I want a solution for this question:-
Is 53240 a perfect cube ? If not, then by which smallest number should it be divided so that the quotient is a perfect cube ?
Prime factorisation of 53240 is given by,
53240 = 2 × 2 × 2 × 5 × 11 × 11 × 11
Since prime factor '5' does not occur in a group of three, hence the given number is not a perfect cube.
To make it a perfect cube we have to divide the given number by 5.
53240 ÷ 5 = 10648 [perfect cube]