Find the smallest number by which 8788 must be multiplied to obtain a perfect cube?

Given, a number as 8788. We need to find out a number which if multiplied by the given number we get a perfect cube.

Step 1: Resolve 8788 into prime factors

We get, 2 × 2 × 13 × 13 × 13

Step 2: Pair the factors obtained in the group of three

⇒ (2 × 2) × (13 × 13 × 13)

Step 3: multiply the number with the factor which is alone.

Here, 13 is in group of three and 2 is alone.

⇒ 8788 × 2 = 17576

Hence, 2 is the smallest number which is to be multiplied to the given number for perfect cube.