Kansas State has won its first three games by a combined 179-16. The Wildcats opened with a 48-3 victory over Western Kentucky and defeated Lousiana-Monroe, 68-0, last week.
Kansas State figures to finally get tested next week when it hosts 16th-ranked Southern California, which routed No. 19 Colorado Saturday.
Jeff Schwinn and Marc Dunn combined to complete just six of 10 passes for the Wildcats, but three of them were touchdowns.
Danny Morris opened the scoring 2:33 into the contest when he returned a blocked punt three yards for a touchdown. The conversion pass made it 8-0
Eastern Illinois (0-3) closed to within 8-6 on Andre Raymond's 30-yard run, but Terence Newman returned the ensuing kickoff 95 yards.
Eastern Illinois scored again on Tony Romo's four-yard pass to Will Bumphus, but the Wildcats scored 28 unanswered points in the second quarter to open a 43-13 halftime lead.
Rashad Washington's 40-yard interception return extended the Wildcats' lead to 50-13 early in the third period.
Romo completed 23 of 35 passes for 169 yards but threw three interceptions. J.R. Taylor paced Eastern Illinois on the ground with 68 yards on 20 carries.
Darren Sproles led Kansas State with 84 yards on just nine carries.