Volume 3, 1997 1-5.
Apoorva Khare
Divisibility Tests

Abstract. In this paper, we give a new method to test the divisibility of any positive integer by another. First, we outline the usual test, in which one proceeds from right to left, i.e. the direction opposite the one taken while carrying out long division. After pointing out some of the problems with this method, we give another method, which forms the core of this paper. This latter method works along the same lines as the earlier one, but here one proceeds from left to right. Examples of some well known divisibility tests for special divisors are given along with some other observations. Finally, we generalize our divisibillity test to any integer base greater than 1.
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Furman University Electronic Journal of Undergraduate Mathematics