Piloted ignition temperatures of solids are influenced by factors such as air movement, rate of heating, and the size and shape of the fuel load. These elements directly affect how heat is distributed and retained in the solid, impacting the temperature at which it will ignite. Air movement helps in the mixing of gases and can either cool the substance or supply more oxygen, affecting ignition. The rate of heating determines how quickly the temperature reaches the ignition point. Lastly, the size and shape of the fuel load influence the surface area exposed to heat, thereby affecting the ignition temperature.