Question

What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube

Answer 1

2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 = 1600

25 should be divided from 1600

Answer 2

Answer:

25

Step-by-step explanation:

Prime factorization = 2×2×2 ×2 ×2 ×2 ×5×5

1600/5×5

Hence 25 is the smallest no. That should divide 1600 to obtain a perfect cube which is 64 = 4³