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Divisibility

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

| | | | 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.Proposition: Divisibility Laws

5.Lemma: Division with Quotient and Remainder (Euclid)

6.Proposition: Least Common Multiple

7.Proposition: Greatest Common Divisor

8.Proposition: Relationship Between the Greatest Common Divisor and the Least Common Multiple

9.Definition: Co-prime Numbers

10.Definition: Even and Odd Numbers


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