Choose the correct answer for the following:

Which of the following numbers is not a perfect cube?

A. 1331

Prime Factorization:

⇒ 1331 = 11 × 11 × 11 = 11³

∴ 1331 is a perfect cube.

B. 512

Prime Factorization:

⇒ 512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 2³ × 2³ × 2³

= 8³

∴ 512 is a perfect cube.

C. 343

Prime Factorization:

⇒ 343 = 7 × 7 × 7 = 7³

∴ 343 is 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.