Is 1188 a perfect cube? If not, by which smallest natural number should 1188 be divided so that the quotient is a perfect cube?

Explanation

To determine whether 1188 is a perfect cube and, if not, by which smallest natural number it should be divided to become a perfect cube, we can follow these steps:

### Step 1: Prime Factorization of 1188
We need to find the prime factors of 1188.

1. Divide 1188 by 2 (the smallest prime number):
\[
1188 \div 2 = 594
...