facilitator (n.)youdaoicibaDictYouDict[facilitator 词源字典]
1806, agent noun in Latin form from facilitate.[facilitator etymology, facilitator origin, 英语词源]
facilities (n.)youdaoicibaDictYouDict
"opportunities," 1809, plural of facility. Sense of "physical means of doing something" is from 1872.
facility (n.)youdaoicibaDictYouDict
early 15c., "gentleness, lightness," from Middle French facilité "easiness, ease," from Latin facilitatem (nominative facilitas) "easiness, ease, fluency, willingness," from facilis "easy" (see facile). First in a medical book:
If it be nede forto smyte [the head] wiþ a malle, be it done with esynez or facilite [transl. Guy de Chauliac's "Grande Chirurgie"]
Its sense in English expanded to "opportunity" (1510s), to "aptitude, ease, quality of being easily done" (1530s). Meaning "place for doing something" which makes the word so beloved of journalists and fuzzy writers, first recorded 1872, via notion of "physical means by which (something) can be easily done."
facing (n.)youdaoicibaDictYouDict
"defiance," 1520s, verbal noun from face (v.). Meaning "action of turning the face toward" is from 1540s; that of "covering in front of a garment" is from 1560s; that of "a coating" is from 1580s; that of "front or outer part of a wall, building, etc.," is from 1823. Earliest use is as "disfiguring, defacing" (c. 1400).
facing (adj.)youdaoicibaDictYouDict
1560s, "audacious," present participle adjective from face (v.). From 1849 as "that is opposite to."
facinorous (adj.)youdaoicibaDictYouDict
"extremely wicked," 1540s, from Latin facinorosus, from stem of facinus "a deed," especially a bad one, from facere "to do" (see factitious). "Very common in 17th c." [OED].
facsimile (n.)youdaoicibaDictYouDict
"exact copy," 1690s, two words, from Latin fac simile "make similar," from fac imperative of facere "to make" (see factitious) + simile, neuter of similis "like, similar" (see similar). One-word form predominated in 20c. As an adjective from 1877
fact (n.)youdaoicibaDictYouDict
1530s, "action, anything done," especially "evil deed," from Latin factum "an event, occurrence, deed, achievement," in Medieval Latin also "state, condition, circumstance," literally "thing done" (source also of Old French fait, Spanish hecho, Italian fatto), noun use of neuter of factus, past participle of facere "to do" (see factitious). Main modern sense of "thing known to be true" is from 1630s, from notion of "something that has actually occurred."

Compare feat, which is an earlier adoption of the same word via French. Facts "real state of things (as distinguished from a statement of belief)" is from 1630s. In fact "in reality" is from 1707. Facts of life "harsh realities" is from 1854; euphemistic sense of "human sexual functions" first recorded 1913. Alliterative pairing of facts and figures is from 1727.
Facts and Figures are the most stubborn Evidences; they neither yield to the most persuasive Eloquence, nor bend to the most imperious Authority. [Abel Boyer, "The Political State of Great Britain," 1727]
fact-finding (adj.)youdaoicibaDictYouDict
1909, from fact + present participle of find (v.). Related: Fact-finder.
faction (n.1)youdaoicibaDictYouDict
c. 1500, from Middle French faction (14c.) and directly from Latin factionem (nominative factio) "political party, class of persons," literally "a making or doing," noun of action from past participle stem of facere "to do" (see factitious). In ancient Rome, originally "one of the four teams of contenders for the chariot races in the circus," distinguished by the color of their dress. Later "oligarchy, usurping faction, party seeking by irregular means to bring about a change in government."
A spirit of faction, which is apt to mingle its poison in the deliberations of all bodies of men, will often hurry the persons of whom they are composed into improprieties and excesses for which they would blush in a private capacity. [Hamilton, "The Federalist," No. xv]
faction (n.2)youdaoicibaDictYouDict
"fictional narrative based on real characters or events, 1967, a blend of fact and fiction.
factional (adj.)youdaoicibaDictYouDict
1640s, from faction (n.1) + -al (1). Shakespeare used factionary (c. 1600).
factionalism (n.)youdaoicibaDictYouDict
1860, American English, from factional + -ism. Prominent up 1930s-1950s in communist jargon.
factious (adj.)youdaoicibaDictYouDict
"given to faction, turbulently partisan, dissentious," 1530s, from Middle French factieux and directly from Latin factiosus "partisan, seditious, inclined to form parties," from factionem "political party" (see faction (n.1)). Related: Factiously; factiousness.
factitious (adj.)youdaoicibaDictYouDict
1640s, "made by or resulting from art, artificial," from Latin facticius/factitius "artificial," from factus "elaborate, artistic," past participle adjective from facere "to make, do; perform; bring about; endure, suffer; behave; suit, be of service" (source of French faire, Spanish hacer), from PIE root *dhe- "to put, to set, to do" (cognates: Sanskrit dadhati "puts, places;" Avestan dadaiti "he puts;" Old Persian ada "he made;" Hittite dai- "to place;" Greek tithenai "to put, set, place;" Lithuanian deti "to put;" Polish dziać się "to be happening;" Russian delat' "to do;" Old High German tuon, German tun, Old Saxon, Old English don "to do;" Old Frisian dua, Old Swedish duon, Gothic gadeths "a doing;" Old Norse dalidun "they did"). Related: Factitiously; factitiousness.
factitive (adj.)youdaoicibaDictYouDict
"causative, expressive of making or causing," 1813, from Latin factus, past participle of facere "to make, do" (see factitious) + -ive.
factoid (n.)youdaoicibaDictYouDict
1973, "published statement taken to be a fact because of its appearance in print," from fact + -oid, first explained, if not coined, by Norman Mailer.
Factoids ... that is, facts which have no existence before appearing in a magazine or newspaper, creations which are not so much lies as a product to manipulate emotion in the Silent Majority. [Mailer, "Marilyn," 1973]
By 1988 it was being used in the sense of "small, isolated bit of true factual information."
factor (n.)youdaoicibaDictYouDict
early 15c., "commercial agent, deputy, one who buys or sells for another," from Middle French facteur "agent, representative" (Old French factor, faitor "doer, author, creator"), from Latin factor "doer, maker, performer," in Medieval Latin, "agent," agent noun from past participle stem of facere "to do" (see factitious). In commerce, especially "a commission merchant." Mathematical sense is from 1670s. Sense of "circumstance producing a result" is attested by 1816, from the mathematical sense.
factor (v.)youdaoicibaDictYouDict
1610s, "act as an agent, manage," from factor (n.). The use in mathematics is attested from 1837. Related: Factored; factoring.
factorial (n.)youdaoicibaDictYouDict
1816, in mathematics, from factor + -al (2). As an adjective from 1837 in mathematics; from 1881 as "pertaining to a factor."