Q: Number of even divisions of 504 is
(A) 12
(B) 24
(C) 6 3C2
(D) 18
Click to See Answer :
Ans: (C),(D)
Sol: 504 = 23 × 32 × 7.. Any even divisor of 504 is of the form 2i × 3i × 7k, where I ≤ i ≤ 3 , 0 ≤ j ≤2, 0 ≤ k ≤ 1.
Thus total number of even divisors is
3 × 3 × 2 = 18
Hence (C), (D) are the correct answer.