Brown pulled down six rebounds while Brad Wanamaker chipped in with 12 points and five assists and Jermaine Dixon contributed 10 points for the Panthers (24-7, 13-5 Big East), who finished the season with a stellar 17-1 home record.
Pittsburgh will hold the No. 2 seed in the upcoming Big East tourney after downing Providence 73-71 this week to clinch a two-day bye.
The Panthers reeled off a 15-0 run early in the first half after spotting Rutgers a 5-3 lead. Dixon scored six points during the decisive run.
Mike Rosario led the Scarlet Knights (15-16, 5-13) with 14 points while Austin Johnson and Mike Coburn donated 12 and 10 points, respectively, in the loss.