Multiply 210125 by the smallest number so that the product is a perfect cube. Also find out the cube root of the product.

Explanation

To solve the problem of multiplying 210125 by the smallest number so that the product is a perfect cube, we will follow these steps:

### Step 1: Prime Factorization of 210125
First, we need to find the prime factorization of 210125.

1. **Divide by 5** (since the last digit is 5):
- 210125 ÷ 5 = 42025
2. **Divide by 5 again**:
...