Question

By what number should we divide 135 to get a perfect cube?

A. 3

B. 5

C. 7

D. 9

Answer 1

B. 5

Explanation:

A perfect cube is a number that can be obtained by raising an integer to the third power.

The prime factorization of 135 is:

`\sf 3 * 3 * 3 * 5`

To make it a perfect cube, we need to divide it by the prime number 5.

`\sf (135 )/( 5 )= 27 = 3 * 3 * 3`

So the answer is B. 5