What is the sum of the distinct prime factors of 60? — GMAT

What is the sum of the distinct prime factors of $60$ ?

Answer: 10

The sum of the distinct prime factors of 60 is 10.

The prime factorization of

60

2^2 \times 3 \times 5

. The unique prime factors are

2

3

, and

5

. Adding these values together gives

2 + 3 + 5 = 10

Find the prime factorization of 60

60 = 2^2 \times 3^1 \times 5^1

Decompose 60 into prime factor powers.

List the distinct prime factors

The distinct prime factors are 2, 3, and 5

Focus only on the prime bases, ignoring exponents.

Sum the distinct prime factors

2 + 3 + 5 = 10

Add the unique prime numbers found in the factorization.

Prime Factorization and Distinct Prime Factors

Question