Greene is a town in Chenango County, New York, United States. The population was 5,604 at the 2010 census. The town is named after General Nathanael Greene. It is located in the southwest corner of the county and contains a village, also named Greene. The town and village are northeast of Binghamton. Greene was founded in 1792, but commenced in 1798 (though this is hotly disputed).
According to the United States Census Bureau, the town has a total area of 75.6 square miles (195.9 km), of which 75.1 square miles (194.4 km) is land and 0.54 square miles (1.4 km), or 0.72%, is water. The Chenango River, a tributary of the Susquehanna River, flows southward through the town.
The west and south town lines form the border with Broome County.
New York State Route 206, an east-west highway, intersects New York State Route 12 in Greene village.
As of the census of 2000, there were 5,729 people, 2,275 households, and 1,540 families residing in the town. The population density was 76.2 people per square mile (29.4/km²). There were 2,550 housing units at an average density of 33.9 per square mile (13.1/km²). The racial makeup of the town was 98.53% White, 0.24% Black or African American, 0.28% Native American, 0.26% Asian, 0.02% Pacific Islander, 0.07% from other races, and 0.59% from two or more races. Hispanic or Latino of any race were 0.58% of the population.
There were 2,275 households out of which 32.7% had children under the age of 18 living with them, 53.8% were married couples living together, 9.4% had a female householder with no husband present, and 32.3% were non-families. 26.1% of all households were made up of individuals and 11.8% had someone living alone who was 65 years of age or older. The average household size was 2.51 and the average family size was 3.01.
In the town, the population was spread out with 26.5% under the age of 18, 6.9% from 18 to 24, 27.5% from 25 to 44, 25.6% from 45 to 64, and 13.5% who were 65 years of age or older. The median age was 39 years. For every 100 females, there were 96.8 males. For every 100 females age 18 and over, there were 94.4 males.
The median income for a household in the town was $38,333, and the median income for a family was $41,943. Males had a median income of $33,487 versus $22,881 for females. The per capita income for the town was $17,640. About 8.3% of families and 10.1% of the population were below the poverty line, including 14.8% of those under age 18 and 6.3% of those age 65 or over.