Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube.(i) 243                   (ii) 256            (iii) 72               (iv) 675(v) 100

Explanation

To find the smallest number by which each of the given numbers must be multiplied to obtain a perfect cube, we will perform the following steps for each number:

### (i) For 243:
1. **Prime Factorization**:
- 243 is divisible by 3.
- \( 243 \div 3 = 81 \)
- \( 81 \div 3 = 27 \)
- \( 27 \div 3 = 9 \)
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