Hernán Cortés landed on the Mexican coast in 1519 with roughly 500 soldiers, a force that stood no realistic chance of conquering the Aztec Empire — a sophisticated state of several million people, centered on the island capital of Tenochtitlan — through military force alone. Cortés's success depended critically on two other factors. First, the Aztec Empire ruled through a tribute system that had generated deep resentment among many subject and neighboring peoples, most importantly the Tlaxcalans, a rival state that Cortés allied with after an initial military encounter, providing him with tens of thousands of indigenous soldiers who did the great majority of the actual fighting in the subsequent campaign.
Second, and even more decisively, smallpox — a disease indigenous American populations had no prior exposure or immunity to — arrived with the Spanish and spread explosively through central Mexico beginning in 1520, killing an estimated 40% or more of Tenochtitlan's population within months, including the emperor Cuitláhuac, who had taken power after his predecessor Moctezuma II's death and who was leading effective resistance against the Spanish and their allies when he died of the disease. The epidemic devastated Aztec military capacity and social organization at precisely the moment the empire most needed both. Tenochtitlan finally fell to a prolonged siege in August 1521, a victory built on this combination of indigenous alliance, disease, and Spanish tactical innovation (including brigantines built to control the lake surrounding the city) rather than on any straightforward European military superiority.