Questions :
The number of factors of 3600 is:
Options :
- 45
- 44
- 43
- 42
correct answer: a)
3600 → ÷2 → 1800
1800 → ÷2 → 900
900 → ÷2 → 450
450 → ÷2 → 225
225 → ÷3 → 75
75 → ÷3 → 25
25 → ÷5 → 5
5 → ÷5 → 1
∴ 3600 = 2⁴ × 3² × 5²
∴ Number of factors = (4+1)(2+1)(2+1) = 45