2010 AMC 8 Problem 14
Attempt Problem 14 of the 2010 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2010 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
What is the sum of the prime factors of
Answer: C
Small hint:
After removing , , and , the remaining factor is prime.
Big hint:
Factor using divisibility by and by .
Solution:
First, the primes are factors of since it is a multiple of Dividing by is Then, is a factor of since the digit sum of is a multiple of Dividing this by yields the prime number This means the prime factors are which makes their sum
Thus, the correct answer is C .
Problem 14 in other years
- 1985 AMC 8
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