(1):

(n.) A house or place where factors, or commercial agents, reside, to transact business for their employers.

(2):

(n.) A building, or collection of buildings, appropriated to the manufacture of goods; the place where workmen are employed in fabricating goods, wares, or utensils; a manufactory; as, a cotton factory.

(3):

(n.) The body of factors in any place; as, a chaplain to a British factory.