Competition Mathematics Series
Number Theory: From Divisibility to Competition
Divisibility, Primes, and Competition Problem Solving
AMC 8 ReadyPrime FactorizationNumber PatternsModular Arithmetic
Grades 6–10
·Competition Ready
·
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About This Book
The essential number theory toolkit for AMC 8 and MathCounts. Covers divisibility rules, prime factorization, GCF/LCM, modular arithmetic, and Diophantine equations — all explained with clear worked examples and hundreds of competition-style practice problems.
Table of Contents
1
Divisibility and Factors
2
Prime Numbers and Factorization
3
Greatest Common Divisor and Least Common Multiple
4
Modular Arithmetic
5
Units Digits and Power Cycles
6
Factorials
7
Digit Properties
8
Number Bases
9
Sequences and Series
10
Consecutive Integers
11
Euler's Totient and Special Numbers
12
Chinese Remainder Theorem and Calendar Arithmetic
13
Diophantine Equations
14
Advanced Number Theory Topics
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Why This Book?
Infinite Variations
Every practice set uses our AI-powered generator — the same numbers never appear twice.
Answers and Worked Methods
Every problem has an answer, and a full step-by-step solution for its method — nothing is left as just a number.
Competition Aligned
Difficulty and style are calibrated to AMC 8 and MathCounts standards.
Print Ready
Professionally typeset with LaTeX — sharp on any standard printer.