County Facts *2000 est. population For more information about each of Utah’s counties and a map of counties, visit History for Kids Beaver County Area: 2,586 sq. miles Population: 6,005 County Seat: Beaver Box Elder County Area: 5,614 sq. miles Population: 42,745 County Seat: Brigham City Cache County Area: 1,171 sq. miles Population: 91,391 County Seat: Logan Carbon County Area: …