factor vs shoehorn

factor

noun
  • A resource used in the production of goods or services, a factor of production. 

  • A person or business organization that provides money for another's new business venture; one who finances another's business. 

  • One of the elements, circumstances, or influences which contribute to produce a result. 

  • Influence; a phenomenon that affects the nature, the magnitude, and/or the timing of a consequence. 

  • An agent or representative. 

  • A commission agent. 

  • A business organization that lends money on accounts receivable or buys and collects accounts receivable. 

  • A steward or bailiff of an estate. 

  • Any of various objects multiplied together to form some whole. 

verb
  • To sell a debt or debts to an agent (the factor) to collect. 

  • To find all the factors of (a number or other mathematical object) (the objects that divide it evenly). 

  • To be a product of other objects. 

shoehorn

noun
  • Anything by which a transaction is facilitated; a medium. 

  • A smooth tool that assists in putting the foot into a shoe, by sliding the heel in after the toe is in place. This reduces discomfort and damage to the back of the shoe. By slipping it into the back of the shoe behind the heel, the user prevents the heel from squashing down the back of the shoe and causing difficulty; instead the heel slides down the smooth shoehorn, which then comes out easily once the foot is in place. 

verb
  • To use a shoehorn. 

  • To force (something) into (a tight space); to squeeze (something) into (a schedule, etc); to exert great effort to insert or include (something); to include (something) despite potent reasons not to. 

  • To force some current event into alignment with some (usually unconnected) agenda, especially when it is fallacious. 

How often have the words factor and shoehorn occurred in a corpus of books? (source: Google Ngram Viewer )