Rangers lift trophy despite state of Hampden pitch
An early own goal from Ally Gilchrist and a thunderous strike from James Tavernier put the Championship winners into an unassailable lead.
Andy Halliday added a penalty and Kenny Miller tapped home to make sure Rangers took the trophy at the fourth attempt.
Celtic are the next opponents for Mark Warburton's side in next Sunday's Scottish Cup semi-final.
Rangers had toiled in the Challenge Cup in the tournament's various guises, losing previously to Queen of the South, Raith Rovers and Alloa Athletic. They have finally won it and now move on to play the Premiership leaders back at the national stadium.
The game was played on an atrocious surface which was laid barely five weeks ago, at a cost of £200,000 but it's about to be dug up again having failed to bed in. There will be a new surface by the time Celtic meet rangers next week.