Freshman Joe Rosga added a season-best 20 points for Denver (4-1).
Denver's first four baskets of the game were from 3-point range and the Pioneers finished with eight. It was Engesser's third game this season with at least five 3-pointers.
Engesser scored 15 of Denver's 41 first-half points as the Pioneers held an 11-point edge. Denver made 14 of its 21 field goals (67 percent), including 8 of 13 3-pointers, in the half.
Faruq-Bey finished with 18 points for Idaho State (2-2), and Ethan Telfair had 12 points and eight assists.