Question

How many factors does a product of three distinct primes have?

• A. 6
• B. 8
• C. 3
• D. 2

Answer 1

The correct option is B

8

Let us consider a product of the primes 2, 3 and 5. i.e., $2\times 3\times 5=30$.
Factors of 30 are 1 , 2 , 3, 5 , 6 , 10 , 30 where the prime factors are 2, 3 and 5.

Hence there are 8 factors in total for a number that is the product of three distinct primes.