किस संख्या का अभाज्य गुणनखंडन \(3^2\times5\times7\times11\) है?
Which number has prime factorisation \(3^2\times5\times7\times11\)?
#evaluate-factorisation
#number-3465
#hard
A 3465
B 1732
C 6930
D 1155
Explanation opens after your attempt
Step 1
Concept
\(3^2=9\) निकालें। / Calculate \(3^2=9\).
Step 2
Why this answer is correct
\(9\times5\times7\times11=3465\)। / \(9\times5\times7\times11=3465\).
Step 3
Exam Tip
कई गुणनखंड हों तो जोड़े बनाकर गुणा करें। / When there are many factors, multiply in pairs.
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किस संख्या का अभाज्य गुणनखंडन \(2^3\times3^3\times11\) है?
Which number has prime factorisation \(2^3\times3^3\times11\)?
#evaluate-factorisation
#number-2376
#hard
A 2376
B 1188
C 4752
D 3564
Explanation opens after your attempt
Step 1
Concept
\(2^3=8\) और \(3^3=27\) निकालें। / Calculate \(2^3=8\) and \(3^3=27\).
Step 2
Why this answer is correct
\(8\times27\times11=2376\)। / \(8\times27\times11=2376\).
Step 3
Exam Tip
घातों का मान पहले निकालना सही तरीका है। / Finding powers first is the correct method.
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यदि \(27720=2^3\times3^2\times5\times7\times11\), तो इसमें अलग-अलग अभाज्य गुणनखंड कितने हैं?
If \(27720=2^3\times3^2\times5\times7\times11\), how many distinct prime factors does it have?
#distinct-prime-factors
#prime-exponents
#hard
A 5
B 8
C 6
D 11
Explanation opens after your attempt
Step 1
Concept
अलग-अलग अभाज्य गुणनखंडों में घातों को नहीं जोड़ा जाता। / For distinct prime factors, exponents are not added.
Step 2
Why this answer is correct
आधार 2, 3, 5, 7 और 11 हैं। / The bases are 2, 3, 5, 7, and 11.
Step 3
Exam Tip
इसलिए अलग-अलग अभाज्य गुणनखंड 5 हैं। / Therefore, there are 5 distinct prime factors.
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यदि \(20736=2^m\times3^4\), तो (m) का मान क्या है?
If \(20736=2^m\times3^4\), what is the value of (m)?
#exponent-comparison
#number-20736
#hard
A 8
B 7
C 6
D 9
Explanation opens after your attempt
Step 1
Concept
\(20736=256\times81\) लिखा जा सकता है। / (20736) can be written as \(256\times81\).
Step 2
Why this answer is correct
\(256=2^8\) और \(81=3^4\), इसलिए \(20736=2^8\times3^4\)। / \(256=2^8\) and \(81=3^4\), so \(20736=2^8\times3^4\).
Step 3
Exam Tip
तुलना करने पर (m=8) है। / Comparing gives (m=8).
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यदि \(22050=2\times3^b\times5^2\times7^2\), तो (b) का मान क्या है?
If \(22050=2\times3^b\times5^2\times7^2\), what is the value of (b)?
#exponent-comparison
#number-22050
#hard
A 2
B 1
C 3
D 4
Explanation opens after your attempt
Step 1
Concept
\(22050=450\times49\) लिखें। / Write \(22050=450\times49\).
Step 2
Why this answer is correct
\(450=2\times3^2\times5^2\) और \(49=7^2\), इसलिए 3 की घात 2 है। / \(450=2\times3^2\times5^2\) and \(49=7^2\), so the power of 3 is 2.
Step 3
Exam Tip
दिए गए रूप से तुलना करने पर (b=2) है। / Comparing with the given form gives (b=2).
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यदि \(15840=2^a\times3^2\times5\times11\), तो (a) का मान क्या है?
If \(15840=2^a\times3^2\times5\times11\), what is the value of (a)?
#exponent-comparison
#number-15840
#hard
A 5
B 4
C 6
D 3
Explanation opens after your attempt
Step 1
Concept
\(15840=32\times495\) है। / \(15840=32\times495\).
Step 2
Why this answer is correct
\(32=2^5\) और \(495=3^2\times5\times11\), इसलिए 2 की घात 5 है। / \(32=2^5\) and \(495=3^2\times5\times11\), so the power of 2 is 5.
Step 3
Exam Tip
तुलना करने पर (a=5) मिलेगा। / Comparing gives (a=5).
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संख्या 27720 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 27720?
#prime-factorisation
#number-27720
#hard
A \(2^3\times3^2\times5\times7\times11\)
B \(2^2\times3^3\times5\times7\times11\)
C \(8\times3465\)
D \(2^3\times9\times385\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3^2\times5\times7\times11\)
Step 1
Concept
\(27720=8\times3465\) लिखें। / Write \(27720=8\times3465\).
Step 2
Why this answer is correct
\(3465=3^2\times5\times7\times11\), इसलिए \(27720=2^3\times3^2\times5\times7\times11\)। / \(3465=3^2\times5\times7\times11\), so \(27720=2^3\times3^2\times5\times7\times11\).
Step 3
Exam Tip
3465 को पूरा अभाज्य रूप दें। / Give 3465 its complete prime form.
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संख्या 22050 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 22050?
#prime-factorisation
#number-22050
#hard
A \(2\times3^2\times5^2\times7^2\)
B \(2^2\times3\times5^2\times7^2\)
C \(450\times49\)
D \(2\times225\times49\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^2\times5^2\times7^2\)
Step 1
Concept
\(22050=450\times49\) लिखें। / Write \(22050=450\times49\).
Step 2
Why this answer is correct
\(450=2\times3^2\times5^2\) और \(49=7^2\), इसलिए \(22050=2\times3^2\times5^2\times7^2\)। / \(450=2\times3^2\times5^2\) and \(49=7^2\), so \(22050=2\times3^2\times5^2\times7^2\).
Step 3
Exam Tip
450 को पूरा अभाज्य रूप दें। / Give 450 its complete prime form.
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संख्या 20736 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 20736?
#prime-factorisation
#square-number
#hard
A \(2^8\times3^4\)
B \(2^7\times3^4\)
C \(256\times81\)
D \(144^2\)
Explanation opens after your attempt
Correct Answer
A. \(2^8\times3^4\)
Step 1
Concept
\(20736=256\times81\) लिखें। / Write \(20736=256\times81\).
Step 2
Why this answer is correct
\(256=2^8\) और \(81=3^4\), इसलिए \(20736=2^8\times3^4\)। / \(256=2^8\) and \(81=3^4\), so \(20736=2^8\times3^4\).
Step 3
Exam Tip
256 और 81 को अभाज्य घातों में बदलें। / Convert 256 and 81 into prime powers.
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संख्या 17640 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 17640?
#prime-factorisation
#number-17640
#hard
A \(2^3\times3^2\times5\times7^2\)
B \(2^4\times3^2\times5\times7\)
C \(8\times2205\)
D \(2^3\times45\times49\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3^2\times5\times7^2\)
Step 1
Concept
\(17640=8\times2205\) लिखें। / Write \(17640=8\times2205\).
Step 2
Why this answer is correct
\(2205=3^2\times5\times7^2\), इसलिए \(17640=2^3\times3^2\times5\times7^2\)। / \(2205=3^2\times5\times7^2\), so \(17640=2^3\times3^2\times5\times7^2\).
Step 3
Exam Tip
2205 को पूरा अभाज्य रूप दें। / Give 2205 its complete prime form.
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संख्या 15840 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 15840?
#prime-factorisation
#number-15840
#hard
A \(2^5\times3^2\times5\times11\)
B \(2^4\times3^2\times5\times11\)
C \(32\times495\)
D \(2^5\times45\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^5\times3^2\times5\times11\)
Step 1
Concept
\(15840=32\times495\) लिखें। / Write \(15840=32\times495\).
Step 2
Why this answer is correct
\(32=2^5\) और \(495=3^2\times5\times11\), इसलिए \(15840=2^5\times3^2\times5\times11\)। / \(32=2^5\) and \(495=3^2\times5\times11\), so \(15840=2^5\times3^2\times5\times11\).
Step 3
Exam Tip
495 को पूरा अभाज्य रूप दें। / Give 495 its complete prime form.
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संख्या 14700 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 14700?
#prime-factorisation
#number-14700
#hard
A \(2^2\times3\times5^2\times7^2\)
B \(2\times3^2\times5^2\times7^2\)
C \(300\times49\)
D \(4\times3675\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3\times5^2\times7^2\)
Step 1
Concept
\(14700=300\times49\) लिखें। / Write \(14700=300\times49\).
Step 2
Why this answer is correct
\(300=2^2\times3\times5^2\) और \(49=7^2\), इसलिए \(14700=2^2\times3\times5^2\times7^2\)। / \(300=2^2\times3\times5^2\) and \(49=7^2\), so \(14700=2^2\times3\times5^2\times7^2\).
Step 3
Exam Tip
300 को अभाज्य घातों में बदलें। / Convert 300 into prime powers.
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संख्या 13230 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 13230?
#prime-factorisation
#number-13230
#hard
A \(2\times3^3\times5\times7^2\)
B \(2^2\times3^2\times5\times7^2\)
C \(270\times49\)
D \(2\times135\times49\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^3\times5\times7^2\)
Step 1
Concept
\(13230=270\times49\) लिखें। / Write \(13230=270\times49\).
Step 2
Why this answer is correct
\(270=2\times3^3\times5\) और \(49=7^2\), इसलिए \(13230=2\times3^3\times5\times7^2\)। / \(270=2\times3^3\times5\) and \(49=7^2\), so \(13230=2\times3^3\times5\times7^2\).
Step 3
Exam Tip
270 और 49 को अंतिम रूप में न रखें। / Do not keep 270 and 49 in the final form.
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संख्या 12320 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 12320?
#prime-factorisation
#number-12320
#hard
A \(2^5\times5\times7\times11\)
B \(2^4\times5\times7\times11\)
C \(32\times385\)
D \(2^5\times35\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^5\times5\times7\times11\)
Step 1
Concept
\(12320=32\times385\) लिखें। / Write \(12320=32\times385\).
Step 2
Why this answer is correct
\(32=2^5\) और \(385=5\times7\times11\), इसलिए \(12320=2^5\times5\times7\times11\)। / \(32=2^5\) and \(385=5\times7\times11\), so \(12320=2^5\times5\times7\times11\).
Step 3
Exam Tip
385 को पूरा अभाज्य रूप दें। / Give 385 its complete prime form.
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संख्या 10368 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 10368?
#prime-factorisation
#number-10368
#hard
A \(2^7\times3^4\)
B \(2^6\times3^4\)
C \(128\times81\)
D \(2^7\times27\times3\)
Explanation opens after your attempt
Correct Answer
A. \(2^7\times3^4\)
Step 1
Concept
\(10368=128\times81\) लिखें। / Write \(10368=128\times81\).
Step 2
Why this answer is correct
\(128=2^7\) और \(81=3^4\), इसलिए \(10368=2^7\times3^4\)। / \(128=2^7\) and \(81=3^4\), so \(10368=2^7\times3^4\).
Step 3
Exam Tip
128 और 81 दोनों को अभाज्य घातों में लिखें। / Write both 128 and 81 as prime powers.
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संख्या 9800 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 9800?
#prime-factorisation
#number-9800
#hard
A \(2^3\times5^2\times7^2\)
B \(2^2\times5^2\times7^2\)
C \(8\times1225\)
D \(2^3\times35^2\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times5^2\times7^2\)
Step 1
Concept
\(9800=8\times1225\) लिखें। / Write \(9800=8\times1225\).
Step 2
Why this answer is correct
\(8=2^3\) और \(1225=5^2\times7^2\), इसलिए \(9800=2^3\times5^2\times7^2\)। / \(8=2^3\) and \(1225=5^2\times7^2\), so \(9800=2^3\times5^2\times7^2\).
Step 3
Exam Tip
1225 को अंतिम रूप में न छोड़ें। / Do not leave 1225 in the final form.
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संख्या 8820 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 8820?
#prime-factorisation
#number-8820
#hard
A \(2^2\times3^2\times5\times7^2\)
B \(2\times3^2\times5\times7^2\)
C \(180\times49\)
D \(4\times2205\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^2\times5\times7^2\)
Step 1
Concept
\(8820=180\times49\) लिखें। / Write \(8820=180\times49\).
Step 2
Why this answer is correct
\(180=2^2\times3^2\times5\) और \(49=7^2\), इसलिए \(8820=2^2\times3^2\times5\times7^2\)। / \(180=2^2\times3^2\times5\) and \(49=7^2\), so \(8820=2^2\times3^2\times5\times7^2\).
Step 3
Exam Tip
180 और 49 को अभाज्य घातों में बदलें। / Convert 180 and 49 into prime powers.
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संख्या 8085 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 8085?
#prime-factorisation
#number-8085
#hard
A \(3\times5\times7^2\times11\)
B \(3^2\times5\times7\times11\)
C \(15\times539\)
D \(3\times2695\)
Explanation opens after your attempt
Correct Answer
A. \(3\times5\times7^2\times11\)
Step 1
Concept
\(8085=15\times539\) लिखें। / Write \(8085=15\times539\).
Step 2
Why this answer is correct
\(15=3\times5\) और \(539=7^2\times11\), इसलिए \(8085=3\times5\times7^2\times11\)। / \(15=3\times5\) and \(539=7^2\times11\), so \(8085=3\times5\times7^2\times11\).
Step 3
Exam Tip
539 को भी पूरा अभाज्य रूप दें। / Give 539 its complete prime form too.
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संख्या 7560 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 7560?
#prime-factorisation
#number-7560
#hard
A \(2^3\times3^3\times5\times7\)
B \(2^2\times3^3\times5\times7\)
C \(8\times945\)
D \(2^3\times27\times35\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3^3\times5\times7\)
Step 1
Concept
\(7560=8\times945\) लिखें। / Write \(7560=8\times945\).
Step 2
Why this answer is correct
\(8=2^3\) और \(945=3^3\times5\times7\), इसलिए \(7560=2^3\times3^3\times5\times7\)। / \(8=2^3\) and \(945=3^3\times5\times7\), so \(7560=2^3\times3^3\times5\times7\).
Step 3
Exam Tip
945 को अंतिम रूप में न छोड़ें। / Do not leave 945 in the final form.
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संख्या 7350 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 7350?
#prime-factorisation
#number-7350
#hard
A \(2\times3\times5^2\times7^2\)
B \(2^2\times3\times5\times7^2\)
C \(150\times49\)
D \(2\times75\times49\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3\times5^2\times7^2\)
Step 1
Concept
\(7350=150\times49\) लिखें। / Write \(7350=150\times49\).
Step 2
Why this answer is correct
\(150=2\times3\times5^2\) और \(49=7^2\), इसलिए \(7350=2\times3\times5^2\times7^2\)। / \(150=2\times3\times5^2\) and \(49=7^2\), so \(7350=2\times3\times5^2\times7^2\).
Step 3
Exam Tip
150 और 49 को अलग-अलग पूरा तोड़ें। / Break 150 and 49 completely and separately.
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संख्या 5670 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 5670?
#prime-factorisation
#number-5670
#hard
A \(2\times3^4\times5\times7\)
B \(2\times3^3\times5\times7\)
C \(81\times70\)
D \(2\times81\times35\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^4\times5\times7\)
Step 1
Concept
\(5670=81\times70\) लिखें। / Write \(5670=81\times70\).
Step 2
Why this answer is correct
\(81=3^4\) और \(70=2\times5\times7\), इसलिए \(5670=2\times3^4\times5\times7\)। / \(81=3^4\) and \(70=2\times5\times7\), so \(5670=2\times3^4\times5\times7\).
Step 3
Exam Tip
81 को \(3^4\) में बदलना जरूरी है। / It is necessary to change 81 into \(3^4\).
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संख्या 5292 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 5292?
#prime-factorisation
#number-5292
#hard
A \(2^2\times3^3\times7^2\)
B \(2^3\times3^2\times7^2\)
C \(4\times1323\)
D \(12\times441\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^3\times7^2\)
Step 1
Concept
\(5292=4\times1323\) लिखें। / Write \(5292=4\times1323\).
Step 2
Why this answer is correct
\(4=2^2\) और \(1323=3^3\times7^2\), इसलिए \(5292=2^2\times3^3\times7^2\)। / \(4=2^2\) and \(1323=3^3\times7^2\), so \(5292=2^2\times3^3\times7^2\).
Step 3
Exam Tip
1323 को 3 और 7 की घातों में बदलें। / Convert 1323 into powers of 3 and 7.
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संख्या 5040 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 5040?
#prime-factorisation
#number-5040
#hard
A \(2^4\times3^2\times5\times7\)
B \(2^3\times3^2\times5\times7\)
C \(16\times315\)
D \(2^4\times9\times35\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\times3^2\times5\times7\)
Step 1
Concept
\(5040=16\times315\) लिखें। / Write \(5040=16\times315\).
Step 2
Why this answer is correct
\(16=2^4\) और \(315=3^2\times5\times7\), इसलिए \(5040=2^4\times3^2\times5\times7\)। / \(16=2^4\) and \(315=3^2\times5\times7\), so \(5040=2^4\times3^2\times5\times7\).
Step 3
Exam Tip
315 को पूरा अभाज्य रूप दें। / Give 315 its complete prime form.
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संख्या 4410 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 4410?
#prime-factorisation
#number-4410
#hard
A \(2\times3^2\times5\times7^2\)
B \(2^2\times3\times5\times7^2\)
C \(90\times49\)
D \(2\times45\times49\)
Explanation opens after your attempt
Correct Answer
A. \(2\times3^2\times5\times7^2\)
Step 1
Concept
\(4410=90\times49\) लिखें। / Write \(4410=90\times49\).
Step 2
Why this answer is correct
\(90=2\times3^2\times5\) और \(49=7^2\), इसलिए \(4410=2\times3^2\times5\times7^2\)। / \(90=2\times3^2\times5\) and \(49=7^2\), so \(4410=2\times3^2\times5\times7^2\).
Step 3
Exam Tip
90 और 49 दोनों को अभाज्य रूप दें। / Give prime form to both 90 and 49.
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संख्या 3465 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 3465?
#prime-factorisation
#number-3465
#hard
A \(3^2\times5\times7\times11\)
B \(3\times5\times7\times11\)
C \(9\times385\)
D \(45\times77\)
Explanation opens after your attempt
Correct Answer
A. \(3^2\times5\times7\times11\)
Step 1
Concept
\(3465=9\times385\) लिखें। / Write \(3465=9\times385\).
Step 2
Why this answer is correct
\(9=3^2\) और \(385=5\times7\times11\), इसलिए \(3465=3^2\times5\times7\times11\)। / \(9=3^2\) and \(385=5\times7\times11\), so \(3465=3^2\times5\times7\times11\).
Step 3
Exam Tip
385 को भी पूरा अभाज्य रूप दें। / Give 385 its complete prime form too.
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संख्या 2376 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 2376?
#prime-factorisation
#number-2376
#hard
A \(2^3\times3^3\times11\)
B \(2^2\times3^3\times11\)
C \(8\times297\)
D \(2^3\times27\times11\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\times3^3\times11\)
Step 1
Concept
\(2376=8\times297\) लिखें। / Write \(2376=8\times297\).
Step 2
Why this answer is correct
\(8=2^3\) और \(297=3^3\times11\), इसलिए \(2376=2^3\times3^3\times11\)। / \(8=2^3\) and \(297=3^3\times11\), so \(2376=2^3\times3^3\times11\).
Step 3
Exam Tip
297 को अंतिम रूप में न छोड़ें। / Do not leave 297 in the final form.
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अभाज्य गुणनखंडन में \(18^2\times5\) को अंतिम रूप क्यों नहीं माना जाता?
Why is \(18^2\times5\) not considered the final form in prime factorisation?
#prime-factorisation
#composite-base
#hard
A क्योंकि 18 संयुक्त संख्या है / Because 18 is composite
B क्योंकि 5 संयुक्त संख्या है / Because 5 is composite
C क्योंकि घात का प्रयोग नहीं किया जा सकता / Because powers cannot be used
D क्योंकि गुणनफल बदल जाता है / Because the product changes
Explanation opens after your attempt
Correct Answer
A. क्योंकि 18 संयुक्त संख्या है / Because 18 is composite
Step 1
Concept
अंतिम अभाज्य गुणनखंडन में आधार अभाज्य होने चाहिए। / In the final prime factorisation, bases must be prime.
Step 2
Why this answer is correct
\(18=2\times3^2\), इसलिए \(18^2\) को \(2^2\times3^4\) में बदलना होगा। / \(18=2\times3^2\), so \(18^2\) must be changed into \(2^2\times3^4\).
Step 3
Exam Tip
संयुक्त आधार को अंतिम उत्तर में न छोड़ें। / Do not leave a composite base in the final answer.
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अभाज्य गुणनखंडन में \(8\times3465\) को अंतिम उत्तर क्यों नहीं माना जाएगा?
Why will \(8\times3465\) not be considered the final answer in prime factorisation?
#prime-factorisation
#concept-check
#hard
A क्योंकि 8 और 3465 संयुक्त रूप हैं / Because 8 and 3465 are composite forms
B क्योंकि 8 अभाज्य है / Because 8 is prime
C क्योंकि 3465 को तोड़ा नहीं जा सकता / Because 3465 cannot be factorised
D क्योंकि गुणनफल बदल जाता है / Because the product changes
Explanation opens after your attempt
Correct Answer
A. क्योंकि 8 और 3465 संयुक्त रूप हैं / Because 8 and 3465 are composite forms
Step 1
Concept
अभाज्य गुणनखंडन में हर अंतिम गुणनखंड अभाज्य आधार में होना चाहिए। / In prime factorisation, every final factor should be in prime-base form.
Step 2
Why this answer is correct
\(8=2^3\) और \(3465=3^2\times5\times7\times11\) है। / \(8=2^3\) and \(3465=3^2\times5\times7\times11\).
Step 3
Exam Tip
इसलिए अंतिम रूप \(2^3\times3^2\times5\times7\times11\) होगा। / Therefore, the final form is \(2^3\times3^2\times5\times7\times11\).
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संख्या 62208 का सही अभाज्य गुणनखंडन क्या है?
What is the correct prime factorisation of 62208?
#prime-factorisation
#number-62208
#hard
A \(2^8\times3^5\)
B \(2^7\times3^5\)
C \(256\times243\)
D \(2^8\times81\times3\)
Explanation opens after your attempt
Correct Answer
A. \(2^8\times3^5\)
Step 1
Concept
\(62208=256\times243\) लिखें। / Write \(62208=256\times243\).
Step 2
Why this answer is correct
\(256=2^8\) और \(243=3^5\), इसलिए \(62208=2^8\times3^5\)। / \(256=2^8\) and \(243=3^5\), so \(62208=2^8\times3^5\).
Step 3
Exam Tip
256 और 243 को अभाज्य घातों में लिखें। / Write 256 and 243 as prime powers.
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संख्या 41580 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 41580?
#prime-factorisation
#number-41580
#hard
A \(2^2\times3^3\times5\times7\times11\)
B \(2\times3^3\times5\times7\times11\)
C \(4\times10395\)
D \(36\times1155\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3^3\times5\times7\times11\)
Step 1
Concept
\(41580=4\times10395\) लिखें। / Write \(41580=4\times10395\).
Step 2
Why this answer is correct
\(10395=3^3\times5\times7\times11\), इसलिए \(41580=2^2\times3^3\times5\times7\times11\)। / \(10395=3^3\times5\times7\times11\), so \(41580=2^2\times3^3\times5\times7\times11\).
Step 3
Exam Tip
10395 को पूरा अभाज्य रूप दें। / Give 10395 its complete prime form.
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