Question

What is the smallest number by which 1375 should be divided so that the quotient may be a perfect cube?

Answer 1

First we resolve 1375 into prime factors

1375 = 5 × 5 × 5 × 11
The factor 5 makes a triplet, and 11 is left out. So, clearly 1375 should be divided by 11 to make it a perfect cube.