2016 AMC 8 Problem 9
Attempt Problem 9 of the 2016 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2016 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
9.
What is the sum of the distinct prime integer divisors of
Answer: B
Small hint:
Factor into primes.
Big hint:
The word “distinct” means to count each prime divisor only once.
Video solution:
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Written solution:
We can prime factorize as This shows that the prime divisors of are and The sum of these is so B is the correct answer.
Problem 9 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
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- 1997 AMC 8
- 1998 AMC 8
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