Trenton is a city in Dade County, Georgia, United States. Founded in the s, the area was originally known as Salem. In Salem was designated the seat of the newly formed Dade County. It was renamed Trenton in The population was 2, at the census. The City of Trenton had a population of 2, as of July 1, Trenton ranks in the lower quartile for Diversity Index when compared to the other cities, towns. According to our research of Georgia and other state lists there were 37 registered sex offenders living in Trenton, Georgia as of February 11, The ratio of.