Abstract
In several previous issues of the MATHEMATICS MAGAZINE, we have disclissed the factorization of integers by the use of integral binary quadratic forms. In this paper, we analyze our previous work along with some of the modern advances in number theory in order that we may develop an elementary approach, not only for the factorization of integers, but also as an aid in the determination of primes. Before continuing, we introduce the following transformation: Let M= r1r2, where ri and r2 are any pair of integral factors of M, be an integer properly represented in form,
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