AMC 8 2010 Problem 14

AMC8 2010 年第 14 题

整除与因数★★★☆☆
What is the sum of the prime factors of 2010 ?
2010 的质因子之和是多少?
  1. A.67
  2. B.75
  3. C.77
  4. D.201
  5. E.210

正确答案 · Correct Answer

C

解析 · Solution

Solution 1

First, we must find the prime factorization of 2010. 2010=2⋅3⋅5⋅672010=2\cdot 3 \cdot 5 \cdot 67. We add the factors up to get 77

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