Let p be a prime number. If N = 8p, how many distinct even divisors does N have?  Answers
A) 1 B) 4 C) 5 D) 2 E) 3
The correct answer is D. There are two: 2 and 2p.   8p = 2*2*2p = (2*2)*2p. Since we care only about distinct divisors, we ignore the fact that 2 appears three times.
<result>D</result>
Let p be a prime number. If N = 8p, how many distinct even divisors does N have?