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Trailing zeros — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Trailing zeros — 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).

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.

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AMC 8

1991 AMC 8 Problem 13

AMC 10

2010 AMC 10A Problem 24 • 2015 AMC 10B Problem 23 • 2019 AMC 10A Problem 2

AMC 12

1965 AMC 12 Problem 33 • 1970 AMC 12 Problem 23 • 1977 AMC 12 Problem 25 • 2006 AMC 12B Problem 22 • 2010 AMC 12A Problem 23

AIME

1992 AIME Problem 15 • 2006 AIME I Problem 4

More number theory concepts

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