Stimulated by the recent attention given to the texture zeros found in the quark mass matrices sector of the standard model, an analytical method for identifying (or excluding) texture zeros models will be implemented here. Starting from arbitrary quark mass matrices and making a suitable weak basis transformation, we are be able to find an equivalent quark mass matrix. It is shown that the number of nonequivalent quark mass matrix representations is finite. We give exact numerical results for parallel and nonparallel four-texture zeros models. We find that some five-texture zeros Ansätze are in agreement with all present experimental data, and we confirm definitively that six-texture zeros of Hermitian quark mass matrices are not viable models anymore.