The article deals with the influence of a number of factors on the properties of ash-alkaline binders, the values obtained during testing of physical and mechanical parameters of ash-alkaline binders such as density, softening coefficient and strength are given. A complete factorial experiment was conducted to determine the optimal composition of the ash-alkali binder and determine the influence of the main factors on its strength. Based on the data of x-ray diffraction analysis, a conclusion is made about the phase composition of the artificially synthesized stone.