And seek ye the priesthood also? — The Targums of Onkelos and Jonathan understand the reference to be to the high priesthood. As the other Levites who belonged to Korah’s company sought the priesthood, so Korah may have aimed at the high priesthood.
Related Commentaries of Numbers 16:10
Numbers 16:10
10 And he hath brought thee near to him, and all thy brethren the sons of Levi with thee: and seek ye the priesthood also?