Question

What is the smallest number, by which when 128 is divided, will make the quotient a perfect cube. Find the cube root of the quotient also.

Answer 1

Answer:

Prime factorization of 128, is: 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 23 × 23 × 2 Here, a number 2 is the smallest number by which 128 is divided to make it a perfect cube, i.e., 128 ÷ 2 = 64 which is a perfect cube. Thus, 2 is the required smallest numer.

Answer 2

Step-by-step explanation:

Prime factorization of 128, is: 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 23 × 23 × 2 Here, a number 2 is the smallest number by which 128 is divided to make it a perfect cube, i.e., 128 ÷ 2 = 64 which is a perfect cube. Thus, 2 is the required smallest number.