Question

What smallest number can be multiplied to 1080 to make the product a perfect cube?

Answer 1

Answer:

25 is the smallest number that needs to be multiplied to 1080 to make it a perfect cube.

Step-by-step explanation:

The prime factorization of 1080=$2^{3}\times 3^{3}\times 5$

Here, the numbers $2$ and $3$ occur in triplets i.e., three times but the number $5$ appears only once.

So, to make $1080$ a perfect cube, $5 \times 5=25$ is the smallest number that needs to be multiplied.

Answer 2

25 should be multipy by 1080 to be a perfect cube