Question

By which smallest natural number should 53240 should be divided so that it becomes a perfect cube
3 mark question​

Answer 1

If we divided the number by 5, then the prime factorisation of the quotient will not contain 5. 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.

Answer 2

$\huge\bigstar\green\underline\blue{ANSWER}$

53240 = 2×2×2×11×11×11×5

So, 53240 is not a perfect cube. In the factorisation 5 appears only one time. So, we shpuld divide it by 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 now =10648.