1) Hernan Cortes led a small Spanish force that used horses, guns, and disease to defeat the vast Aztec Empire in Mexico.
2) Francisco Pizarro similarly led a small group to conquer the Inca Empire in Peru through deception and kidnapping the emperor Atahualpa.
3) The conquests of the Aztec and Inca Empires by Cortes and Pizarro, respectively, allowed Spain to gain control over large territories in North and South America.