Radiative energy loss rate of heavy quark traversing through thermal dense matter which is formed in heavy ion collisions has been studied under an assumption of valid factorized method, in which light quark radiative spectrum is used to multiply an dead-cone factor depending on quark mass and energy. The numerical calculated results with energies at RHIC and LHC show that the heavy quark radiation spectra, obtained by extending light quark energy spectrum, are approximately consistent with that calculated under pQCD frame by Djordjecvico-Guulassy. The calculation is simplified by using of fac...