Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?
Choices.
A) 1
B) 2
C) 3
D) 4
E) 5
Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N.
<result>A</result>
Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?