AMC8 2010

AMC8 2010 · Q14

AMC8 2010 · Q14. It mainly tests Primes & prime factorization.

What is the sum of the prime factors of 2010?

2010的质因数之和是多少？

(A) 67 67

(B) 75 75

(D) 201 201

(E) 210 210

Answer

Correct choice: (C)

正确答案：（C）

Solution

First, we must find the prime factorization of $2010$. $2010=2\cdot 3 \cdot 5 \cdot 67$. We add the factors up to get $\boxed{\textbf{(C)}\ 77}$

首先求2010的质因数分解。$2010=2\cdot 3 \cdot 5 \cdot 67$。将这些因数相加得$\boxed{\textbf{(C)}\ 77}$

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