Chapter 1, Problem 9SAP

To determine

To select: the number of distinct prime factors of 60 from the given options.

Answer to Problem 9SAP

C. 3

Explanation of Solution

Given information:

Distinct prime factors of 60

The given options are as follows:

1. 12
2. 4
3. 3
4. 2
5. 1

Calculation:

  $\begin{array}{l}\text{Prime factors of 60}=\text{2}\times \text{2}\times \text{3}\times \text{5}\\ \text{Distinct prime factor of 60}=\text{2,3,5}\end{array}$

Distinct prime factors are the numbers which do not repeat. Here, the number of distinct prime factors of 60 is 3. Thus, option C is correct.