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noun 
  1. A doer, maker; a person who does things for another person or organization
The of the trading post bought the furs.
  1. An integral part
The greatest in the decision was the need for public transportation.
The economy was a in this year's budget figures.
  1. (mathematics) Any of various objects multiply, multiplied together to form some whole
3 is a of 12, as are 2, 4 and 6.
The factors of the Klein four-group are both cyclic of order 2.
  1. (Root Cause Analysis) Influence; a phenomenon that affects the nature, the magnitude, and/or the timing of a consequence
The launch temperature was a of the Challenger disaster.
verb 
  1. (transitive) To find all the factors of (a number or other mathematical object) (the objects that divide it evenly).
  2. (context, of a number or other mathematical object, intransitive) To be a product of other objects.
Etymology: From Latin , doer or maker, from perfect passive participle factus, done or made, from verb facere, do or make

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