Question

What is the smallest number by which 3087 must be divided so that the quotient is a perfect cube?

Answer 1

Factorization of 3087=3×3×7×7×7

So here only 3 is not in cube.

Hence 3 is the only number to be multiplied to form a perfect cube number

So we must divide 3087 by 3×3 that is 9 in order to make it perfect cube.

3087÷9=343 perfect cube number

Answer 2

Answer:

3 is the smallest number by which 3087 must be divided so that the quotient is a perfect cube.

Step-by-step explanation:

Given a number 3087

we have to find the smallest number by which 3087 must be divided so that the quotient is a perfect cube.

The prime factors of 3087 are

$3087=3\times 3\times 7\times 7\times 7$

To find the cube root we need to write a number for a pair of 3

Since the number 3 has not triplet,

Therefore we need to multiply 3087 by 3 to make it a perfect cube.