Divisibility is one of the most important properties of integers which is fundamental to number theory. We start with some basic definitions.
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| created: 2014-02-20 21:37:44 | modified: 2019-03-09 17:21:54 | by: bookofproofs
1.Definition: Divisor, Complementary Divisor, Multiple
2.Proposition: Sign of Divisors of Integers
3.Proposition: Finite Number of Divisors
4.Definition: Divisor-Closed Sets
5.Proposition: Divisibility Laws
6.Definition: Sets of Integers Co-Prime To a Given Integer
7.Definition: Even and Odd Numbers
8.Lemma: Division with Quotient and Remainder (Euclid)
9.Proposition: Least Common Multiple
10.Proposition: Greatest Common Divisor
11.Proposition: Relationship Between the Greatest Common Divisor and the Least Common Multiple
12.Definition: Co-prime Numbers
13.Proposition: Greatest Common Divisor of More Than Two Numbers
14.Proposition: Least Common Multiple of More Than Two Numbers
