Purdue led by 18 points, 40-22, at the break and extended the lead to 20 points, 44-24, early in the second half on a dunk from Zach Edey.
The Spartans battled and twice pulled to within 10 points, first on a driving layup from senior forward Malik Hall with 11:45 to play.
A jumper from senior guard Tyson Walker cut the lead to 55-45, but the Boilermakers scored six-straight points to make it 61-45 on free throws from Edey with 8:58 left.
