Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube.

Explanation

To determine if 68600 is a perfect cube and, if not, to find the smallest number by which it must be multiplied to become a perfect cube, we can follow these steps:

### Step 1: Prime Factorization of 68600
We start by finding the prime factors of 68600.

1. Divide 68600 by 2:
- 68600 ÷ 2 = 34300
2. Divide 34300 by 2:
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