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Family name Aivar (Aivars , Айвар , Aivar ) , across the world, is a rare surname. The surname Aivar is characteristic of Latvia, where it is quite a rare surname, Kyrgyzstan, where it is a rare surname, and Estonia. Not in comparison with a country's population, this name is the most popular in Peru, Mexico, and India. More prevalently, Aivar is the forename as well as the last name.