If \(k\) is an integer and \(\dfrac{33!}{22!}\) is divisible by \(6k,\) what is the maximum possible value of \(k?\)

[Gmat_mission]

If \(k\) is an integer and \(\dfrac{33!}{22!}\) is divisible by \(6k,\) what is the maximum possible value of \(k?\)

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

Answer: D

Source: Manhattan GMAT