Summary: We introduce definitions such as ‘point insertion of factors property’ (PIFP), ‘insertion of factors property’ (IFP) and ‘nilpotent faithful fuzzy ideal’ (NFFI). We show that a fuzzy ideal \(f\) of \(R\) is PIFP iff it has IFP and if \(f\) is a completely fuzzy semiprime ideal of \(R\), then \(f\) has IFP. We prove that \(R\) is a 2-primal ring iff \(\text{FPR}(R)\) is NFFI. We also prove that \(R\) is a 2-primal ring iff \(\text{FPR}(R)\) has IFP.