Is 392 a perfect cube? If not, find the smallest natural number by which 392 must be multiplied so that the product is a perfect cube.

Explanation

To determine whether 392 is a perfect cube and to find the smallest natural number by which it must be multiplied to become a perfect cube, we can follow these steps:

### Step 1: Prime Factorization of 392
We start by finding the prime factors of 392.

- Divide 392 by 2:
\[
392 \div 2 = 196
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