Factoring — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Factoring — a algebra 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.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
Filter by difficulty
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 10
2000 AMC 10 Problem 20 • 2002 AMC 10A Problem 10 • 2002 AMC 10B Problem 4 • 2002 AMC 10B Problem 6 • 2002 AMC 10B Problem 13 • 2003 AMC 10A Problem 5 • 2008 AMC 10A Problem 7 • 2012 AMC 10A Problem 17 • 2013 AMC 10A Problem 8 • 2013 AMC 10B Problem 5 • 2013 AMC 10B Problem 14 • 2014 AMC 10B Problem 17 • 2014 AMC 10B Problem 20 • 2015 AMC 10B Problem 14 • 2016 AMC 10A Problem 1 • 2016 AMC 10A Problem 9 • 2017 AMC 10A Problem 24 • 2020 AMC 10A Problem 21 • 2021 AMC 10A Spring Problem 22 • 2022 AMC 10B Problem 6 • 2022 AMC 10B Problem 17 • 2024 AMC 10A Problem 23 • 2024 AMC 10B Problem 7 • 2025 AMC 10B Problem 10
AMC 12
1950 AMC 12 Problem 13 • 1950 AMC 12 Problem 15 • 1951 AMC 12 Problem 15 • 1951 AMC 12 Problem 18 • 1952 AMC 12 Problem 3 • 1952 AMC 12 Problem 36 • 1953 AMC 12 Problem 3 • 1953 AMC 12 Problem 4 • 1953 AMC 12 Problem 8 • 1953 AMC 12 Problem 18 • 1953 AMC 12 Problem 21 • 1954 AMC 12 Problem 16 • 1954 AMC 12 Problem 20 • 1954 AMC 12 Problem 22 • 1954 AMC 12 Problem 32 • 1954 AMC 12 Problem 49 • 1955 AMC 12 Problem 8 • 1956 AMC 12 Problem 12 • 1956 AMC 12 Problem 15 • 1957 AMC 12 Problem 29 • 1958 AMC 12 Problem 20 • 1959 AMC 12 Problem 7 • 1959 AMC 12 Problem 16 • 1960 AMC 12 Problem 9 • 1961 AMC 12 Problem 13 • 1961 AMC 12 Problem 19 • 1961 AMC 12 Problem 22 • 1962 AMC 12 Problem 9 • 1962 AMC 12 Problem 29 • 1963 AMC 12 Problem 21 • 1963 AMC 12 Problem 30 • 1964 AMC 12 Problem 2 • 1964 AMC 12 Problem 8 • 1964 AMC 12 Problem 25 • 1964 AMC 12 Problem 32 • 1965 AMC 12 Problem 1 • 1965 AMC 12 Problem 10 • 1965 AMC 12 Problem 22 • 1966 AMC 12 Problem 5 • 1966 AMC 12 Problem 33 • 1968 AMC 12 Problem 5 • 1969 AMC 12 Problem 14 • 1969 AMC 12 Problem 19 • 1971 AMC 12 Problem 7 • 1971 AMC 12 Problem 8 • 1971 AMC 12 Problem 14 • 1971 AMC 12 Problem 22 • 1972 AMC 12 Problem 6 • 1972 AMC 12 Problem 29 • 1974 AMC 12 Problem 1 • 1975 AMC 12 Problem 12 • 1976 AMC 12 Problem 4 • 1976 AMC 12 Problem 20 • 1977 AMC 12 Problem 14 • 1977 AMC 12 Problem 21 • 1979 AMC 12 Problem 22 • 1979 AMC 12 Problem 25 • 1980 AMC 12 Problem 24 • 1987 AMC 12 Problem 15 • 1988 AMC 12 Problem 19 • 1989 AMC 12 Problem 8 • 1991 AMC 12 Problem 20 • 1993 AMC 12 Problem 19 • 1994 AMC 12 Problem 1 • 1998 AMC 12 Problem 5 • 1999 AMC 12 Problem 30 • 2000 AMC 12 Problem 6 • 2000 AMC 12 Problem 12 • 2002 AMC 12A Problem 1 • 2002 AMC 12B Problem 2 • 2002 AMC 12B Problem 3 • 2003 AMC 12B Problem 1 • 2004 AMC 12A Problem 6 • 2006 AMC 12A Problem 11 • 2007 AMC 12A Problem 14 • 2009 AMC 12B Problem 19 • 2010 AMC 12A Problem 21 • 2011 AMC 12B Problem 24 • 2013 AMC 12A Problem 4 • 2013 AMC 12A Problem 8 • 2015 AMC 12B Problem 12 • 2015 AMC 12B Problem 23 • 2016 AMC 12A Problem 1 • 2016 AMC 12A Problem 7 • 2016 AMC 12B Problem 15 • 2017 AMC 12A Problem 23 • 2018 AMC 12A Problem 5 • 2020 AMC 12A Problem 15 • 2020 AMC 12A Problem 19 • 2020 AMC 12B Problem 6 • 2021 AMC 12A Spring Problem 7 • 2021 AMC 12A Fall Problem 1 • 2022 AMC 12B Problem 3 • 2024 AMC 12A Problem 17 • 2024 AMC 12A Problem 23 • 2025 AMC 12A Problem 21
AIME
1983 AIME Problem 5 • 1985 AIME Problem 3 • 1987 AIME Problem 5 • 1987 AIME Problem 14 • 1989 AIME Problem 1 • 1991 AIME Problem 8 • 1992 AIME Problem 8 • 1993 AIME Problem 4 • 1995 AIME Problem 11 • 1996 AIME Problem 3 • 1996 AIME Problem 11 • 1997 AIME Problem 9 • 1998 AIME Problem 3 • 2000 AIME I Problem 2 • 2000 AIME I Problem 9 • 2000 AIME II Problem 13 • 2002 AIME II Problem 11 • 2003 AIME II Problem 1 • 2004 AIME I Problem 13 • 2007 AIME I Problem 8 • 2008 AIME I Problem 13 • 2010 AIME II Problem 6 • 2011 AIME I Problem 9 • 2011 AIME II Problem 9 • 2012 AIME II Problem 4 • 2013 AIME II Problem 3 • 2014 AIME I Problem 9 • 2014 AIME II Problem 12 • 2015 AIME II Problem 14 • 2018 AIME I Problem 5 • 2018 AIME II Problem 6 • 2019 AIME I Problem 12 • 2021 AIME I Problem 3 • 2021 AIME II Problem 6 • 2021 AIME II Problem 7 • 2023 AIME I Problem 15 • 2023 AIME II Problem 4 • 2024 AIME II Problem 11 • 2025 AIME I Problem 4 • 2025 AIME I Problem 12 • 2025 AIME II Problem 15