Question

find the smallest number by which 576 should be divided to get a perfect cube.

I need with step....​

Answer 1

Answer:

Hope it will help you..........

Answer 2

Step-by-step explanation:

First do the prime factorisation of 576

576 = 2*2*2*2*2*2*3*3

Since two occurs 6 times, which is a multiple of 3, it will yield a perfect cube. But here we have 3 only 2 times which is not a multiple of 3. So if we divide the number by 3*3 the resulting number will be a perfect cube.

So the least number to be divided is 9.