2016 AMC 8

Complete problem set with solutions and individual problem pages

Problem 9 Easy

What is the sum of the distinct prime integer divisors of 2016?

  • A.

    9

  • B.

    12

  • C.

    16

  • D.

    49

  • E.

    63

Answer:B

The prime factorization is 2016=2^5\times3^2\times7. Since the problem is only asking us for the distinct prime factors, we have 2,3,7. Their desired sum is then \boxed{\textbf{(B) }12}.

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