Let M be a nonzero R–module, where R is a ring. A submodule U of M is called a fully invariant submodule if f(U) ⊆ U for every f ∈ S, where S = EndR(M). Moreover, M is called an ⊕–supplemented module if every submodule N of M there exists a submodule K of M such that K is a direct summand of M, M = N + K, and N + K, and N ∩ K is small in M. Furthermore, M is called a cms–module if for every cofinite submodule K of M, there exist submodules P and Q of M such that P is a supplement of K, P + Q = M, and P ∩Q is a small submodule in Q. In fact, factor module of a ⊕–supplemented module (respectively, cms–module) is not ⊕–supplemented (respectively, is not cms) in general. In this paper, we show that factor module of ⊕–supplemented module (respectively, cms –module) determined by fully invariant submodule is also ⊕–supplemented (respectively, cms). Moreover, we generate a fully invariant submodule by using radical of a module.