We search for signatures of the extra neutral gauge boson Z', predicted in some extensions of the Standard Model (SM), from the analysis of some distributions for p+ p −→ µ+ + µ− + X, where the only exotic particle involved is Z'. In addition to the invariant mass and charge asymmetry distributions, we propose in our search to use the transverse momentum distribution pT to distiguish the models. We do our calculation for 14 TeV LHC center of mass energy, corresponding to 100 fb−1 of luminosity, in order to compare our findings from some models with the distributions following from the Standard Model.