Question

Is 53240 a perfect cube if not then which smallest natural number should be divided and its will be a perfect cube?

Answer 1

53240 / 2 = 26620

26620 / 2 = 13310

13310 / 2 = 6655

6655 / 5 = 1331

1331 / 11 = 121

121 / 11 = 11

11 / 11 = 1

Only sets of 3 numbers is 2 and 11, and remainder is 5.

53240 = 5 * 22^2

Divide the number by 5 so that the quotient is a 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.