Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?

Explanation

To determine if 53240 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 53240
We will start by finding the prime factorization of 53240.

1. **Divide by 2** (the smallest prime number):
- 53240 ÷ 2 = 26620
- 26620 ÷ 2 = 13310
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