Eliezer (Hebrew: אֱלִיעֶזֶר, Modern Eli'ezer, Tiberian ʼĔlîʻézer, "Help/Court of El") was the name of at least three different individuals in the Bible.
Eliezer of Damascus (Hebrew: דַּמֶּשֶׂק אֱלִיעֶזֶר, Modern Damméseq Eliʿézer, Tiberian Damméśeq ʾĔlîʿézer) was, according to the Targums, the son of Nimrod. Eliezer was head of the patriarch Abraham's household, as mentioned in the Book of Genesis (15:2).
Other translations of Genesis describe Eliezer as Abraham's heir.
There is an interpretation in Bereshit Rabbah (43:2), cited by Rashi, that Eliezer went alone with Abraham to rescue Lot, with the reference to "his initiates" stated to be 318 in number (Lech-Lecha 14:14) being the numerical value of Eliezer's name in Hebrew, interpreted in tractate Nedarim (32a) as Abraham not wishing to rely on a miracle by taking only one individual. According to most interpretations, the unnamed "...slave, the elder of the household, who controlled all that was his" in Genesis (Chayei Sarah) 24:2 who acted as a marriage broker (shadchan; Hebrew: שַׁדְּכָן shadkhán) for Isaac was this Eliezer.