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2. Divisibility rule - Wikipedia

   en.wikipedia.org/wiki/Divisibility_rule

   We also have the rule that 10 x + y is divisible iff x + 4 y is divisible by 13. For example, to test the divisibility of 1761 by 13 we can reduce this to the divisibility of 461 by the first rule. Using the second rule, this reduces to the divisibility of 50, and doing that again yields 5. So, 1761 is not divisible by 13.

3. 1001 (number) - Wikipedia

   en.wikipedia.org/wiki/1001_(number)

   Two properties of 1001 are the basis of a divisibility test for 7, 11 and 13. The method is along the same lines as the divisibility rule for 11 using the property 10 ≡ -1 (mod 11). The two properties of 1001 are 1001 = 7 × 11 × 13 in prime factors 10 3 ≡ -1 (mod 1001) The method simultaneously tests for divisibility by any of the factors ...

4. File:Lattice of the divisibility of 60 narrow 1,2,3,4.svg

   en.wikipedia.org/wiki/File:Lattice_of_the...

   Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts

5. Divisor - Wikipedia

   en.wikipedia.org/wiki/Divisor

   For example, there are six divisors of 4; they are 1, 2, 4, −1, −2, and −4, but only the positive ones (1, 2, and 4) would usually be mentioned. 1 and −1 divide (are divisors of) every integer. Every integer (and its negation) is a divisor of itself. Integers divisible by 2 are called even, and integers not divisible by 2 are called odd.

6. Division lattice - Wikipedia

   en.wikipedia.org/wiki/Division_lattice

   The non-negative integers partially ordered by divisibility. The division lattice is an infinite complete bounded distributive lattice whose elements are the natural numbers ordered by divisibility. Its least element is 1, which divides all natural numbers, while its greatest element is 0, which is divisible by all natural numbers.

7. Divisibility (ring theory) - Wikipedia

   en.wikipedia.org/wiki/Divisibility_(ring_theory)

   Bourbaki, N. (1989) [1970], Algebra I, Chapters 1–3, Springer-Verlag, ISBN 9783540642435; This article incorporates material from the Citizendium article "Divisibility (ring theory)", which is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License but not under the GFDL