Question

Find the smallest number by which 8788 be divided so that the quotient is a perfect cube.​

Answer 1

Step-by-step explanation:

Prime factors of 8788 =2,2,13,13,13

Here we need to create groups of 3. We can group 13 into such a group, but not 2

Hence, we remove 2.

$8788 \div 2 \div 2 = 8788 \div 4 \\ = 2197 \\ \\ to \: \: verify \\ \\ \sqrt[3]{2197} = 13$

Hope it helps!