Factor — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Factor — a number theory 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).

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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.

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AMC 8

1988 AMC 8 Problem 14 1990 AMC 8 Problem 22 1994 AMC 8 Problem 10 1995 AMC 8 Problem 12 1995 AMC 8 Problem 22 1996 AMC 8 Problem 1 2001 AMC 8 Problem 2 2006 AMC 8 Problem 10 2017 AMC 8 Problem 23 2022 AMC 8 Problem 3

More number theory concepts

Chicken McNugget TheoremChinese Remainder Theoremcontinued fractiondigitsDiophantine EquationdivisibilityEuler’s Totient Functionfactor countingFermat’s Little Theoremgreatest common divisorleast common multipleLegendre’s Formulamodular arithmeticmodular exponentiationmultiplemultiplicative orderpalindromeparityperfect powerperfect squarepower of 2primeprime factorizationquadratic residuesum of factorstrailing zerostriangular numberunits digit