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Subjects
Class 10MathematicsReal NumbersPrime FactorisationHardLevel 8

If a number has prime factorisation (2^4\times3^2\times5^2\times7^2), how many prime factors does it have if repetition is counted?

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Answer and explanation

Correct answer: 10

Step 1: To count with repetition, add the exponents. Step 2: (4+2+2+2=10). Step 3: Keep the difference between distinct prime count and repeated prime count clear.

Tags

counting-prime-factorsprime-exponentshard

Frequently asked questions

What is the correct answer to this question?

10

Why is this the correct answer?

Step 1: To count with repetition, add the exponents. Step 2: (4+2+2+2=10). Step 3: Keep the difference between distinct prime count and repeated prime count clear.

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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