The Boilermakers (16-8, 5-5) were tied at 26 at halftime but matched that point total on a 26-2 run in the second half spanning more than eight minutes of play.
Teague scored 18 of his 20 points in the second half, including making four three-pointers for the Boilermakers, who improved to 13-1 at home.
"What we saw was a complete meltdown in the second half," said State coach Tom Izzo. "They just played well, and we just wore down."
What has been Michigan State's problem all year came to haunt them once again, as their 21 turnovers gave the Boilermakers several easy breakaway lay-ups and dunks. Purdue also out rebounded Michigan State 32-28, which is rare for the Spartans, who are one of the top rebounding teams in the conference.
The Spartans (17-8, 4-6) have now lost four straight games and have dropped to a tie for seventh place in the Big Ten.
The 38 points total, including only 12 points in the second half, was the lowest output for MSU this season and the fewest given up by the Boilermakers defensively.
The Spartans could not contain Landry inside all game. Landry showed his inside and outside game, but what really killed the Spartan was his ability to move down low, getting position and good looks underneath.
The Spartans now have a week off, coming none to soon for Izzo. "I think the guys are completely spent. It's a good time to have a week off."
MSU starts four-game home stand starting next week against hated-rival Michigan, who they are tied with for seventh place in the Big Ten.
If the Spartans have any hope of salvaging a bid to the NCAA tournament, GSN has their magic number at least three more wins and one more in the Big Ten Tournament.