24316 -- U.S. ZIP code Municipality (1990): BROADFORD, Virginia All ZIPs for this municipality (1990): 24316 Population (2000): 26 Housing Units (2000): 13 Land area (2000): 7.866846 sq. miles (20.375037 sq. km) Water area (2000): 0.000000 sq. miles (0.000000 sq. km) Total area (2000): 7.866846 sq. miles (20.375037 sq. km) Located within: Virginia (VA) Location: 36.937195 N, 81.676173 W