Positive integer factorization has raised concern particularly in the security of communication technology, based on the fact that positive integers can be employed in the safety of information in cryptography. This study, revealed an infinite square table which is instrumental in the analysis of all positive integer regarding their prime factors. Formula or instructions came up following the orderly arrangement of the positive integers. Moreover, a formula to test primality of a number become obvious in this study. In this regard, positive integers particularly can all potentially be factorized. While it is a solution in mathematics, this can pose threat in the safety communication technology. Nevertheless, this is on one side a solution in cryptography for the fact that a new page is opened to advance the safety of information. Had it been the case that this study did not reveal this fact, the information technology could be at risk. Therefore, the study is about knowledge to communication technology stakeholders to consider safety modification in information systems.