  The Tsallis statistics was applied to describe the experimental data on the
transverse momentum distributions of hadrons. We considered the energy
dependence of the parameters of the Tsallis-factorized statistics, which is now
widely used for the description of the experimental transverse momentum
distributions of hadrons, and the Tsallis statistics for the charged pions
produced in $pp$ collisions at high energies. We found that the results of the
Tsallis-factorized statistics deviate from the results of the Tsallis
statistics only at low NA61/SHINE energies when the value of the entropic
parameter is close to unity. At higher energies, when the value of the entropic
parameter deviates essentially from unity, the Tsallis-factorized statistics
satisfactorily recovers the results of the Tsallis statistics.
