If u and v are positive integers, and 3 is not a factor of v, then v may be which of the following?  Pick one
A) (u−1)·u·(u+1)
B) (u−3)·(u−1)·(u+1)
C) (u−2)·u·(u+2)
D) (u−1)·u·(u+2)
E) (u−3)·(u+1)·(u+2)
Plugged in values :   let u=5   A. (u−1)·u·(u+1) --&gt; divisible by 3   B. (u−3)·(u−1)·(u+1) --&gt; divisible by 3   C. (u−2)·u·(u+2) --&gt; divisible by 3   D. (u−1)·u·(u+2) --&gt; not divisible. Hence the answer.
<result>D</result>
If u and v are positive integers, and 3 is not a factor of v, then v may be which of the following?