Kmart has stores in operation in an unincorporated territory of the United States.
Kmart Corporation ( sometimes stylized as K-Mart ) is a chain of big box department stores headquartered in Hoffman Estates , Illinois , United States . It operates stores in 49 states , Puerto Rico , the U.S. Virgin Islands , and Guam ( which houses the world 's largest Kmart ) . Puerto Rico ( Spanish for `` Rich Port '' ) , officially the Commonwealth of Puerto Rico ( Estado Libre Asociado de Puerto Rico , `` Free Associated State of Puerto Rico '' ) and briefly called Porto Rico , is an unincorporated territory of the United States located in the northeast Caribbean Sea .