Question

What is the least number by which 30375 should be multiplied to get a perfect cube?

Answer 1

The prime factors of 30375 are

$=3\times 3\times 3\times 3\times 3\times 5\times 5\times 5=(3\times 3\times 3)\times (5\times 5\times 5)\times 3\times 3$

Here all 5's are forming the triplet, but 3' are not.

Clearly,30375 must be multiplied with 3 to make it a perfect cube