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 whether `68600` is a perfect cube and 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 performing the prime factorization of `68600`.

1. Divide by `2` (the smallest prime number):
- \( 68600 \div 2 = 34300 \)
2. Divide by `2` again:
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