do justice vs prize

do justice is not a noun while prize is a noun.

Word	Noun	Adjective	Verb	Adverb
do justice	No	No	Yes	No
prize	Yes	Yes	Yes	No

As verbs, prize is a hypernym of do justice; that is, prize is a word with a broader meaning than do justice:

Other hypernyms of do justice include appreciate, treasure, value.

do justice (noun)	prize (noun)
	something given as a token of victory
	something given for victory or superiority in a contest or competition or for winning a lottery
	goods or money obtained illegally

do justice (adjective)	prize (adjective)
	of superior grade

do justice (verb)	prize (verb)
show due and full appreciation	regard highly; think much of
bring out fully or to advantage	to move or force, especially in an effort to get something open
	hold dear