arithmetic
Factorial — AMC & AIME Problems
54 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Factorial — a arithmetic concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
LIVE focuses on challenge. As a social enterprise, we also explain standard school concepts one at a time, for free, on our sister site Expii. For this idea: What Is a Factorial?.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 8
AMC 10
- 2004 AMC 10B Problem 6
- 2005 AMC 10A Problem 15
- 2005 AMC 10B Problem 22
- 2006 AMC 10B Problem 11
- 2010 AMC 10A Problem 24
- 2013 AMC 10B Problem 20
- 2014 AMC 10A Problem 8
- 2015 AMC 10B Problem 23
- 2016 AMC 10A Problem 1
- 2018 AMC 10A Problem 3
- 2019 AMC 10A Problem 2
- 2019 AMC 10A Problem 9
- 2019 AMC 10A Problem 25
- 2019 AMC 10B Problem 6
- 2019 AMC 10B Problem 14
- 2022 AMC 10B Problem 9
- 2023 AMC 10B Problem 15
- 2024 AMC 10A Problem 5
- 2024 AMC 10B Problem 2
AMC 12
- 1961 AMC 12 Problem 35
- 1965 AMC 12 Problem 33
- 1968 AMC 12 Problem 21
- 1969 AMC 12 Problem 23
- 1970 AMC 12 Problem 23
- 1973 AMC 12 Problem 19
- 1977 AMC 12 Problem 25
- 1982 AMC 12 Problem 8
- 1999 AMC 12 Problem 25
- 2001 AMC 12 Problem 5
- 2009 AMC 12B Problem 12
- 2013 AMC 12A Problem 17
- 2013 AMC 12B Problem 9
- 2013 AMC 12B Problem 15
- 2016 AMC 12A Problem 1
- 2019 AMC 12B Problem 4
- 2020 AMC 12B Problem 6
- 2024 AMC 12A Problem 4
- 2024 AMC 12B Problem 2