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Competition Mathematics Series

Competition Number Theory

Divisibility, Primes, and Competition Problem Solving

AMC 8 ReadyPrime FactorizationNumber PatternsModular Arithmetic
Grades 6–8 · Competition Ready · Print-Ready PDF
$24.99

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

Free Sample

A free sample for this title is coming soon.

Why This Book?

Infinite Variations

Every practice set uses our AI-powered generator — the same numbers never appear twice.

Complete Solutions

Every problem includes a step-by-step worked solution, not just the final answer.

Competition Aligned

Difficulty and style are calibrated to AMC 8 and MathCounts standards.

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Print Ready

Professionally typeset with LaTeX — sharp on any standard printer.