Question

find the smallest number by which 53240 should be divided so that the quotient is perfect cube.

Answer 1

Factors 53240

2 x 2 x 2 x 5 x 11 x 11 x 11

The smallest number 5 should be divided to get perfect cube

Answer 2

Step-by-step explanation:

Solution: 53240 = 2×2×2×11×11×11×5

The prime factor 5 does not appear in a group of three. So, 53240 is not a perfect cube. In the factorisation 5 appears only one time. If we divided the number by 5, then the prime factorisation of the quotient will not contain 5.

So,

53240÷5 = 2×2×2×11×11×11

Hence the smallest number by which 53240 should be divided to make it a perfect cube is 5.

The perfect cube in that case is=10648.