Prince scored 15 of his 27 points in the first half, dominating rookie Joey Graham and second-year player Matt Bonner, and the Pistons stayed unbeaten with a 117-84 victory.
"It was definitely my focus to go to the mismatches," said Chauncey Billups, who finished with nine assists. "We rode those the whole game. We wanted to get the ball to the guys that had the edge."
Pistons coach Flip Saunders said the emphasis on Prince only increased when Graham went out.
"When they went with Bonner, we wanted to get Tay the ball out on the floor," he said. "We wanted to be very aggressive."
Prince was 10-for-17 from the floor and made three 3-pointers in 34 minutes.
"It was just a situation where I got some easy baskets and some good looks," he said. "Our only game plan was to jump on them early and let the defense take over."
The Pistons (3-0) outrebounded the winless Raptors 57-35, including a 16-3 edge on the offensive glass.
"We didn't play with much energy," Chris Bosh said. "It's the same story again."
The Raptors have already played Eastern Conference contenders Washington and New Jersey and face Cleveland on Monday.
"I think our guys are just overwhelmed -- this is a brutal way to be introduced to the NBA," Raptors coach Sam Mitchell said. "But no one feels sorry for us, and we can't feel sorry for ourselves. We just have to remember these beatings and give them back someday."
Richard Hamilton added 18 points and Maurice Evans had 13 for Detroit. Hamilton was 8-for-15 from the floor and is shooting 60 percent for the season.
"We were looking for Rip and T.P. early," Saunders said. "We were able to pound them on the boards and get to the free-throw line."
Detroit dominated the first half, taking a 58-40 lead into intermission. Toronto outshot Detroit 49 percent to 48 percent in the half but had 18 fouls and nine turnovers, compared to the Pistons' eight and three.
The Pistons then put away the game with a 14-2 run early in the third, giving them a 72-45 lead. Prince had nine points in the surge.
"We just got beat," Mitchell said. "It's not going to get any easier, either."
Detroit led 89-62 at quarter's end, thanks to a buzzer-beating 3-pointer by Prince.
Aaron Williams left the game in the first quarter with a dislocated finger and did not return. ... Carlos Arroyo hit a jumper at the first-quarter buzzer to give the Pistons a 38-22 lead. Detroit had not scored more than 32 points in a quarter in its first two games. ... Rafael Araujo started for Toronto in place of Loren Woods but did not score in eight minutes. Woods also failed to score in his six-minute stint. ... The Pistons finished with seven players in double figures, and 11 players scored.