each vs for each one

each is an adjective but for each one is not an adjective.

Word	Noun	Adjective	Verb	Adverb
each	No	Yes	No	Yes
for each one	No	No	No	Yes

As adverbs, each and for each one are synonyms defined as:

each and for each one: to or from every one of two or more (considered individually)

Other synonyms of each include apiece, from each one, to each one.

each (adjective)	for each one (adjective)
(used of count nouns) every one considered individually; quantifier, singular, universal pronoun; quantifier, singular, universal

each (adverb)	for each one (adverb)
to or from every one of two or more (considered individually)	to or from every one of two or more (considered individually)