Question

5. Find whether 53240 is a perfect cube or not. If not, then find by which number 53240 be divided so that the result is a perfect cube.

Answer 1

53240=2*2*2*5*11*11*11
therefore it is not a perfect cube
5 should be divided from 53240 to make  it a perfect cube
53240/5=10648

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.