If \(k\) and \(m\) are integers and \(k = m(m+4)(m+5),\) \(k\) must be divisible by which of following(s)?

[Gmat_mission]

If \(k\) and \(m\) are integers and \(k = m(m+4)(m+5),\) \(k\) must be divisible by which of following(s)?

I. \(3\)
II. \(6\)
III. \(8\)

A. I
B. I and II
C. II and III
D. II
E. III

Answer: B

Source: GMAT Prep