Brown's free throws gave him 21 points for the game and the Hurricanes (29-6) moved on to the Sweet 16 for just the second time in the program's history.
Brown sank five 3-pointers and grabbed five rebounds while Shane Larkin had 17 points and seven assists for Miami, which goes on to face third-seeded Marquette at the East Regional semifinals in Washington.
Brandon Paul paced the seventh-seeded Fighting Illini (23-13) with 18 points and Nnanna Egwu added 12 points and 12 rebounds.
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