factorize \fac"tor*ize\, v. t. [imp. & p. p. Factorized
   (-?zd); p. pr. & vb. n. Factorizing (-?"z?ng).]
   1. (Law)
      (a) To give warning to; -- said of a person in whose hands
          the effects of another are attached, the warning being
          to the effect that he shall not pay the money or
          deliver the property of the defendant in his hands to
          him, but appear and answer the suit of the plaintiff.
      (b) To attach (the effects of a debtor) in the hands of a
          third person; to garnish. See Garnish. [Vt. & Conn.]
          [1913 Webster]

   2. (Math.) to resolve (a complex expression, such as a
      polynomial) into factors.

   Syn: factorise.
        [WordNet 1.5]