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Family name Irizarry (Irizarry , Irizarri ) , in the entire world, is a common surname. The cognomen Irizarry is characteristic of Latin America and the Caribbean, particularly Puerto Rico, where it is a common surname, Bolivia, where it is quite a common surname, and the Dominican Republic, where it is quite a rare surname. In absolute terms, the name is most common in the United States, Puerto Rico, and Bolivia.