Divisibility is one of the most important properties of integers which is fundamental to number theory. We start with some basic definitions.

- Definition: Divisor, Complementary Divisor, Multiple
- Proposition: Sign of Divisors of Integers
- Proposition: Finite Number of Divisors
- Definition: Divisor-Closed Sets
- Proposition: Divisibility Laws
- Definition: Sets of Integers Co-Prime To a Given Integer
- Definition: Even and Odd Numbers
- Lemma: Division with Quotient and Remainder
- Proposition: Least Common Multiple
- Proposition: Greatest Common Divisor
- Proposition: Relationship Between the Greatest Common Divisor and the Least Common Multiple
- Definition: Co-prime Numbers
- Proposition: Greatest Common Divisor of More Than Two Numbers
- Proposition: Least Common Multiple of More Than Two Numbers

Chapters: 1

Examples: 2

Explanations: 3