Express the following numbers as a product of powers of prime factors:(i) 72           (ii) 432                     (iii) 1000                (iv) 16000

Explanation

To express the given numbers as a product of powers of prime factors, we will follow a systematic approach for each number.

### (i) Expressing 72 as a product of powers of prime factors:

1. **Find the prime factors of 72**:
- Start with 72. Divide by 2:
- \( 72 \div 2 = 36 \)
- Divide 36 by 2:
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