We study the representations of two types of pointed Hopf algebras: restricted two-parameter quantum groups, and the Drinfel'd doubles of rank one pointed Hopf algebras of nilpotent type. We study, in particular, under what conditions a simple module can be factored as the tensor product of a one-dimensional module with a module that is naturally a module for the quotient by central group-like elements. For restricted two-parameter quantum groups, given θ a primitive ℓth root of unity, the factorization of simple u θ y , θ z ( sl n ) -modules is possible, if and only if gcd ( ( y − z ) n , ℓ ) = 1 . For rank one pointed Hopf algebras, given the data D = ( G , χ , a ) , the factorization of simple D ( H D ) -modules is possible if and only if | χ ( a ) | is odd and | χ ( a ) | = | a | = | χ | . Under this condition, the tensor product of two simple D ( H D ) -modules is completely reducible, if and only if the sum of their dimensions is less than or equal to | χ ( a ) | + 1 .