Question

The least number by which 72 should be divided to make it a perfect cube is​

Answer 1

Answer

Resolving 72 into prime factors, we get 72=2 x 2 x 2 x 3 x 3 Grouping the factors in triplets of equal factors, we get 72 = (2 x 2 x 2) x 3 x 3 Clearly, if we divide 72 by 3 x 3, the quotient would be 2 x 2 x 2, which is a perfect cube. Hence, the least number by which 72 be divided to make it, a perfect cube, is 9.