Here's a breakdown:
* "disco" comes from the Greek word "diskós", meaning "disc" or "record".
* "thèque" is a French suffix that indicates a "collection" or "library".
Therefore, "discothèque" literally means "record library". It was then adopted to describe the places where these records were played and danced to, leading to the modern meaning of "discotheque" as a nightclub or dance club.