This workbook is a comprehensive guide to special types of numbers—prime, composite, square, and triangular. It combines clear explanations, step-by-step solved examples, and abundant practice exercises to help learners strengthen their understanding of number theory concepts.

Students will explore the building blocks of integers, test divisibility, construct prime tables, factorize numbers uniquely, and compute GCD and LCM using prime powers. The book also covers divisor functions, perfect numbers, patterns with primes, and fascinating relationships between square and triangular numbers.

Each chapter provides solved exercises for guided learning and practice problems for mastery. The final section brings all concepts together with engaging applications and puzzles.

Contents

1. Integer Building Blocks
   
2. Divisibility & Prime Tests I
   
3. Sieve of Eratosthenes & Prime Tables
   
4. Prime Factorization & Uniqueness
   
5. GCD–LCM via Prime Powers
   
6. Counting Divisors & Sum of Divisors
   
7. Square Numbers
   
8. Triangular Numbers
   
9. Relationships & Conversions
   
10. Problem Patterns with Primes & Composites
    
11. Problem Patterns with Squares & Triangulars
    
12. Applications & Puzzles