Let p be a prime number greater than 2, and let N = 32p. How many odd divisors does N have?	Choose one.
A) 1
B) 2
C) 3
D) 4
E) 5

Rationale: the answer is a , there is exactly one . since is the largest ( and only ) even prime number , any p larger than 2 is odd . then since 32 = 2 * 2 * 2 * 2 , all of which are even , this means that p must be the only odd prime factor .
Answer: A