep 117 and 10 in the final form.
Login to save your score, XP, coins and progress. Login
संख्या 1215 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 1215?
#prime-factorisation
#number-1215
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3^5\times5\)
B \(3^4\times5^2\)
C \(243\times5\)
D \(81\times15\)
Explanation opens after your attempt
Correct Answer
A. \(3^5\times5\)
Step 1
Concept
\(1215=243\times5\) लिखें। / Write \(1215=243\times5\).
Step 2
Why this answer is correct
\(243=3^5\), इसलिए \(1215=3^5\times5\)। / Since \(243=3^5\), \(1215=3^5\times5\).
Step 3
Exam Tip
243 संयुक्त है, इसलिए अंतिम अभाज्य रूप में 3 की घात लिखें। / 243 is composite, so write it as a power of 3 in final prime form.
Login to save your score, XP, coins and progress. Login
संख्या 1344 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 1344?
#prime-factorisation
#number-1344
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^6\times3\times7\)
B \(2^5\times3\times7\)
C \(64\times21\)
D \(2^6\times21\)
Explanation opens after your attempt
Correct Answer
A. \(2^6\times3\times7\)
Step 1
Concept
\(1344=64\times21\) लिखें। / Write \(1344=64\times21\).
Step 2
Why this answer is correct
\(64=2^6\) और \(21=3\times7\), इसलिए \(1344=2^6\times3\times7\)। / \(64=2^6\) and \(21=3\times7\), so \(1344=2^6\times3\times7\).
Step 3
Exam Tip
21 संयुक्त है, इसलिए उसे 3 और 7 में तोड़ें। / Since 21 is composite, split it into 3 and 7.
Login to save your score, XP, coins and progress. Login
संख्या 1485 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 1485?
#prime-factorisation
#number-1485
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3^3\times5\times11\)
B \(3^2\times5\times11\)
C \(135\times11\)
D \(27\times55\)
Explanation opens after your attempt
Correct Answer
A. \(3^3\times5\times11\)
Step 1
Concept
\(1485=135\times11\) लिखें। / Write \(1485=135\times11\).
Step 2
Why this answer is correct
\(135=3^3\times5\), इसलिए \(1485=3^3\times5\times11\)। / \(135=3^3\times5\), so \(1485=3^3\times5\times11\).
Step 3
Exam Tip
135 को पूरा अभाज्य रूप दें। / Give 135 its complete prime form.
Login to save your score, XP, coins and progress. Login
संख्या 1620 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 1620?
#prime-factorisation
#number-1620
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3^4\times5\)
B \(2\times3^4\times5\)
C \(162\times10\)
D \(4\times405\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^4\times5\)
Step 1
Concept
\(1620=162\times10\) लिखें। / Write \(1620=162\times10\).
Step 2
Why this answer is correct
\(162=2\times3^4\) और \(10=2\times5\), इसलिए \(1620=2^2\times3^4\times5\)। / \(162=2\times3^4\) and \(10=2\times5\), so \(1620=2^2\times3^4\times5\).
Step 3
Exam Tip
2 की कुल घात सही गिनें। / Count the total power of 2 correctly.
Login to save your score, XP, coins and progress. Login
संख्या 1848 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 1848?
#prime-factorisation
#number-1848
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^3\times3\times7\times11\)
B \(2^2\times3\times7\times11\)
C \(8\times231\)
D \(2^3\times21\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3\times7\times11\)
Step 1
Concept
\(1848=8\times231\) लिखें। / Write \(1848=8\times231\).
Step 2
Why this answer is correct
\(8=2^3\) और \(231=3\times7\times11\), इसलिए \(1848=2^3\times3\times7\times11\)। / \(8=2^3\) and \(231=3\times7\times11\), so \(1848=2^3\times3\times7\times11\).
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 1875 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 1875?
#prime-factorisation
#number-1875
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3\times5^4\)
B \(3^2\times5^3\)
C \(75\times25\)
D \(3\times625\)
Explanation opens after your attempt
Correct Answer
A. \(3\times5^4\)
Step 1
Concept
\(1875=3\times625\) लिखें। / Write \(1875=3\times625\).
Step 2
Why this answer is correct
\(625=5^4\), इसलिए \(1875=3\times5^4\)। / Since \(625=5^4\), \(1875=3\times5^4\).
Step 3
Exam Tip
625 को अंतिम रूप में न छोड़कर \(5^4\) लिखें। / Do not leave 625 in the final form; write \(5^4\).
Login to save your score, XP, coins and progress. Login
संख्या 2016 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 2016?
#prime-factorisation
#number-2016
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^5\times3^2\times7\)
B \(2^4\times3^2\times7\)
C \(32\times63\)
D \(2^5\times9\times7\)
Explanation opens after your attempt
Correct Answer
A. \(2^5\times3^2\times7\)
Step 1
Concept
\(2016=32\times63\) लिखें। / Write \(2016=32\times63\).
Step 2
Why this answer is correct
\(32=2^5\) और \(63=3^2\times7\), इसलिए \(2016=2^5\times3^2\times7\)। / \(32=2^5\) and \(63=3^2\times7\), so \(2016=2^5\times3^2\times7\).
Step 3
Exam Tip
63 को अभाज्य घातों में बदलें। / Convert 63 into prime powers.
Login to save your score, XP, coins and progress. Login
संख्या 2205 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 2205?
#prime-factorisation
#number-2205
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3^2\times5\times7^2\)
B \(3\times5\times7^2\)
C \(45\times49\)
D \(9\times245\)
Explanation opens after your attempt
Correct Answer
A. \(3^2\times5\times7^2\)
Step 1
Concept
\(2205=45\times49\) लिखें। / Write \(2205=45\times49\).
Step 2
Why this answer is correct
\(45=3^2\times5\) और \(49=7^2\), इसलिए \(2205=3^2\times5\times7^2\)। / \(45=3^2\times5\) and \(49=7^2\), so \(2205=3^2\times5\times7^2\).
Step 3
Exam Tip
45 और 49 को पूरा अभाज्य रूप दें। / Give complete prime form to 45 and 49.
Login to save your score, XP, coins and progress. Login
संख्या 2268 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 2268?
#prime-factorisation
#number-2268
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3^4\times7\)
B \(2^3\times3^3\times7\)
C \(4\times567\)
D \(2^2\times81\times7\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^4\times7\)
Step 1
Concept
\(2268=4\times567\) लिखें। / Write \(2268=4\times567\).
Step 2
Why this answer is correct
\(4=2^2\) और \(567=3^4\times7\), इसलिए \(2268=2^2\times3^4\times7\)। / \(4=2^2\) and \(567=3^4\times7\), so \(2268=2^2\times3^4\times7\).
Step 3
Exam Tip
567 को पूरा अभाज्य रूप में बदलें। / Convert 567 into complete prime form.
Login to save your score, XP, coins and progress. Login
संख्या 2340 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 2340?
#prime-factorisation
#number-2340
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times3^2\times5\times13\)
B \(2\times3^2\times5\times13\)
C \(234\times10\)
D \(4\times585\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^2\times5\times13\)
Step 1
Concept
\(2340=234\times10\) लिखें। / Write \(2340=234\times10\).
Step 2
Why this answer is correct
\(234=2\times3^2\times13\) और \(10=2\times5\), इसलिए \(2340=2^2\times3^2\times5\times13\)। / \(234=2\times3^2\times13\) and \(10=2\times5\), so \(2340=2^2\times3^2\times5\times13\).
Step 3
Exam Tip
2 की घात 2 बनती है। / The power of 2 becomes 2.
Login to save your score, XP, coins and progress. Login
संख्या 2450 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 2450?
#prime-factorisation
#number-2450
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times5^2\times7^2\)
B \(2^2\times5\times7^2\)
C \(2\times1225\)
D \(50\times49\)
Explanation opens after your attempt
Correct Answer
A. \(2\times5^2\times7^2\)
Step 1
Concept
\(2450=2\times1225\) लिखें। / Write \(2450=2\times1225\).
Step 2
Why this answer is correct
\(1225=5^2\times7^2\), इसलिए \(2450=2\times5^2\times7^2\)। / \(1225=5^2\times7^2\), so \(2450=2\times5^2\times7^2\).
Step 3
Exam Tip
1225 को अभाज्य घातों में बदलें। / Convert 1225 into prime powers.
Login to save your score, XP, coins and progress. Login
संख्या 2640 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 2640?
#prime-factorisation
#number-2640
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times3\times5\times11\)
B \(2^3\times3\times5\times11\)
C \(24\times110\)
D \(16\times165\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3\times5\times11\)
Step 1
Concept
\(2640=16\times165\) लिखें। / Write \(2640=16\times165\).
Step 2
Why this answer is correct
\(16=2^4\) और \(165=3\times5\times11\), इसलिए \(2640=2^4\times3\times5\times11\)। / \(16=2^4\) and \(165=3\times5\times11\), so \(2640=2^4\times3\times5\times11\).
Step 3
Exam Tip
165 को आगे तोड़ें। / Break 165 further.
Login to save your score, XP, coins and progress. Login
संख्या 2835 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 2835?
#prime-factorisation
#number-2835
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3^4\times5\times7\)
B \(3^3\times5\times7\)
C \(81\times35\)
D \(9\times315\)
Explanation opens after your attempt
Correct Answer
A. \(3^4\times5\times7\)
Step 1
Concept
\(2835=81\times35\) लिखें। / Write \(2835=81\times35\).
Step 2
Why this answer is correct
\(81=3^4\) और \(35=5\times7\), इसलिए \(2835=3^4\times5\times7\)। / \(81=3^4\) and \(35=5\times7\), so \(2835=3^4\times5\times7\).
Step 3
Exam Tip
81 को \(3^4\) में बदलें। / Change 81 into \(3^4\).
Login to save your score, XP, coins and progress. Login
संख्या 3120 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 3120?
#prime-factorisation
#number-3120
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times3\times5\times13\)
B \(2^3\times3\times5\times13\)
C \(312\times10\)
D \(16\times195\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3\times5\times13\)
Step 1
Concept
\(3120=16\times195\) लिखें। / Write \(3120=16\times195\).
Step 2
Why this answer is correct
\(16=2^4\) और \(195=3\times5\times13\), इसलिए \(3120=2^4\times3\times5\times13\)। / \(16=2^4\) and \(195=3\times5\times13\), so \(3120=2^4\times3\times5\times13\).
Step 3
Exam Tip
195 को पूरा अभाज्य रूप दें। / Give 195 its complete prime form.
Login to save your score, XP, coins and progress. Login
संख्या 3402 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 3402?
#prime-factorisation
#number-3402
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3^5\times7\)
B \(2\times3^4\times7\)
C \(2\times1701\)
D \(486\times7\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^5\times7\)
Step 1
Concept
\(3402=2\times1701\) लिखें। / Write \(3402=2\times1701\).
Step 2
Why this answer is correct
\(1701=3^5\times7\), इसलिए \(3402=2\times3^5\times7\)। / \(1701=3^5\times7\), so \(3402=2\times3^5\times7\).
Step 3
Exam Tip
1701 को 3 और 7 के अभाज्य रूप में बदलें। / Convert 1701 into prime form using 3 and 7.
Login to save your score, XP, coins and progress. Login
संख्या 3528 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 3528?
#prime-factorisation
#number-3528
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^3\times3^2\times7^2\)
B \(2^2\times3^2\times7^2\)
C \(72\times49\)
D \(8\times441\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3^2\times7^2\)
Step 1
Concept
\(3528=72\times49\) लिखें। / Write \(3528=72\times49\).
Step 2
Why this answer is correct
\(72=2^3\times3^2\) और \(49=7^2\), इसलिए \(3528=2^3\times3^2\times7^2\)। / \(72=2^3\times3^2\) and \(49=7^2\), so \(3528=2^3\times3^2\times7^2\).
Step 3
Exam Tip
72 और 49 को अभाज्य घातों में बदलें। / Convert 72 and 49 into prime powers.
Login to save your score, XP, coins and progress. Login
संख्या 3645 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 3645?
#prime-factorisation
#number-3645
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3^6\times5\)
B \(3^5\times5\)
C \(729\times5\)
D \(81\times45\)
Explanation opens after your attempt
Correct Answer
A. \(3^6\times5\)
Step 1
Concept
\(3645=729\times5\) लिखें। / Write \(3645=729\times5\).
Step 2
Why this answer is correct
\(729=3^6\), इसलिए \(3645=3^6\times5\)। / Since \(729=3^6\), \(3645=3^6\times5\).
Step 3
Exam Tip
729 को अंतिम रूप में नहीं छोड़ना चाहिए। / 729 should not be left in the final form.
Login to save your score, XP, coins and progress. Login
संख्या 3888 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 3888?
#prime-factorisation
#number-3888
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times3^5\)
B \(2^3\times3^5\)
C \(16\times243\)
D \(2^4\times243\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3^5\)
Step 1
Concept
\(3888=16\times243\) लिखें। / Write \(3888=16\times243\).
Step 2
Why this answer is correct
\(16=2^4\) और \(243=3^5\), इसलिए \(3888=2^4\times3^5\)। / \(16=2^4\) and \(243=3^5\), so \(3888=2^4\times3^5\).
Step 3
Exam Tip
243 को 3 की घात में बदलें। / Change 243 into a power of 3.
Login to save your score, XP, coins and progress. Login
संख्या 3969 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 3969?
#prime-factorisation
#number-3969
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3^4\times7^2\)
B \(3^3\times7^2\)
C \(81\times49\)
D \(63\times63\)
Explanation opens after your attempt
Correct Answer
A. \(3^4\times7^2\)
Step 1
Concept
\(3969=81\times49\) लिखें। / Write \(3969=81\times49\).
Step 2
Why this answer is correct
\(81=3^4\) और \(49=7^2\), इसलिए \(3969=3^4\times7^2\)। / \(81=3^4\) and \(49=7^2\), so \(3969=3^4\times7^2\).
Step 3
Exam Tip
दोनों भागों को अभाज्य घातों में लिखें। / Write both parts as prime powers.
Login to save your score, XP, coins and progress. Login
यदि \(2016=2^a\times3^2\times7\), तो (a) का मान क्या है?
If \(2016=2^a\times3^2\times7\), what is the value of (a)?
#exponent-comparison
#number-2016
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 5
B 4
C 6
D 3
Explanation opens after your attempt
Step 1
Concept
\(2016=32\times63\) लिखें। / Write \(2016=32\times63\).
Step 2
Why this answer is correct
\(32=2^5\) और \(63=3^2\times7\), इसलिए \(2016=2^5\times3^2\times7\)। / \(32=2^5\) and \(63=3^2\times7\), so \(2016=2^5\times3^2\times7\).
Step 3
Exam Tip
तुलना करने पर (a=5) है। / Comparing gives (a=5).
Login to save your score, XP, coins and progress. Login
यदि \(2205=3^b\times5\times7^2\), तो (b) का मान क्या है?
If \(2205=3^b\times5\times7^2\), what is the value of (b)?
#exponent-comparison
#number-2205
#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
\(2205=45\times49\) है। / \(2205=45\times49\).
Step 2
Why this answer is correct
\(45=3^2\times5\) और \(49=7^2\), इसलिए \(2205=3^2\times5\times7^2\)। / \(45=3^2\times5\) and \(49=7^2\), so \(2205=3^2\times5\times7^2\).
Step 3
Exam Tip
तुलना करने पर (b=2) है। / Comparing gives (b=2).
Login to save your score, XP, coins and progress. Login
यदि \(2450=2\times5^m\times7^2\), तो (m) का मान क्या है?
If \(2450=2\times5^m\times7^2\), what is the value of (m)?
#exponent-comparison
#number-2450
#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
\(2450=2\times1225\) है। / \(2450=2\times1225\).
Step 2
Why this answer is correct
\(1225=5^2\times7^2\), इसलिए \(2450=2\times5^2\times7^2\)। / \(1225=5^2\times7^2\), so \(2450=2\times5^2\times7^2\).
Step 3
Exam Tip
दिए गए रूप से तुलना करने पर (m=2) होगा। / Comparing with the given form gives (m=2).
Login to save your score, XP, coins and progress. Login
यदि \(3888=2^p\times3^5\), तो (p) का मान क्या है?
If \(3888=2^p\times3^5\), what is the value of (p)?
#exponent-comparison
#number-3888
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 4
B 3
C 5
D 6
Explanation opens after your attempt
Step 1
Concept
\(3888=16\times243\) लिखें। / Write \(3888=16\times243\).
Step 2
Why this answer is correct
\(16=2^4\) और \(243=3^5\), इसलिए 2 की घात 4 है। / \(16=2^4\) and \(243=3^5\), so the power of 2 is 4.
Step 3
Exam Tip
तुलना करने पर (p=4) मिलेगा। / Comparing gives (p=4).
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 1188
D 1584
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
पहले घातों को हल करें, फिर 11 से गुणा करें। / First solve the powers, then multiply by 11.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(3\times5^2\times11\) है?
Which number has prime factorisation \(3\times5^2\times11\)?
#evaluate-factorisation
#number-825
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 825
B 550
C 1650
D 275
Explanation opens after your attempt
Step 1
Concept
\(5^2=25\) निकालें। / Calculate \(5^2=25\).
Step 2
Why this answer is correct
\(3\times25\times11=825\)। / \(3\times25\times11=825\).
Step 3
Exam Tip
घात वाले भाग को पहले सरल करना उपयोगी है। / It is useful to simplify the power part first.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2^5\times3^3\) है?
Which number has prime factorisation \(2^5\times3^3\)?
#evaluate-factorisation
#number-864
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 864
B 432
C 1728
D 1296
Explanation opens after your attempt
Step 1
Concept
\(2^5=32\) और \(3^3=27\) निकालें। / Calculate \(2^5=32\) and \(3^3=27\).
Step 2
Why this answer is correct
\(32\times27=864\)। / \(32\times27=864\).
Step 3
Exam Tip
दोनों घातों को अलग-अलग सरल करें। / Simplify both powers separately.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2^2\times3\times7\times11\) है?
Which number has prime factorisation \(2^2\times3\times7\times11\)?
#evaluate-factorisation
#number-924
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 924
B 462
C 1848
D 1386
Explanation opens after your attempt
Step 1
Concept
\(2^2=4\) निकालें। / Calculate \(2^2=4\).
Step 2
Why this answer is correct
\(4\times3\times7\times11=924\)। / \(4\times3\times7\times11=924\).
Step 3
Exam Tip
कई गुणनखंडों में जोड़े बनाकर गुणा करें। / With many factors, multiply in pairs.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2^4\times3\times5\times13\) है?
Which number has prime factorisation \(2^4\times3\times5\times13\)?
#evaluate-factorisation
#number-3120
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 3120
B 1560
C 6240
D 2340
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\) निकालें। / Calculate \(2^4=16\).
Step 2
Why this answer is correct
\(16\times3\times5\times13=3120\)। / \(16\times3\times5\times13=3120\).
Step 3
Exam Tip
पहले \(3\times5\times13\) को 195 समझकर गुणा करना आसान है। / It is easy to first treat \(3\times5\times13\) as 195 and multiply.
Login to save your score, XP, coins and progress. Login
यदि \(n=2^4\times3\times5\times11\), तो (n) का मान क्या है?
If \(n=2^4\times3\times5\times11\), 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 2640
B 1320
C 5280
D 1980
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\) है। / \(2^4=16\).
Step 2
Why this answer is correct
\(16\times3\times5\times11=2640\)। / \(16\times3\times5\times11=2640\).
Step 3
Exam Tip
अभाज्य रूप से संख्या पाने के लिए सभी गुणनखंडों को गुणा करें। / Multiply all factors to get the number from prime form.
Login to save your score, XP, coins and progress. Login
यदि \(m=3^4\times5\times7\), तो (m) का मान क्या है?
If \(m=3^4\times5\times7\), 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 2835
B 945
C 5670
D 2025
Explanation opens after your attempt
Step 1
Concept
\(3^4=81\) है। / \(3^4=81\).
Step 2
Why this answer is correct
\(81\times5\times7=2835\)। / \(81\times5\times7=2835\).
Step 3
Exam Tip
घात को पहले सरल करने से गणना साफ रहती है। / Simplifying the power first keeps the calculation clear.
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 \(2^2\times3^4\times7\)
B \(4\times81\times7\)
C \(2^2\times567\)
D \(12\times189\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^4\times7\)
Step 1
Concept
अंतिम अभाज्य रूप में आधार अभाज्य होने चाहिए। / In final prime form, bases should be prime.
Step 2
Why this answer is correct
पहले विकल्प में 2, 3 और 7 अभाज्य आधार हैं। / In the first option, 2, 3, and 7 are prime bases.
Step 3
Exam Tip
4, 81, 567, 12 और 189 संयुक्त हैं, इसलिए वे अंतिम रूप नहीं हैं। / 4, 81, 567, 12, and 189 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 \(2^4\times195\)
B \(2^4\times3\times5\times13\)
C \(3^4\times5\times7\)
D \(2\times5^2\times7^2\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times195\)
Step 1
Concept
अंतिम अभाज्य गुणनखंडन में संयुक्त गुणनखंड नहीं होना चाहिए। / Final prime factorisation must not contain a composite factor.
Step 2
Why this answer is correct
195 संयुक्त है और \(195=3\times5\times13\)। / 195 is composite and \(195=3\times5\times13\).
Step 3
Exam Tip
इसलिए \(2^4\times195\) अंतिम रूप नहीं है। / Therefore, \(2^4\times195\) is not final form.
Login to save your score, XP, coins and progress. Login
संख्या 7776 का अभाज्य गुणनखंडन क्या है?
What is the prime factorisation of 7776?
#prime-factorisation
#number-7776
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^5\times3^5\)
B \(2^4\times3^5\)
C \(32\times243\)
D \(6^5\)
Explanation opens after your attempt
Correct Answer
A. \(2^5\times3^5\)
Step 1
Concept
\(7776=32\times243\) लिखें। / Write \(7776=32\times243\).
Step 2
Why this answer is correct
\(32=2^5\) और \(243=3^5\), इसलिए \(7776=2^5\times3^5\)। / \(32=2^5\) and \(243=3^5\), so \(7776=2^5\times3^5\).
Step 3
Exam Tip
32 और 243 संयुक्त हैं, इसलिए अंतिम रूप में अभाज्य आधार लिखें। / 32 and 243 are composite, so write prime bases in the final form.
Login to save your score, XP, coins and progress. Login
संख्या 10000 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 10000?
#prime-factorisation
#number-10000
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times5^4\)
B \(2^5\times5^3\)
C \(10^4\)
D \(100\times100\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times5^4\)
Step 1
Concept
\(10000=10^4\) लिखा जा सकता है। / (10000) can be written as \(10^4\).
Step 2
Why this answer is correct
\(10=2\times5\), इसलिए \(10^4=2^4\times5^4\)। / Since \(10=2\times5\), \(10^4=2^4\times5^4\).
Step 3
Exam Tip
10 संयुक्त है, इसलिए अंतिम रूप में 2 और 5 की घातें लिखें। / 10 is composite, so write powers of 2 and 5 in the final form.
Login to save your score, XP, coins and progress. Login
संख्या 4913 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 4913?
#prime-factorisation
#cube-number
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(17^3\)
B \(17^2\)
C \(289\times17\)
D \(4913\times1\)
Explanation opens after your attempt
Correct Answer
A. \(17^3\)
Step 1
Concept
\(4913=17\times289\) लिखें। / Write \(4913=17\times289\).
Step 2
Why this answer is correct
\(289=17^2\), इसलिए \(4913=17^3\)। / \(289=17^2\), so \(4913=17^3\).
Step 3
Exam Tip
289 संयुक्त है, इसलिए अंतिम रूप में \(17^3\) लिखें। / Since 289 is composite, write \(17^3\) in the final form.
Login to save your score, XP, coins and progress. Login
संख्या 12500 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 12500?
#prime-factorisation
#number-12500
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^2\times5^5\)
B \(2\times5^5\)
C \(125\times100\)
D \(4\times3125\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times5^5\)
Step 1
Concept
\(12500=125\times100\) लिखें। / Write \(12500=125\times100\).
Step 2
Why this answer is correct
\(125=5^3\) और \(100=2^2\times5^2\), इसलिए \(12500=2^2\times5^5\)। / \(125=5^3\) and \(100=2^2\times5^2\), so \(12500=2^2\times5^5\).
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 10206 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 10206?
#prime-factorisation
#number-10206
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3^6\times7\)
B \(2\times3^5\times7\)
C \(2\times5103\)
D \(1458\times7\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^6\times7\)
Step 1
Concept
\(10206=2\times5103\) लिखें। / Write \(10206=2\times5103\).
Step 2
Why this answer is correct
\(5103=3^6\times7\), इसलिए \(10206=2\times3^6\times7\)। / \(5103=3^6\times7\), so \(10206=2\times3^6\times7\).
Step 3
Exam Tip
5103 को अभाज्य घातों में बदलें। / Convert 5103 into prime powers.
Login to save your score, XP, coins and progress. Login
संख्या 13720 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 13720?
#prime-factorisation
#number-13720
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^3\times5\times7^3\)
B \(2^4\times5\times7^2\)
C \(40\times343\)
D \(8\times1715\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times5\times7^3\)
Step 1
Concept
\(13720=40\times343\) लिखें। / Write \(13720=40\times343\).
Step 2
Why this answer is correct
\(40=2^3\times5\) और \(343=7^3\), इसलिए \(13720=2^3\times5\times7^3\)। / \(40=2^3\times5\) and \(343=7^3\), so \(13720=2^3\times5\times7^3\).
Step 3
Exam Tip
40 और 343 को अभाज्य रूप में लिखें। / Write 40 and 343 in prime form.
Login to save your score, XP, coins and progress. Login
यदि \(2^5\times3^2\times7\) से संख्या बनाई जाए, तो वह कौन सी होगी?
If a number is formed from \(2^5\times3^2\times7\), 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 2016
B 1008
C 4032
D 1344
Explanation opens after your attempt
Step 1
Concept
\(2^5=32\) और \(3^2=9\) निकालें। / Calculate \(2^5=32\) and \(3^2=9\).
Step 2
Why this answer is correct
\(32\times9\times7=2016\)। / \(32\times9\times7=2016\).
Step 3
Exam Tip
घातों को पहले हल करने से उत्तर जल्दी मिलता है। / Solving powers first gives the answer quickly.
Login to save your score, XP, coins and progress. Login
यदि किसी संख्या का अभाज्य गुणनखंडन \(3^2\times5\times7^2\) है, तो वह संख्या कौन सी है?
If the prime factorisation of a number is \(3^2\times5\times7^2\), which number is it?
#evaluate-factorisation
#number-2205
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2205
B 735
C 4410
D 1470
Explanation opens after your attempt
Step 1
Concept
\(3^2=9\) और \(7^2=49\) निकालें। / Calculate \(3^2=9\) and \(7^2=49\).
Step 2
Why this answer is correct
\(9\times5\times49=2205\)। / \(9\times5\times49=2205\).
Step 3
Exam Tip
दो घातों को पहले सरल करके गुणा करें। / Simplify the two powers first and multiply.
Login to save your score, XP, coins and progress. Login
यदि किसी संख्या का अभाज्य गुणनखंडन \(2^2\times3^4\times7\) है, तो वह संख्या कौन सी है?
If the prime factorisation of a number is \(2^2\times3^4\times7\), which number is it?
#evaluate-factorisation
#number-2268
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2268
B 1134
C 4536
D 3402
Explanation opens after your attempt
Step 1
Concept
\(2^2=4\) और \(3^4=81\) निकालें। / Calculate \(2^2=4\) and \(3^4=81\).
Step 2
Why this answer is correct
\(4\times81\times7=2268\)। / \(4\times81\times7=2268\).
Step 3
Exam Tip
बड़ी घात को पहले सरल करना सही तरीका है। / Simplifying the higher power first is the right method.
Login to save your score, XP, coins and progress. Login
यदि \(2^4\times3\times5\times11\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^4\times3\times5\times11\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#number-2640
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 2640
B 1320
C 5280
D 3960
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\) निकालें। / Calculate \(2^4=16\).
Step 2
Why this answer is correct
\(16\times3\times5\times11=2640\)। / \(16\times3\times5\times11=2640\).
Step 3
Exam Tip
गुणन को छोटे चरणों में करें ताकि गलती न हो। / Do multiplication in small steps to avoid mistakes.
Login to save your score, XP, coins and progress. Login
संख्या 4752 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 4752?
#prime-factorisation
#number-4752
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^4\times3^3\times11\)
B \(2^3\times3^3\times11\)
C \(16\times297\)
D \(2^4\times27\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3^3\times11\)
Step 1
Concept
\(4752=16\times297\) लिखें। / Write \(4752=16\times297\).
Step 2
Why this answer is correct
\(16=2^4\) और \(297=3^3\times11\), इसलिए \(4752=2^4\times3^3\times11\)। / \(16=2^4\) and \(297=3^3\times11\), so \(4752=2^4\times3^3\times11\).
Step 3
Exam Tip
297 को पूरा अभाज्य रूप दें। / Give 297 its complete prime form.
Login to save your score, XP, coins and progress. Login
संख्या 5850 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 5850?
#prime-factorisation
#number-5850
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2\times3^2\times5^2\times13\)
B \(2^2\times3\times5^2\times13\)
C \(58.5\times100\)
D \(18\times325\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^2\times5^2\times13\)
Step 1
Concept
\(5850=18\times325\) लिखें। / Write \(5850=18\times325\).
Step 2
Why this answer is correct
\(18=2\times3^2\) और \(325=5^2\times13\), इसलिए \(5850=2\times3^2\times5^2\times13\)। / \(18=2\times3^2\) and \(325=5^2\times13\), so \(5850=2\times3^2\times5^2\times13\).
Step 3
Exam Tip
दशमलव रूप से बचें और पूर्ण गुणनखंडों का उपयोग करें। / Avoid decimal forms and use whole factors.
Login to save your score, XP, coins and progress. Login
संख्या 7560 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 7560?
#prime-factorisation
#number-7560
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^3\times3^3\times5\times7\)
B \(2^2\times3^3\times5\times7\)
C \(756\times10\)
D \(8\times945\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3^3\times5\times7\)
Step 1
Concept
\(7560=756\times10\) लिखें। / Write \(7560=756\times10\).
Step 2
Why this answer is correct
\(756=2^2\times3^3\times7\) और \(10=2\times5\), इसलिए \(7560=2^3\times3^3\times5\times7\)। / \(756=2^2\times3^3\times7\) and \(10=2\times5\), so \(7560=2^3\times3^3\times5\times7\).
Step 3
Exam Tip
2 की कुल घात 3 गिनें। / Count the total power of 2 as 3.
Login to save your score, XP, coins and progress. Login
किस संख्या का अभाज्य गुणनखंडन \(2\times3^2\times5^2\times13\) है?
Which number has prime factorisation \(2\times3^2\times5^2\times13\)?
#evaluate-factorisation
#number-5850
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A 5850
B 2925
C 11700
D 3900
Explanation opens after your attempt
Step 1
Concept
\(3^2=9\) और \(5^2=25\) निकालें। / Calculate \(3^2=9\) and \(5^2=25\).
Step 2
Why this answer is correct
\(2\times9\times25\times13=5850\)। / \(2\times9\times25\times13=5850\).
Step 3
Exam Tip
पहले \(9\times25=225\) करें, फिर बाकी गुणा करें। / First do \(9\times25=225\), then multiply the rest.
Login to save your score, XP, coins and progress. Login
संख्या 16384 का अभाज्य गुणनखंडन क्या है?
What is the prime factorisation of 16384?
#prime-factorisation
#power-of-two
#medium
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2^{14}\)
B \(2^{13}\)
C \(128^2\)
D \(16^4\)
Explanation opens after your attempt
Correct Answer
A. \(2^{14}\)
Step 1
Concept
16384 को बार-बार 2 से भाग दें। / Divide 16384 repeatedly by 2.
Step 2
Why this answer is correct
चौदह बार 2 मिलने से \(16384=2^{14}\)। / Fourteen factors of 2 give \(16384=2^{14}\).
Step 3
Exam Tip
128 और 16 संयुक्त हैं, इसलिए अंतिम अभाज्य रूप में 2 की घात लिखें। / 128 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 \(25^2\times7\) को अंतिम रूप क्यों नहीं माना जाता?
Why is \(25^2\times7\) not considered a final form 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 25 संयुक्त संख्या है / Because 25 is composite
B क्योंकि 7 अभाज्य नहीं है / Because 7 is not prime
C क्योंकि घात लिखना गलत है / Because writing powers is wrong
D क्योंकि गुणा का उपयोग नहीं किया जा सकता / Because multiplication cannot be used
Explanation opens after your attempt
Correct Answer
A. क्योंकि 25 संयुक्त संख्या है / Because 25 is composite
Step 1
Concept
अंतिम अभाज्य गुणनखंडन में आधार अभाज्य होना चाहिए। / In final prime factorisation, the base must be prime.
Step 2
Why this answer is correct
25 संयुक्त है और \(25=5^2\) होता है। / 25 is composite and \(25=5^2\).
Step 3
Exam Tip
इसलिए \(25^2\times7\) को \(5^4\times7\) में बदलना होगा। / Therefore, \(25^2\times7\) must be changed into \(5^4\times7\).
Login to save your score, XP, coins and progress. Login
