Question

what is the smallest number that should be divided by 12096 to make it a perfect cube.
give me the full solution.

Answer 1

Use prime factorisation

and find the hcf 

the hcf  is ur cube 

Answer 2

first do prime factorisation of 12096
so, 12096 = 2*2*2*2*2*2*3*3*3*7
for making this a perfect cube
divide this by 7
so, 3√12096/7 =2*2*3*7/7
3√1728= 2*2*3

I hope this helps u.