properties of mod

Are there any resources/tutorials on the properties of mod ?

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see this

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1 - http://en.wikipedia.org/wiki/Modulo_operation

2 - http://en.wikipedia.org/wiki/Modular_arithmetic

3 - http://mathworld.wolfram.com/Congruence.html

4 - https://brilliant.org/discussions/thread/modular-arithmetic-2/