The factorization method [1,2], suggested by E. Schroedinger for the soluti
on of second order differential equations, is applied to the finite differe
nce equations of hypergeometric type on the nonuniform lattice. It is shown
that the method of the solution of these equations, developed by Nikiforov
, Suslov, and Uvarov [4], is equivalent to the factorization method. The po
ssibility to apply a similar approach to the finite difference equation dep
ending on two discrete variables is discussed. as an example the particular
7-term finite difference equation is given which has the factorized soluti
on in a form of the product of the two Hahn polynomials.