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Subjects
Class 10MathematicsReal NumbersPrime FactorisationMediumLevel 12

How many factors of (2^4 \times 3^3) will be odd?

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Answer and explanation

Correct answer: 4

Step 1: In an odd factor, the exponent of (2) must be (0). Step 2: The exponent of (3) can be (0,1,2,3), giving (4) odd factors. Step 3: While counting odd factors, remove (2) completely.

Tags

real-numbersodd-factorsprime-factorisation

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

Step 1: In an odd factor, the exponent of (2) must be (0). Step 2: The exponent of (3) can be (0,1,2,3), giving (4) odd factors. Step 3: While counting odd factors, remove (2) completely.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.

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