If x and y are both odd prime numbers and x < y, how many distinct positive integer E factors does 2xy have? Pick one.
A) 3
B) 4
C) 6
D) 8
E) 12

Rationale: since 2 xy prime e factors are x ^ 1 * y ^ 1 * 2 ^ 1 , its total number or factors must be ( 1 + 1 ) ( 1 + 1 ) ( 1 + 1 ) = 2 ^ 3 = 8 . thus , i think d would be the correct answer .
Answer: D