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The Arzt Algorithm and other Divisibility Tests for 7
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Arzt, Joshua; Gaze, Eric – Mathematics and Computer Education, 2004
Divisibility tests for digits other than 7 are well known and rely on the base 10 representation of numbers. For example, a natural number is divisible by 4 if the last 2 digits are divisible by 4 because 4 divides 10[sup k] for all k equal to or greater than 2. Divisibility tests for 7, while not nearly as well known, do exist and are also…
Descriptors: Number Concepts, Mathematics Education, Arithmetic, Number Systems
More on Generalized h-Base.
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Dence, Thomas P. – Mathematics and Computer Education, 1983
Representation of integers in various bases is explored, with a proof. (MNS)
Descriptors: College Mathematics, Higher Education, Integers, Mathematics
A Computer Note on Perfect Numbers.
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Travis, David L. – Mathematics and Computer Education, 1983
A student noticed an interesting fact about the base two numerals for perfect numbers. Mathematical explanations for some questions are given. (MNS)
Descriptors: College Mathematics, Computers, Higher Education, Mathematics