Pembroke is a town in Giles County, Virginia, United States. The population was 1,134 at the 2000 census. It is part of the Blacksburg Christiansburg Radford Metropolitan Statistical Area.There were 491 households out of which 27.1% had children under the age of 18 living with them, 49.1% were married couples living together, 11.4% had a female householder with no husband present, and 35.4% were non-families. 31.6% of all households were made up of individuals and 15.9% had someone living alone who was 65 years of age or older. The average household size was 2.31 and the average family size was 2.89.