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High Quality Content by WIKIPEDIA articles! Trial division is the most laborious but easiest to understand of the integer factorization algorithms. Its ease of implementation makes it a viable integer factorization option for devices with little available memory, such as graphing calculators. Trial division tests to see if an integer n, the integer to be factored, can be divided by any integer greater than one but less than n. Given an integer n (throughout this article, n refers to "the integer to be factored"), trial division consists of testing whether n is divisible by any number. Clearly, it is only worthwhile to test candidate factors less than n, and in order from two upwards because an arbitrary n is more likely to be divisible by two than by three, and so on.