Under Minnesota law, if Prince died without a spouse (and we are not certain, at this time, that he was not married at the time of his death), then his estate would pass to his children. While we know that Prince had a son who died shortly after birth, we do not know, for sure, that Prince did not have any other children. But, assuming that Prince did not have any other children, then Prince’s estate would pass to his parent(s). If a parent is not living, then Prince’s estate would pass to his siblings (including half-siblings).
If, on the other hand, Prince died with a Will, then the terms of the Will would govern.