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how many distinct prime factors does be have?

Question

How many distinct prime factors does Be have?

Solution

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David Veteran ยท Tutor for 11 years

Answer

2

Explanation

To answer this question, we begin by finding the prime factorization of 36. That gives us 2^2 * 3^2, therefore the number 36 have two distinct prime factors, namely 2 and 3. However, we note that these exist with multiplicity (2^2 and 3^2) yet still we count each prime factor only once. Therefore, the number of distinct prime factors of 36 is 2.