Source : Webster's Revised Unabridged Dictionary (1913)

Divisibility \Di*vis`i*bil"i*ty\, n. [Cf. F. divisibilit['e].]
   The quality of being divisible; the property of bodies by
   which their parts are capable of separation.

         Divisibility . . . is a primary attribute of matter.
                                                  --Sir W.
                                                  Hamilton.

Source : WordNet®

divisibility
     n : the quality of being divisible; the capacity to be divided
         into parts or divided among a number of persons