The choice of title for this article is prompted by the title of an interesting article, by Professor Matthews concerning a so-called scratch method for determining divisibility by the primes 7, 11, and 13.1 If the reader has not read that earlier article, he would probably find it interesting and helpful to do so, since some of the simple divisibility properties of integers discussed there will be used here without further explanation. The purpose of the present discussion is to present a modifi-cation of Professor Matthews's test which seems easier to apply and to show how the test can be extended to primes other than 7, 11, and 13.