Number System · Question 30 · Hard
How many even divisors (factors) does 2520 have?
- 48
- 12
- 24
- 36
Answer and explanation
Answer: D. 36
Explanation: 2520 = 2^3 × 3^2 × 5 × 7 has (3+1)(2+1)(1+1)(1+1) = 48 divisors. Odd divisors come from 3^2 × 5 × 7: 3 × 2 × 2 = 12. Even divisors = 48 − 12 = 36.
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