2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169981The arithmetic of the natural numbers can be extended to arithmetic operations on planar binary trees. This gives rise to a non-commutative arithmetic theory. In this exposition, we describe this arithmetree, first defined by Loday, and investigate prime trees.9 pages, 2 figures, 1 tableCombinatorics05C05, 03H15text