Mastering Number Theory for Competitions (AMC 10/12)

A learning and problem-solving course with problems and solutions to Master Number Theory for competitions and more!
Rating: 4.3 out of 5 (18 ratings)
712 students
English [Auto]
Number Theory
Modular Arithmetic
Competitive Math (AMC10/12/AIME)


  • Be comfortable with algebra and basic arithmetic


Prepare for and ace your AMC 8/10/12 tests for free! This course will teach you the fundamentals of all Number Theory problems seen on the AMC 10/12 tests and includes problems for you to solve, and quizzes for you to test your knowledge!

Topics Covered (in Problems)

  • Divisibility Rules

  • Modular Arithmetic

  • Exponents and Factors

  • Perfect Squares/Cubes

  • Fermat's Little Theorem

  • Chinese Remainder Theorem

  • Primes and Prime Factorization

  • GCD & LCM

  • The Euclidean Algorithm

  • Divisor Techniques

Websites/Contest Sites Used

  • AMC 8

  • AMC 10

  • AMC 12

  • AIME

  • Furman WMT

  • U.Maryland HSMC

This course will contain problems from these contests.

Content Overview

Suitable for all levels, this is an in-depth problem-solving course with lectures and solutions. It is preferred that you are familiar with Algebra and basic arithmetic, but this course can still be taken without knowledge of it. This course contains over 60 lectures including video solutions to commonly seen problems on the AMC's. We have also included multiply problems for each section as well as quizzes with 5-10 problems at the end of Each section for you to test yourself. In total there are 50+ problems from the 6 different contest listed above helping you to prepare and Ace the AMC's and other math competitions

You will learn problem-solving techniques, Modular Arithmetic, Number Theory, algorithms, computational skills, and more!

Who this course is for:

  • Competitive math students expecting to make AIME/USAJMO
  • Those who want to learn higher level number theory and modular arithmetic

Course content

5 sections • 63 lectures • 1h 47m total length
  • Introduction


Tech Organization
AlgoSTEM Courses
  • 4.4 Instructor Rating
  • 253 Reviews
  • 25,036 Students
  • 7 Courses

Hello everyone!

AlgoSTEM is a non-profit organization led by Arushi Gupta and Akshaj Gupta. Both have past experience in competitive programming and understand the fundamentals behind advanced algorithms and data structures.

AlgoSTEM also has a popular Youtube channel that covers solutions to coding problems including those from Leetcode, Codeforces, Codechef, and various math competitions.