2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75230Using Kummer's Theorem, we give a necessary and sufficient condition for a Narayana number to be divisible by a given prime. We use this to derive certain properties of the Narayana triangle.5 pages, see related papers at http://www.math.msu.edu/~saganCombinatoricsNumber TheoryPrimary 11B50; Secondary 05A10, 11A07, 11B64text