  The method of obtaining the set of noncanonical hypercomplex number systems
by conversion of infinite hypercomplex number system to finite hypercomplex
number system depending on multiplication rules and factorization method is
described. Systems obtained by this method starting from the 3rddimension are
noncanonical. The obtained systems of even dimension can be re-factorized. As a
result of it hypercomplex number system of two times less dimension are got.
