Question:
What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube?
Solution:
1600
1600 can be expressed as the product of prime factors in the following manner:.png)
$1600=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5$
Therefore, to make the quotient a perfect cube, we have to divide 1600 by:
$5 \times 5=25$