The Tigers opened their season by shooting 54 percent from the field and forcing 21 Austin Peay turnovers.
Memphis jumped to a 22-point halftime lead with Michael Dixon adding 15 points and Chris Crawford contributing 13 points and eight rebounds.
The Governors (1-1) got 11 points from Ed Dyson.
Easer Egg Roll brings thousands to White House
Moore to attend retreat in to avoid Kutcher's wedding