यदि \(2^3\times3^3\times5^2\times7\times11\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^3\times3^3\times5^2\times7\times11\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#number-415800
#expert
A 415800
B 207900
C 831600
D 277200
Explanation opens after your attempt
Step 1
Concept
\(2^3=8\), \(3^3=27\) और \(5^2=25\) निकालें। / Calculate \(2^3=8\), \(3^3=27\), and \(5^2=25\).
Step 2
Why this answer is correct
\(8\times27\times25\times7\times11=415800\)। / \(8\times27\times25\times7\times11=415800\).
Step 3
Exam Tip
कई गुणनखंड हों तो छोटे समूह बनाकर गुणा करें। / When there are many factors, multiply in small groups.
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यदि \(2^4\times3^5\times5^2\times7\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^4\times3^5\times5^2\times7\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#expert
#mcq
A 680400
B 340200
C 1360800
D 453600
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\), \(3^5=243\), \(5^2=25\) और (7) लें। / Take \(2^4=16\), \(3^5=243\), \(5^2=25\), and (7).
Step 2
Why this answer is correct
\(16\times243\times25\times7=680400\)। / \(16\times243\times25\times7=680400\).
Step 3
Exam Tip
घातों को पहले हल करने से सही विकल्प जल्दी मिलता है। / Solving powers first helps find the correct option quickly.
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किस विकल्प में \(2^4\times3^3\times5^2\times7^2\) का सही मान है?
Which option gives the correct value of \(2^4\times3^3\times5^2\times7^2\)?
#evaluate-factorisation
#number-529200
#expert
A 529200
B 264600
C 1058400
D 415800
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\), \(3^3=27\), \(5^2=25\) और \(7^2=49\) निकालें। / Calculate \(2^4=16\), \(3^3=27\), \(5^2=25\), and \(7^2=49\).
Step 2
Why this answer is correct
\(16\times27\times25\times49=529200\)। / \(16\times27\times25\times49=529200\).
Step 3
Exam Tip
गुणा को चरणों में करें। / Do the multiplication step by step.
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किस विकल्प में \(2^6\times3^4\times11^2\) का सही मान है?
Which option gives the correct value of \(2^6\times3^4\times11^2\)?
#evaluate-factorisation
#number-627264
#expert
A 627264
B 313632
C 1254528
D 139392
Explanation opens after your attempt
Step 1
Concept
\(2^6=64\), \(3^4=81\) और \(11^2=121\) निकालें। / Calculate \(2^6=64\), \(3^4=81\), and \(11^2=121\).
Step 2
Why this answer is correct
\(64\times81\times121=627264\)। / \(64\times81\times121=627264\).
Step 3
Exam Tip
तीनों घातों को पहले अलग-अलग हल करें। / Solve all three powers separately first.
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किस संख्या का अभाज्य गुणनखंडन \(2^3\times3^6\times5\times13\) है?
Which number has prime factorisation \(2^3\times3^6\times5\times13\)?
#evaluate-factorisation
#number-379080
#expert
A 379080
B 189540
C 758160
D 117000
Explanation opens after your attempt
Step 1
Concept
\(2^3=8\) और \(3^6=729\) निकालें। / Calculate \(2^3=8\) and \(3^6=729\).
Step 2
Why this answer is correct
\(8\times729\times5\times13=379080\)। / \(8\times729\times5\times13=379080\).
Step 3
Exam Tip
बड़े घात वाले भाग को पहले सरल करें। / Simplify the higher-power part first.
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किस संख्या का अभाज्य गुणनखंडन \(3^4\times5^2\times7^2\) है?
Which number has prime factorisation \(3^4\times5^2\times7^2\)?
#evaluate-factorisation
#number-99225
#expert
A 99225
B 49612
C 198450
D 11025
Explanation opens after your attempt
Step 1
Concept
\(3^4=81\), \(5^2=25\) और \(7^2=49\) निकालें। / Calculate \(3^4=81\), \(5^2=25\), and \(7^2=49\).
Step 2
Why this answer is correct
\(81\times25\times49=99225\)। / \(81\times25\times49=99225\).
Step 3
Exam Tip
वर्ग घातों को जल्दबाजी में न छोड़ें। / Do not skip square powers in a hurry.
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किस संख्या का अभाज्य गुणनखंडन \(2^7\times3^2\times11^2\) है?
Which number has prime factorisation \(2^7\times3^2\times11^2\)?
#evaluate-factorisation
#number-139392
#expert
A 139392
B 69696
C 278784
D 177408
Explanation opens after your attempt
Step 1
Concept
\(2^7=128\), \(3^2=9\) और \(11^2=121\) निकालें। / Calculate \(2^7=128\), \(3^2=9\), and \(11^2=121\).
Step 2
Why this answer is correct
\(128\times9\times121=139392\)। / \(128\times9\times121=139392\).
Step 3
Exam Tip
पहले घातों का मान निकालें, फिर गुणा करें। / Find the values of powers first, then multiply.
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किस संख्या का अभाज्य गुणनखंडन \(2^4\times3^5\times7^2\) है?
Which number has prime factorisation \(2^4\times3^5\times7^2\)?
#evaluate-factorisation
#number-190512
#expert
A 190512
B 95256
C 381024
D 127008
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\), \(3^5=243\) और \(7^2=49\) निकालें। / Calculate \(2^4=16\), \(3^5=243\), and \(7^2=49\).
Step 2
Why this answer is correct
\(16\times243\times49=190512\)। / \(16\times243\times49=190512\).
Step 3
Exam Tip
तीनों घातों का मान अलग-अलग निकालना सुरक्षित रहता है। / Finding all three powers separately is safer.
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किस संख्या का अभाज्य गुणनखंडन \(2^6\times3^5\times7^2\) है?
Which number has prime factorisation \(2^6\times3^5\times7^2\)?
#evaluate-factorisation
#number-762048
#expert
A 762048
B 381024
C 1524096
D 190512
Explanation opens after your attempt
Step 1
Concept
\(2^6=64\), \(3^5=243\) और \(7^2=49\) निकालें। / Calculate \(2^6=64\), \(3^5=243\), and \(7^2=49\).
Step 2
Why this answer is correct
\(64\times243\times49=762048\)। / \(64\times243\times49=762048\).
Step 3
Exam Tip
ऐसी गणना में घातों को पहले हल करें। / In such calculations, solve powers first.
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यदि \(2^2\times3^2\times5^2\times11^2\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^2\times3^2\times5^2\times11^2\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#square-number
#hard
A 108900
B 54450
C 217800
D 27225
Explanation opens after your attempt
Step 1
Concept
\(2^2=4\), \(3^2=9\), \(5^2=25\) और \(11^2=121\) निकालें। / Calculate \(2^2=4\), \(3^2=9\), \(5^2=25\), and \(11^2=121\).
Step 2
Why this answer is correct
\(4\times9\times25\times121=108900\)। / \(4\times9\times25\times121=108900\).
Step 3
Exam Tip
यह वर्ग रूप है, इसलिए घातों को ध्यान से देखें। / This is a square form, so observe the powers carefully.
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यदि \(2^6\times3^3\times5^2\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^6\times3^3\times5^2\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#hard
#mcq
A 43200
B 21600
C 86400
D 32400
Explanation opens after your attempt
Step 1
Concept
\(2^6=64\), \(3^3=27\) और \(5^2=25\) हैं। / \(2^6=64\), \(3^3=27\), and \(5^2=25\).
Step 2
Why this answer is correct
\(64\times27\times25=43200\)। / \(64\times27\times25=43200\).
Step 3
Exam Tip
घातों को पहले हल करने से सही विकल्प जल्दी मिलता है। / Solving powers first helps find the correct option quickly.
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किस विकल्प में \(2^3\times3^5\times7^2\) का सही मान है?
Which option gives the correct value of \(2^3\times3^5\times7^2\)?
#evaluate-factorisation
#number-95256
#hard
A 95256
B 47628
C 190512
D 68040
Explanation opens after your attempt
Step 1
Concept
\(2^3=8\), \(3^5=243\) और \(7^2=49\) निकालें। / Calculate \(2^3=8\), \(3^5=243\), and \(7^2=49\).
Step 2
Why this answer is correct
\(8\times243\times49=95256\)। / \(8\times243\times49=95256\).
Step 3
Exam Tip
बड़ी घातों को पहले सरल करें। / Simplify higher powers first.
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किस विकल्प में \(2^5\times3^4\times7^2\) का सही मान है?
Which option gives the correct value of \(2^5\times3^4\times7^2\)?
#evaluate-factorisation
#number-127008
#hard
A 127008
B 63504
C 254016
D 95256
Explanation opens after your attempt
Step 1
Concept
\(2^5=32\), \(3^4=81\) और \(7^2=49\) निकालें। / Calculate \(2^5=32\), \(3^4=81\), and \(7^2=49\).
Step 2
Why this answer is correct
\(32\times81\times49=127008\)। / \(32\times81\times49=127008\).
Step 3
Exam Tip
तीनों घातों को पहले अलग-अलग हल करें। / Solve all three powers separately first.
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किस संख्या का अभाज्य गुणनखंडन \(2^5\times3^4\times7^2\) है?
Which number has prime factorisation \(2^5\times3^4\times7^2\)?
#evaluate-factorisation
#number-127008
#hard
A 127008
B 63504
C 254016
D 95256
Explanation opens after your attempt
Step 1
Concept
\(2^5=32\), \(3^4=81\) और \(7^2=49\) निकालें। / Calculate \(2^5=32\), \(3^4=81\), and \(7^2=49\).
Step 2
Why this answer is correct
\(32\times81\times49=127008\)। / \(32\times81\times49=127008\).
Step 3
Exam Tip
घातों को पहले हल करने से गुणा साफ रहता है। / Solving powers first keeps multiplication clear.
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किस संख्या का अभाज्य गुणनखंडन \(2^6\times3^3\times5^2\) है?
Which number has prime factorisation \(2^6\times3^3\times5^2\)?
#evaluate-factorisation
#number-43200
#hard
A 43200
B 21600
C 86400
D 32400
Explanation opens after your attempt
Step 1
Concept
\(2^6=64\), \(3^3=27\) और \(5^2=25\) निकालें। / Calculate \(2^6=64\), \(3^3=27\), and \(5^2=25\).
Step 2
Why this answer is correct
\(64\times27\times25=43200\)। / \(64\times27\times25=43200\).
Step 3
Exam Tip
तीनों घातों को अलग-अलग सरल करें। / Simplify all three powers separately.
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किस संख्या का अभाज्य गुणनखंडन \(2\times3\times5\times7\times11^2\) है?
Which number has prime factorisation \(2\times3\times5\times7\times11^2\)?
#evaluate-factorisation
#number-25410
#hard
A 25410
B 12705
C 50820
D 27720
Explanation opens after your attempt
Step 1
Concept
\(11^2=121\) निकालें। / Calculate \(11^2=121\).
Step 2
Why this answer is correct
\(2\times3\times5\times7\times121=25410\)। / \(2\times3\times5\times7\times121=25410\).
Step 3
Exam Tip
पहले छोटे गुणनखंडों का गुणनफल 210 लें, फिर 121 से गुणा करें। / First take the product of smaller factors as 210, then multiply by 121.
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किस संख्या का अभाज्य गुणनखंडन \(2^5\times3^4\times7\) है?
Which number has prime factorisation \(2^5\times3^4\times7\)?
#evaluate-factorisation
#number-18144
#hard
A 18144
B 9072
C 36288
D 12096
Explanation opens after your attempt
Step 1
Concept
\(2^5=32\) और \(3^4=81\) निकालें। / Calculate \(2^5=32\) and \(3^4=81\).
Step 2
Why this answer is correct
\(32\times81\times7=18144\)। / \(32\times81\times7=18144\).
Step 3
Exam Tip
बड़ी घातों का मान पहले निकालना ठीक रहता है। / It is better to find higher powers first.
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किस संख्या का अभाज्य गुणनखंडन \(2^4\times3^4\times11\) है?
Which number has prime factorisation \(2^4\times3^4\times11\)?
#evaluate-factorisation
#number-14256
#hard
A 14256
B 7128
C 28512
D 18144
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\) और \(3^4=81\) निकालें। / Calculate \(2^4=16\) and \(3^4=81\).
Step 2
Why this answer is correct
\(16\times81\times11=14256\)। / \(16\times81\times11=14256\).
Step 3
Exam Tip
घातों को पहले हल करें, फिर 11 से गुणा करें। / Solve powers first, then multiply by 11.
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यदि \(2^3\times5^2\times7^2\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^3\times5^2\times7^2\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#square-base
#hard
A 9800
B 4900
C 19600
D 1225
Explanation opens after your attempt
Step 1
Concept
\(2^3=8\), \(5^2=25\) और \(7^2=49\) निकालें। / Calculate \(2^3=8\), \(5^2=25\), and \(7^2=49\).
Step 2
Why this answer is correct
\(8\times25\times49=9800\)। / \(8\times25\times49=9800\).
Step 3
Exam Tip
तीनों घातों का मान अलग-अलग निकालें। / Find all three powers separately.
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यदि \(2^4\times3^2\times5\times7\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^4\times3^2\times5\times7\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#hard
#mcq
A 5040
B 2520
C 10080
D 7560
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
\(16\times9\times5\times7=5040\)। / \(16\times9\times5\times7=5040\).
Step 3
Exam Tip
घातों को पहले हल करने से सही विकल्प जल्दी मिलता है। / Solving powers first helps find the correct option quickly.
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किस विकल्प में \(2^8\times3^4\) का सही मान है?
Which option gives the correct value of \(2^8\times3^4\)?
#evaluate-factorisation
#number-20736
#hard
A 20736
B 10368
C 41472
D 7776
Explanation opens after your attempt
Step 1
Concept
\(2^8=256\) और \(3^4=81\) निकालें। / Calculate \(2^8=256\) and \(3^4=81\).
Step 2
Why this answer is correct
\(256\times81=20736\)। / \(256\times81=20736\).
Step 3
Exam Tip
बड़ी घातों को अलग-अलग सरल करके गुणा करें। / Simplify higher powers separately and multiply.
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किस विकल्प में \(2^4\times3^2\times5\times7^2\) का सही मान है?
Which option gives the correct value of \(2^4\times3^2\times5\times7^2\)?
#evaluate-factorisation
#number-35280
#hard
A 35280
B 17640
C 70560
D 22050
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\), \(3^2=9\) और \(7^2=49\) निकालें। / Calculate \(2^4=16\), \(3^2=9\), and \(7^2=49\).
Step 2
Why this answer is correct
\(16\times9\times5\times49=35280\)। / \(16\times9\times5\times49=35280\).
Step 3
Exam Tip
घातों को पहले अलग-अलग हल करें। / Solve powers separately first.
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किस संख्या का अभाज्य गुणनखंडन \(2^7\times3^4\) है?
Which number has prime factorisation \(2^7\times3^4\)?
#evaluate-factorisation
#number-10368
#hard
A 10368
B 5184
C 20736
D 7776
Explanation opens after your attempt
Step 1
Concept
\(2^7=128\) और \(3^4=81\) निकालें। / Calculate \(2^7=128\) and \(3^4=81\).
Step 2
Why this answer is correct
\(128\times81=10368\)। / \(128\times81=10368\).
Step 3
Exam Tip
बड़ी घातों को पहले हल करने से गलती कम होती है। / Solving large powers first reduces mistakes.
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किस संख्या का अभाज्य गुणनखंडन \(2^2\times3^3\times7^2\) है?
Which number has prime factorisation \(2^2\times3^3\times7^2\)?
#evaluate-factorisation
#number-5292
#hard
A 5292
B 2646
C 10584
D 4410
Explanation opens after your attempt
Step 1
Concept
\(2^2=4\), \(3^3=27\) और \(7^2=49\) निकालें। / Calculate \(2^2=4\), \(3^3=27\), and \(7^2=49\).
Step 2
Why this answer is correct
\(4\times27\times49=5292\)। / \(4\times27\times49=5292\).
Step 3
Exam Tip
तीनों घातों को अलग-अलग सरल करें। / Simplify all three powers separately.
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किस संख्या का अभाज्य गुणनखंडन \(2^4\times3^2\times5\times7\) है?
Which number has prime factorisation \(2^4\times3^2\times5\times7\)?
#evaluate-factorisation
#number-5040
#hard
A 5040
B 2520
C 10080
D 7560
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
\(16\times9\times5\times7=5040\)। / \(16\times9\times5\times7=5040\).
Step 3
Exam Tip
पहले \(16\times9=144\) करें, फिर बाकी गुणा करें। / First do \(16\times9=144\), then multiply the rest.
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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 \(2^4\times5^2\times7^2\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^4\times5^2\times7^2\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#square-number
#hard
A 19600
B 9800
C 39200
D 4900
Explanation opens after your attempt
Step 1
Concept
\(2^4=16\), \(5^2=25\) और \(7^2=49\) निकालें। / Calculate \(2^4=16\), \(5^2=25\), and \(7^2=49\).
Step 2
Why this answer is correct
\(16\times25\times49=19600\)। / \(16\times25\times49=19600\).
Step 3
Exam Tip
तीनों घातों का मान अलग-अलग निकालना सुरक्षित रहता है। / Finding all three powers separately is safer.
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यदि \(2^6\times3^2\times7^2\) किसी संख्या का अभाज्य गुणनखंडन है, तो संख्या क्या है?
If \(2^6\times3^2\times7^2\) is the prime factorisation of a number, what is the number?
#evaluate-factorisation
#hard
#mcq
A 28224
B 14112
C 56448
D 21168
Explanation opens after your attempt
Step 1
Concept
\(2^6=64\), \(3^2=9\) और \(7^2=49\) हैं। / \(2^6=64\), \(3^2=9\), and \(7^2=49\).
Step 2
Why this answer is correct
\(64\times9\times49=28224\)। / \(64\times9\times49=28224\).
Step 3
Exam Tip
घातों को पहले हल करने से सही विकल्प जल्दी मिलता है। / Solving powers first helps find the correct option quickly.
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किस विकल्प में \(2^6\times3^2\times7^2\) का सही मान है?
Which option gives the correct value of \(2^6\times3^2\times7^2\)?
#evaluate-factorisation
#number-28224
#hard
A 28224
B 14112
C 56448
D 21168
Explanation opens after your attempt
Step 1
Concept
\(2^6=64\), \(3^2=9\) और \(7^2=49\) निकालें। / Calculate \(2^6=64\), \(3^2=9\), and \(7^2=49\).
Step 2
Why this answer is correct
\(64\times9\times49=28224\)। / \(64\times9\times49=28224\).
Step 3
Exam Tip
गुणा को चरणों में करें ताकि गलती न हो। / Do multiplication step by step to avoid mistakes.
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