Question

find the what is the smallest number by which 2916 should be divided so that the quotient is a perfect cube

Answer 1

hey

2916 = 3×3×3×3×3×3×2×2

= 2×2 = 4

4 must be divided to make the quotient perfect cube.....


hope ut helps u

Answer 2

Given :

Number 2916

To Find :

The smallest number by which 2916 should be divided so that quotient is a perfect cube.

Solution

we must find factors of the number 2916

Factors of 2916

3x 3 x 3x 3×3×3 x 2 × 2

2 × 2 = 4

Hence the smallest number is 4 by which 2916 should be divided so that quotient is a perfect cube