Question

Find the smallest number by which 704 should be divided
to get a perfect cube.

Answer 1

Answer:

11

Step-by-step explanation:

The prime number 11 does not appear in a group of three.

So 704 is not a perfect cube.

So , if we divide 704 by 11 , then the prime factorisation of the quotient will not contain 11.

i.e., 704 ÷ 11 = 2 x 2 x 2 x 2 x 2 x 2.

Hence the smallest number by which 704 should be divided to make it a perfect cube is 11. (

Answer 2

Answer:

First we factor the number 704, If we divide the number by 11 we get the perfect cube. Therefore, smallest natural number by which 704 must be divided to make a perfect cube