Divisibility

Divisibility

Numbers and Elementary Mathematics

Published in Dan Zwillinger, CRC Standard Mathematical Tables and Formulas, 2018

Divisibility The notation “a|b“ means that the number a evenly divides the number b. That is, the ratio ba $ \frac{b}{a} $ is an integer.

Number Theory

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Published in Paul L. Goethals, Natalie M. Scala, Daniel T. Bennett, Mathematics in Cyber Research, 2022

Dane Skabelund

One of the most fundamental notions in number theory is that of divisibility. Given integers m and n, we say that n divides m, written n∣m, if m=nk for some integer k. In this case, we call n a divisor of m and m a multiple of n. We list a few of the basic properties of divisibility: If a∣b and b∣c, then a∣c.If a∣b and a∣c, then a∣(b+c).a∣b if and only if ac∣bc.

Divisibility tests for polynomials

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Journal Information

Published in International Journal of Mathematical Education in Science and Technology, 2020

F. Laudano, A. Donatiello

A divisibility rule is a shorthand way of determining whether a given integer n is divisible by a fixed integer p without performing the division. It is surprising to discover that there exist very efficient but still little-known divisibility criteria.

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Numbers and Elementary Mathematics

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