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If (N=2^2 \times 3^3 \times 5), how many distinct prime factors does (N) have?

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Answer and explanation

Correct answer: 3

Step 1: Distinct prime factors are counted by their prime bases. Step 2: The bases are (2,3,5), so there are (3) distinct prime factors. Step 3: Do not count exponents as separate factors.

Tags

real-numbersprime-factorisationdistinct-prime-factorsexpert

Frequently asked questions

What is the correct answer to this question?

3

Why is this the correct answer?

Step 1: Distinct prime factors are counted by their prime bases. Step 2: The bases are (2,3,5), so there are (3) distinct prime factors. Step 3: Do not count exponents as separate factors.

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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