Concept-wise Practice

evaluate-factorisation MCQ Questions for Class 10

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Practice Questions

143 questions tagged with evaluate-factorisation.

Question 31/143 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस विकल्प में \(2^4\times3^3\times7^2\) का सही मान है?

Which option gives the correct value of \(2^4\times3^3\times7^2\)?

Explanation opens after your attempt
Correct Answer

A. 21168

Step 1

Concept

Calculate \(2^4=16\), \(3^3=27\), and \(7^2=49\).

Step 2

Why this answer is correct

\(16\times27\times49=21168\).

Step 3

Exam Tip

Solve all three powers separately first. चरण 1: \(2^4=16\), \(3^3=27\) और \(7^2=49\) निकालें। चरण 2: \(16\times27\times49=21168\)। चरण 3: तीनों घातों को पहले अलग-अलग हल करें।

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Question 32/143 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2^7\times3^5\) है?

Which number has prime factorisation \(2^7\times3^5\)?

Explanation opens after your attempt
Correct Answer

A. 31104

Step 1

Concept

Calculate \(2^7=128\) and \(3^5=243\).

Step 2

Why this answer is correct

\(128\times243=31104\).

Step 3

Exam Tip

Simplifying both powers first is the correct method. चरण 1: \(2^7=128\) और \(3^5=243\) निकालें। चरण 2: \(128\times243=31104\)। चरण 3: दोनों घातों को पहले सरल करना सही तरीका है।

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Question 33/143 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2^4\times3\times5\times7^2\) है?

Which number has prime factorisation \(2^4\times3\times5\times7^2\)?

Explanation opens after your attempt
Correct Answer

A. 11760

Step 1

Concept

Calculate \(2^4=16\) and \(7^2=49\).

Step 2

Why this answer is correct

\(16\times3\times5\times49=11760\).

Step 3

Exam Tip

Calculating powers first makes the work easier. चरण 1: \(2^4=16\) और \(7^2=49\) निकालें। चरण 2: \(16\times3\times5\times49=11760\)। चरण 3: घातों का मान पहले निकालने से गणना आसान होती है।

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Question 34/143 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(3^2\times5^2\times7^2\) है?

Which number has prime factorisation \(3^2\times5^2\times7^2\)?

Explanation opens after your attempt
Correct Answer

A. 11025

Step 1

Concept

Calculate \(3^2=9\), \(5^2=25\), and \(7^2=49\).

Step 2

Why this answer is correct

\(9\times25\times49=11025\).

Step 3

Exam Tip

In this square form, all exponents are 2, so multiply carefully. चरण 1: \(3^2=9\), \(5^2=25\) और \(7^2=49\) निकालें। चरण 2: \(9\times25\times49=11025\)। चरण 3: वर्ग रूप में सभी घातें 2 हैं, इसलिए गुणा ध्यान से करें।

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Question 35/143 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2^5\times3^3\times7\) है?

Which number has prime factorisation \(2^5\times3^3\times7\)?

Explanation opens after your attempt
Correct Answer

A. 6048

Step 1

Concept

Calculate \(2^5=32\) and \(3^3=27\).

Step 2

Why this answer is correct

\(32\times27\times7=6048\).

Step 3

Exam Tip

Find the values of higher powers separately. चरण 1: \(2^5=32\) और \(3^3=27\) निकालें। चरण 2: \(32\times27\times7=6048\)। चरण 3: बड़ी घातों का मान अलग से निकालें।

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Question 36/143 Hard Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2^3\times3^2\times7\times11\) है?

Which number has prime factorisation \(2^3\times3^2\times7\times11\)?

Explanation opens after your attempt
Correct Answer

A. 5544

Step 1

Concept

Calculate \(2^3=8\) and \(3^2=9\).

Step 2

Why this answer is correct

\(8\times9\times7\times11=5544\).

Step 3

Exam Tip

Simplify powers first and then multiply. चरण 1: \(2^3=8\) और \(3^2=9\) निकालें। चरण 2: \(8\times9\times7\times11=5544\)। चरण 3: घातों को पहले सरल करके गुणा करें।

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Question 37/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

किस संख्या का अभाज्य गुणनखंडन \(2\times3^2\times5^2\times13\) है?

Which number has prime factorisation \(2\times3^2\times5^2\times13\)?

Explanation opens after your attempt
Correct Answer

A. 5850

Step 1

Concept

Calculate \(3^2=9\) and \(5^2=25\).

Step 2

Why this answer is correct

\(2\times9\times25\times13=5850\).

Step 3

Exam Tip

First do \(9\times25=225\), then multiply the rest. चरण 1: \(3^2=9\) और \(5^2=25\) निकालें। चरण 2: \(2\times9\times25\times13=5850\)। चरण 3: पहले \(9\times25=225\) करें, फिर बाकी गुणा करें।

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Question 38/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

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?

Explanation opens after your attempt
Correct Answer

A. 2640

Step 1

Concept

Calculate \(2^4=16\).

Step 2

Why this answer is correct

\(16\times3\times5\times11=2640\).

Step 3

Exam Tip

Do multiplication in small steps to avoid mistakes. चरण 1: \(2^4=16\) निकालें। चरण 2: \(16\times3\times5\times11=2640\)। चरण 3: गुणन को छोटे चरणों में करें ताकि गलती न हो।

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Question 39/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

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?

Explanation opens after your attempt
Correct Answer

A. 2268

Step 1

Concept

Calculate \(2^2=4\) and \(3^4=81\).

Step 2

Why this answer is correct

\(4\times81\times7=2268\).

Step 3

Exam Tip

Simplifying the higher power first is the right method. चरण 1: \(2^2=4\) और \(3^4=81\) निकालें। चरण 2: \(4\times81\times7=2268\)। चरण 3: बड़ी घात को पहले सरल करना सही तरीका है।

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Question 40/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

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?

Explanation opens after your attempt
Correct Answer

A. 2205

Step 1

Concept

Calculate \(3^2=9\) and \(7^2=49\).

Step 2

Why this answer is correct

\(9\times5\times49=2205\).

Step 3

Exam Tip

Simplify the two powers first and multiply. चरण 1: \(3^2=9\) और \(7^2=49\) निकालें। चरण 2: \(9\times5\times49=2205\)। चरण 3: दो घातों को पहले सरल करके गुणा करें।

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Question 41/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

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?

Explanation opens after your attempt
Correct Answer

A. 2016

Step 1

Concept

Calculate \(2^5=32\) and \(3^2=9\).

Step 2

Why this answer is correct

\(32\times9\times7=2016\).

Step 3

Exam Tip

Solving powers first gives the answer quickly. चरण 1: \(2^5=32\) और \(3^2=9\) निकालें। चरण 2: \(32\times9\times7=2016\)। चरण 3: घातों को पहले हल करने से उत्तर जल्दी मिलता है।

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Question 42/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

यदि \(m=3^4\times5\times7\), तो (m) का मान क्या है?

If \(m=3^4\times5\times7\), what is the value of (m)?

Explanation opens after your attempt
Correct Answer

A. 2835

Step 1

Concept

\(3^4=81\).

Step 2

Why this answer is correct

\(81\times5\times7=2835\).

Step 3

Exam Tip

Simplifying the power first keeps the calculation clear. चरण 1: \(3^4=81\) है। चरण 2: \(81\times5\times7=2835\)। चरण 3: घात को पहले सरल करने से गणना साफ रहती है।

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Question 43/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

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)?

Explanation opens after your attempt
Correct Answer

A. 2640

Step 1

Concept

\(2^4=16\).

Step 2

Why this answer is correct

\(16\times3\times5\times11=2640\).

Step 3

Exam Tip

Multiply all factors to get the number from prime form. चरण 1: \(2^4=16\) है। चरण 2: \(16\times3\times5\times11=2640\)। चरण 3: अभाज्य रूप से संख्या पाने के लिए सभी गुणनखंडों को गुणा करें।

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Question 44/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

किस संख्या का अभाज्य गुणनखंडन \(2^4\times3\times5\times13\) है?

Which number has prime factorisation \(2^4\times3\times5\times13\)?

Explanation opens after your attempt
Correct Answer

A. 3120

Step 1

Concept

Calculate \(2^4=16\).

Step 2

Why this answer is correct

\(16\times3\times5\times13=3120\).

Step 3

Exam Tip

It is easy to first treat \(3\times5\times13\) as 195 and multiply. चरण 1: \(2^4=16\) निकालें। चरण 2: \(16\times3\times5\times13=3120\)। चरण 3: पहले \(3\times5\times13\) को 195 समझकर गुणा करना आसान है।

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Question 45/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

किस संख्या का अभाज्य गुणनखंडन \(2^2\times3\times7\times11\) है?

Which number has prime factorisation \(2^2\times3\times7\times11\)?

Explanation opens after your attempt
Correct Answer

A. 924

Step 1

Concept

Calculate \(2^2=4\).

Step 2

Why this answer is correct

\(4\times3\times7\times11=924\).

Step 3

Exam Tip

With many factors, multiply in pairs. चरण 1: \(2^2=4\) निकालें। चरण 2: \(4\times3\times7\times11=924\)। चरण 3: कई गुणनखंडों में जोड़े बनाकर गुणा करें।

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Question 46/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

किस संख्या का अभाज्य गुणनखंडन \(2^5\times3^3\) है?

Which number has prime factorisation \(2^5\times3^3\)?

Explanation opens after your attempt
Correct Answer

A. 864

Step 1

Concept

Calculate \(2^5=32\) and \(3^3=27\).

Step 2

Why this answer is correct

\(32\times27=864\).

Step 3

Exam Tip

Simplify both powers separately. चरण 1: \(2^5=32\) और \(3^3=27\) निकालें। चरण 2: \(32\times27=864\)। चरण 3: दोनों घातों को अलग-अलग सरल करें।

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Question 47/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

किस संख्या का अभाज्य गुणनखंडन \(3\times5^2\times11\) है?

Which number has prime factorisation \(3\times5^2\times11\)?

Explanation opens after your attempt
Correct Answer

A. 825

Step 1

Concept

Calculate \(5^2=25\).

Step 2

Why this answer is correct

\(3\times25\times11=825\).

Step 3

Exam Tip

It is useful to simplify the power part first. चरण 1: \(5^2=25\) निकालें। चरण 2: \(3\times25\times11=825\)। चरण 3: घात वाले भाग को पहले सरल करना उपयोगी है।

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Question 48/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

किस संख्या का अभाज्य गुणनखंडन \(2^3\times3^2\times11\) है?

Which number has prime factorisation \(2^3\times3^2\times11\)?

Explanation opens after your attempt
Correct Answer

A. 792

Step 1

Concept

Calculate \(2^3=8\) and \(3^2=9\).

Step 2

Why this answer is correct

\(8\times9\times11=792\).

Step 3

Exam Tip

First solve the powers, then multiply by 11. चरण 1: \(2^3=8\) और \(3^2=9\) निकालें। चरण 2: \(8\times9\times11=792\)। चरण 3: पहले घातों को हल करें, फिर 11 से गुणा करें।

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Question 49/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2^2\times3\times5\times7\times11\) है?

Which number has prime factorisation \(2^2\times3\times5\times7\times11\)?

Explanation opens after your attempt
Correct Answer

A. 4620

Step 1

Concept

Calculate \(2^2=4\).

Step 2

Why this answer is correct

\(4\times3\times5\times7\times11=4620\).

Step 3

Exam Tip

When there are many factors, multiply in pairs. चरण 1: \(2^2=4\) निकालें। चरण 2: \(4\times3\times5\times7\times11=4620\)। चरण 3: कई गुणनखंड हों तो जोड़े बनाकर गुणा करें।

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Question 50/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

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?

Explanation opens after your attempt
Correct Answer

A. 2772

Step 1

Concept

Calculate \(2^2=4\) and \(3^2=9\).

Step 2

Why this answer is correct

\(4\times9\times7\times11=2772\).

Step 3

Exam Tip

Move step by step while multiplying. चरण 1: \(2^2=4\) और \(3^2=9\) निकालें। चरण 2: \(4\times9\times7\times11=2772\)। चरण 3: गुणा करते समय चरणों में आगे बढ़ें।

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Question 51/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

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?

Explanation opens after your attempt
Correct Answer

A. 1350

Step 1

Concept

Calculate \(3^3=27\) and \(5^2=25\).

Step 2

Why this answer is correct

\(2\times27\times25=1350\).

Step 3

Exam Tip

Simplifying the two powers first makes multiplication easy. चरण 1: \(3^3=27\) और \(5^2=25\) निकालें। चरण 2: \(2\times27\times25=1350\)। चरण 3: दो घातों को पहले सरल करने से गुणा आसान होता है।

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Question 52/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

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?

Explanation opens after your attempt
Correct Answer

A. 1188

Step 1

Concept

Calculate \(2^2=4\) and \(3^3=27\).

Step 2

Why this answer is correct

\(4\times27\times11=1188\).

Step 3

Exam Tip

Finding the value of powers first is the right method. चरण 1: \(2^2=4\) और \(3^3=27\) निकालें। चरण 2: \(4\times27\times11=1188\)। चरण 3: पहले घातों का मान निकालना ठीक तरीका है।

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Question 53/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

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?

Explanation opens after your attempt
Correct Answer

A. 1584

Step 1

Concept

Calculate \(2^4=16\) and \(3^2=9\).

Step 2

Why this answer is correct

\(16\times9\times11=1584\).

Step 3

Exam Tip

Solve powers first and then multiply. चरण 1: \(2^4=16\) और \(3^2=9\) निकालें। चरण 2: \(16\times9\times11=1584\)। चरण 3: घातों को पहले हल करके गुणा करें।

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Question 54/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

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)?

Explanation opens after your attempt
Correct Answer

A. 2520

Step 1

Concept

Calculate \(2^3=8\) and \(3^2=9\).

Step 2

Why this answer is correct

\(8\times9\times5\times7=2520\).

Step 3

Exam Tip

First solve powers, then multiply by the remaining factors. चरण 1: \(2^3=8\) और \(3^2=9\) निकालें। चरण 2: \(8\times9\times5\times7=2520\)। चरण 3: पहले घातों को हल करें, फिर बाकी गुणनखंडों से गुणा करें।

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Question 55/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

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)?

Explanation opens after your attempt
Correct Answer

A. 2100

Step 1

Concept

\(2^2=4\) and \(5^2=25\).

Step 2

Why this answer is correct

\(4\times3\times25\times7=2100\).

Step 3

Exam Tip

Solving the powers first makes multiplication easier. चरण 1: \(2^2=4\) और \(5^2=25\) हैं। चरण 2: \(4\times3\times25\times7=2100\)। चरण 3: दो घातों को पहले हल करने से गुणा आसान होता है।

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Question 56/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2^4\times3^3\times7\) है?

Which number has prime factorisation \(2^4\times3^3\times7\)?

Explanation opens after your attempt
Correct Answer

A. 3024

Step 1

Concept

Calculate \(2^4=16\) and \(3^3=27\).

Step 2

Why this answer is correct

\(16\times27\times7=3024\).

Step 3

Exam Tip

Simplify higher powers separately and multiply. चरण 1: \(2^4=16\) और \(3^3=27\) निकालें। चरण 2: \(16\times27\times7=3024\)। चरण 3: बड़ी घातों को अलग से सरल करके गुणा करें।

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Question 57/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2^2\times3^2\times7\times11\) है?

Which number has prime factorisation \(2^2\times3^2\times7\times11\)?

Explanation opens after your attempt
Correct Answer

A. 2772

Step 1

Concept

Calculate \(2^2=4\) and \(3^2=9\).

Step 2

Why this answer is correct

\(4\times9\times7\times11=2772\).

Step 3

Exam Tip

First multiply 4 and 9, then include the remaining factors. चरण 1: \(2^2=4\) और \(3^2=9\) निकालें। चरण 2: \(4\times9\times7\times11=2772\)। चरण 3: पहले 4 और 9 को गुणा करें, फिर बाकी गुणनखंड जोड़ें।

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Question 58/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2\times3^3\times5\times7\) है?

Which number has prime factorisation \(2\times3^3\times5\times7\)?

Explanation opens after your attempt
Correct Answer

A. 1890

Step 1

Concept

Calculate \(3^3=27\).

Step 2

Why this answer is correct

\(2\times27\times5\times7=1890\).

Step 3

Exam Tip

Finding the value of the power first makes calculation simple. चरण 1: \(3^3=27\) निकालें। चरण 2: \(2\times27\times5\times7=1890\)। चरण 3: घात का मान पहले निकालना गणना को सरल बनाता है।

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Question 59/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2^4\times3\times5\times7\) है?

Which number has prime factorisation \(2^4\times3\times5\times7\)?

Explanation opens after your attempt
Correct Answer

A. 1680

Step 1

Concept

Calculate \(2^4=16\).

Step 2

Why this answer is correct

\(16\times3\times5\times7=1680\).

Step 3

Exam Tip

When there are four factors, multiply smaller products in order. चरण 1: \(2^4=16\) निकालें। चरण 2: \(16\times3\times5\times7=1680\)। चरण 3: चार गुणनखंड हों तो क्रम से छोटे गुणन करें।

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Question 60/143 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 8

किस संख्या का अभाज्य गुणनखंडन \(2^3\times3^2\times11\) है?

Which number has prime factorisation \(2^3\times3^2\times11\)?

Explanation opens after your attempt
Correct Answer

A. 792

Step 1

Concept

Calculate \(2^3=8\) and \(3^2=9\).

Step 2

Why this answer is correct

\(8\times9\times11=792\).

Step 3

Exam Tip

Solve prime powers first, then multiply. चरण 1: \(2^3=8\) और \(3^2=9\) निकालें। चरण 2: \(8\times9\times11=792\)। चरण 3: अभाज्य घातों को पहले हल करें, फिर गुणा करें।

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