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Brodnax is located at (36.703422, -78.031570).
According to the United States Census Bureau, the town has a total area of 0.7 square miles (1.8 km²), of which, 0.7 square miles (1.8 km²) of it is land and 1.41% is water.
As of the census of 2000, there were 317 people, 122 households, and 80 families residing in the town. The population density was 450.1 people per square mile (174.8/km²). There were 139 housing units at an average density of 197.4 per square mile (76.7/km²). The racial makeup of the town was 51.42% White and 48.58% African American. Hispanic or Latino of any race were 1.89% of the population.
There were 122 households out of which 27.9% had children under the age of 18 living with them, 47.5% were married couples living together, 16.4% had a female householder with no husband present, and 34.4% were non-families. 30.3% of all households were made up of individuals and 18.0% had someone living alone who was 65 years of age or older. The average household size was 2.60 and the average family size was 3.29.
In the town the population was spread out with 26.2% under the age of 18, 6.3% from 18 to 24, 27.8% from 25 to 44, 21.1% from 45 to 64, and 18.6% who were 65 years of age or older. The median age was 39 years. For every 100 females there were 86.5 males. For every 100 females age 18 and over, there were 82.8 males.
The median income for a household in the town was $24,706, and the median income for a family was $38,750. Males had a median income of $22,045 versus $19,250 for females. The per capita income for the town was $14,785. About 10.8% of families and 18.3% of the population were below the poverty line, including 30.5% of those under age 18 and 20.3% of those age 65 or over.