What is the smallest number by which 3087 must be divided so that the quotient is a perfect cube ?

Explanation

To find the smallest number by which 3087 must be divided so that the quotient is a perfect cube, we will follow these steps:

### Step 1: Factorize 3087
We start by finding the prime factorization of 3087.

- First, check divisibility by 3 (since the sum of the digits \(3 + 0 + 8 + 7 = 18\) is divisible by 3).
- Dividing 3087 by 3 gives us:
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