Ordered Quadratic Sequences: A solution to Integer Factorization

Integer factorization has raised concerns, particularly in the digitalization era, based on the fact that positive integers can be employed in the safety of information in cryptography. This study introduced an square table that is instrumental in the analysis of all positive integers concerning their prime factors. The systematic arrangement of triangular and nontriangular numbers in this table leads to formulas and instructions useful for factorization.