The historical records show that Pizarro had exactly 62 soldiers mounted on horses along with 106 foot soldiers, while Atahualpa commanded an army of about 80,000. More than 7,000 Incas were killed: not one White died.
The staggering military victory was based solely on Spanish technological superiority: the Amerinds had only stone, bronze and wooden clubs, maces and hand axes, slingshots and quilted material body armor against the Toledo steel swords, spears and chain armor. Even the guns the Spaniards had were not decisive: they were slow loading and difficult to fire: Pizarro had only a dozen of them. The Incas were simply unable to mortally wound any of the Spaniards with their weapons.
The odds which prevailed at the Battle of Cajamarca were to be repeated even more dramatically a further four times:
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at the Battle of Jauja, 80 Spaniards defeated an Inca army of tens of thousands;
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at the Battle of Vilcashuaman, 30 Spaniards defeated tens of thousands of Inca opponents;
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at the Battle of Vilaconoga, 10 Spaniards defeated an army of tens of thousands of Incas; and
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at the battle of Cuzco, 40 Spaniards defeated the last great Inca army, also consisting of tens of thousands of Inca warriors.