What is the least number by which 10125 should be divided so that the quotient is a perfect cube?
Given number is 10125
Prime factorization of 10125 is:
By grouping them in triplets, we have a triplet of 3 and a triplet of 5. One 3 left behind.
Clealy, 10125 must be divided by 3 in order to make it perfect cube.
Hence, 3 is the required number.