AMC 8 2016 Problem 9

AMC8 2016 年第 9 题

整除与因数★★☆☆☆
What is the sum of the distinct prime integer divisors of 2016 ?
2016 的不同质因数之和是多少?
  1. A.9
  2. B.12
  3. C.16
  4. D.49
  5. E.63

正确答案 · Correct Answer

B

解析 · Solution

Solution 1

The prime factorization is 2016=25×32×72016=2^5×3^2×7. Since the problem is only asking us for the distinct prime factors, we have 2,3,7. Their desired sum is then 12.

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