2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215739We study few properties of square-free integers in certain equations. Using this property, we derive some infinite products in powers of square free numbers. Also, we present a method, to convert power series and trigonometric series to infinte products. Infinite products of few elementary trigonometric functions and factorials for large numbers are shown as examples.11 pages, comments are invitedGeneral Mathematics11A99;11N80; 40B05; 40A20text