Question

Find the smallest number by which 192 must be divided to obtain a perfect cube.​

Answer 1

Prime factorization of 192

When 192 = (2²)³ × 3 is divided by 3, we get (2²)³ = 4³ = 64. ∴

3 is the answer

Answer 2

Answer:

3

Step-by-step explanation:

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

3 is the only number which is not paired. So we divide 192 by 3

192 ÷ 3 = 2 x 2 x 2 x 2 x 2 x 2, which is a perfect cube