If x and y are both odd prime numbers and x < y, how many distinct positive integer T factors does 2xy have? Choose the correct choice from the following options: A) 3 B) 4 C) 6 D) 8 E) 12

Rationale: since 2 xy prime t 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