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smallest-prime-factor MCQ Questions for Class 10

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2 questions tagged with smallest-prime-factor.

Question 1/2 Medium Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 10

\(2^3 \times 3^2\) का सबसे छोटा अभाज्य गुणनखंड कौन सा है?

What is the smallest prime factor of \(2^3 \times 3^2\)?

Explanation opens after your attempt
Correct Answer

A. 2

Step 1

Concept

The bases in prime factorisation are the prime factors.

Step 2

Why this answer is correct

Here the bases are (2) and (3), and the smallest is (2).

Step 3

Exam Tip

To find the smallest prime factor, do not focus on exponents. चरण 1: अभाज्य गुणनखंडन में आधार संख्याएं अभाज्य गुणनखंड होती हैं। चरण 2: यहां आधार (2) और (3) हैं, इनमें सबसे छोटा (2) है। चरण 3: सबसे छोटा अभाज्य गुणनखंड खोजते समय घातों को न देखें।

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Question 2/2 Expert Mathematics Chapter 1: Real Numbers 3: Prime factorisation Class 10 Level 9

यदि \(N=2^4 \times 3^3 \times 7\) है, तो (N) का सबसे छोटा अभाज्य गुणनखंड कौन सा है?

If \(N=2^4 \times 3^3 \times 7\), what is the smallest prime factor of (N)?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

The bases in prime factorisation are the prime factors.

Step 2

Why this answer is correct

Among (2,3,7), the smallest prime number is (2).

Step 3

Exam Tip

For the smallest prime factor, look at the base, not the exponent. चरण 1: अभाज्य गुणनखंडन में लिखी सभी संख्याएं अभाज्य गुणनखंड होती हैं। चरण 2: (2,3,7) में सबसे छोटी अभाज्य संख्या (2) है। चरण 3: सबसे छोटे गुणनखंड के लिए घात नहीं, आधार संख्या देखें।

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