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Number Theory

Explore the powers of divisibility, modular arithmetic, and infinity.

75 Lessons

Level 1

Level 2

Level 3

Level 4

Level 5

Level 6

Level 7

Level 8

Level 9

Level 10

Level 11

Last Digits


Course description

This course starts at the very beginning — covering all of the essential tools and concepts in number theory, and then applying them to computational art, cryptography (code-breaking), challenging logic puzzles, understanding infinity, and more!


Topics covered

  • Divisibility Shortcuts
  • Exploring Infinity
  • Factor Trees
  • Fermat's Little Theorem
  • Greatest Common Divisor
  • Least Common Multiple
  • Modular Arithmetic
  • Modular Congruence
  • Modular Inverses
  • Prime Factorization
  • The 100 Doors Puzzle
  • Totients

Prerequisites and next steps

A basic understanding of exponents and multiplication is all you need!


Prerequisites

  • Mathematical Thinking

Next steps