Question: Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5 Let's think first. Some random reasoning:
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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. The final answer: (A).
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