Question:
Find the smallest number by which 2560 must be multiplied so that the product is a perfect cube.
Solution:
2560
2560 can be expressed as the product of prime factors in the following manner:.png)
$2560=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5$
To make this a perfect square, we have to multiply it by $5 \times 5$.
Therefore, 2560 should be multiplied by 25 so that the product is a perfect cube.