All of the divisibility tricks we learned about during the September meeting are based on modular arithmetic. Here are some excellent resources to help you learn more:
http://www.artofproblemsolving.com/Wiki/index.php/Modular_arithmetic
and for some uses in higher mathematics and computer science:
http://www.artofproblemsolving.com/Wiki/index.php/Fermat’s_Little_Theorem
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