AMC8 2016
AMC8 2016 · Q9
AMC8 2016 · Q9. It mainly tests Primes & prime factorization.
What is the sum of the distinct prime integer divisors of 2016?
2016的互异素整数因数的和是多少？
(A)
9
9
(B)
12
12
(C)
16
16
(D)
49
49
(E)
63
63
Answer
Correct choice: (B)
正确答案：（B）
Solution
The prime factorization of 2016 is $2016=(2^5)(3^2)(7)$, so the distinct prime divisors of 2016 are $2,3,$ and $7$, and their sum is $2+3+7=12$.
2016 的素因数分解为：$2016=(2^5)(3^2)(7)$，因此 2016 的不同素因数是 $2,3,7$，它们的和为 $2+3+7=12$。
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