Choose the correct answer for the following:

Which of the following numbers is a perfect cube?

A. 125

Prime factorization of 125:

⇒ 125 = 5 × 5 × 5 = 5³

∴ 125 is a perfect cube.

B. 36

Prime factorization:

⇒ 36 = 2 × 2 × 3 × 3

There are only two 2’s and two 3’s.

∴ 36 is not a perfect cube.

C. 75

Prime Factorization:

⇒ 75 = 5 × 5 × 3

There are only two 5’s and one 3.

∴ 75 is not a perfect cube.

D. 100

Prime Factorization:

⇒ 100 = 2 × 2 × 5 × 5

There are only two 2’s and two 5’s.

Hence, 100 is not a perfect cube.