Question

WHAT IS THE SMALLEST NUMBER BY WHICH 765625 BE DIVIDED TO MAKE IT A PERFECT CUBE? ALSO, FIND THE CUBE ROOT OF THE PERFECT CUBE OBTAINED​

Answer 1

Answer:Prime Factorisation of 69120 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5

To make 69120 a perfect cube, it shoulb be divided by 5.

69120 ÷ 5 = 13824

Prime Factorisation of 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3  

Cube root of 13824 = 2 × 2 × 2 × 3 =24