Brown held a one-point lead at the half but pulled away in the second, finishing at 56-percent shooting from the field and 82.6 percent (19 of 23) from the line. The Panthers were just 10 of 21 on free throws.
Tre Hagood finished with 23 points for Prairie View (0-7), John Brisco added 16, and Reggis Onwukamuche chipped in 12. Hagood had four steals as the Panthers combined for 16, compared to three steals for Brown.
The Bears snapped a five-game losing streak with the win.