Multiplicative order — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses multiplicative order — 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 of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 10

2018 AMC 10B Problem 13

AMC 12

2016 AMC 12B Problem 22 · 2016 AMC 12B Problem 25 · 2022 AMC 12B Problem 15

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 exponentiationmultiplepalindromeparityperfect powerperfect squarepower of 2primeprime factorizationsum of factorstrailing zerostriangular numberunits digit