SOLUTION: If p is a prime number greater than 3, which of the following is NOT a factor of 6p ? (A) p^2 (B) 6p (C) 3p (D) 2p (E) 3

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: If p is a prime number greater than 3, which of the following is NOT a factor of 6p ? (A) p^2 (B) 6p (C) 3p (D) 2p (E) 3      Log On


   

Question 252887: If p is a prime number greater than 3, which of the following is NOT a factor of 6p ?
(A) p^2 (B) 6p (C) 3p (D) 2p (E) 3
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
I believe the answer is p^2.

6*p / 6*p = 1

6*p / 3*p = 2

6*p / 2*p = 3

6*p / 3 = 2*p

6*p / p^2 = 6 / p which is not divisible by any prime number greater than 3.

6/1 = 6
6/2 = 3
6/3 = 2
6/5 = not an integer.
6/7 = not an integer.

answer has to be selection A.