Question

What is the smallest number by which 1125 may be divided so that the quotient is a perfect cube?

• A. 9
• B. 15
• C. 25
• D. 3

Answer 1

The correct option is A

9

Writing 1125 as a product of prime factors, we have:

1125 = 3x3x5x5x5

The prime factor 3 does not appear in a group of three.

So, if we divide 1125 by 9, the quotient will become a perfect cube.