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Surname Montez (Montez , Монтес ) , around the globe, is a common last name. The family name Montez is habitual in Portugal, where it is quite a common surname, Honduras, where it is quite a rare surname, and Botswana. Not in comparison with a country's population, this name is the most popular in the United States, Portugal, and Mexico. Much less frequently, Montez is the forename as well as the last name.