If N = 10800, find the(i) the number of divisors of the form 4m +2,(ii) the number of divisors which are multiple of 10(iii) the number of divisors which are multiple of 15.

Explanation

To solve the problem step by step, we will first find the prime factorization of \( N = 108000 \), and then we will address each part of the question.

### Step 1: Prime Factorization of 108000

1. **Divide by 2**:
- \( 108000 \div 2 = 54000 \)
- \( 54000 \div 2 = 27000 \)
- \( 27000 \div 2 = 13500 \)
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