Fairfax is a city in Clark Township, Atchison County, Missouri, United States. The population was 638 at the 2010 census.HistoryFairfax was laid out in 1881. A post office has been in operation at Fairfax since 1881.GeographyFairfax is located at .According to the United States Census Bureau, the city has a total area of 0.48sqmi, of which 0.47sqmi is land and 0.01sqmi is water.Demographics2010 censusAs of the census of 2010, there were 638 people, 285 households, and 186 families residing in the city. The population density was 1357.4PD/sqmi. There were 343 housing units at an average density of 729.8/sqmi. The racial makeup of the city was 98.4% White, 0.6% African American, 0.3% Asian, and 0.6% from two or more races.There were 285 households of which 26.3% had children under the age of 18 living with them, 52.6% were married couples living together, 8.4% had a female householder with no husband present, 4.2% had a male householder with no wife present, and 34.7% were non-families. 30.9% of all households were made up of individuals and 19% had someone living alone who was 65 years of age or older. The average household size was 2.24 and the average family size was 2.72.The median age in the city was 46.8 years. 20.2% of residents were under the age of 18; 7.5% were between the ages of 18 and 24; 19.2% were from 25 to 44; 32.6% were from 45 to 64; and 20.4% were 65 years of age or older. The gender makeup of the city was 47.8% male and 52.2% female.