Question

Find the smallest number by which 320 must be multiplied to get a perfect cube

Answer 1

Answer:

8000

Step-by-step explanation:

When we perform prime factorization for 320, we get,

320=2× 2× 2× 2× 2× 2× 5

      → 320 is not a perfect cube as 5 cannot be grouped as a cube.

∴320 must be multiplied by 5× 5 to get a perfect cube.

=320× 5× 5

=320× 25

=8000

∴ The smallest number by which 320 must be multiplied to get a perfect cube is 8000