Claremont, VA -- U.S. town in Virginia Population (2000): 343 Housing Units (2000): 240 Land area (2000): 2.535667 sq. miles (6.567346 sq. km) Water area (2000): 0.000000 sq. miles (0.000000 sq. km) Total area (2000): 2.535667 sq. miles (6.567346 sq. km) FIPS code: 16880 Located within: Virginia (VA), FIPS 51 Location: 37.227291 N, 76.965458 W ZIP Codes (1990): Note: some ZIP codes may be omitted esp. for suburbs. Headwords: Claremont, VA Claremont