Question

What is the least number by which 10125 may be divided so that the quotient is a perfect cube?

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is B 3

Prime factorization of 10125 gives
$10125=5\times 5\times 5\times 3\times 3\times 3\times 3$
By grouping them in triplets, clealy, 10125 must be divided by 3 in order to make it perfect cube.