Claim: The Budapest University of Technology and Economics, founded in 1782, is the world's oldest Institute of Technology that operates with a university structure.
Evidence: It was founded in 1782. The Budapest University of Technology and Economics (Hungarian: Budapesti Műszaki és Gazdaságtudományi Egyetem or in short Műegyetem), official abbreviation BME, is the most significant University of Technology in Hungary and is considered the world's oldest Institute of Technology which has university rank and structure. 
1782; 238 years ago (1782) The Budapest University of Technology and Economics (Hungarian: Budapesti Műszaki és Gazdaságtudományi Egyetem or in short Műegyetem), official abbreviation BME, is the most significant University of Technology in Hungary and is considered the world's oldest Institute of Technology which has university rank and structure.