Dear Student
Electrolytic solutions have free ions in them that move freely in the solution and hence cause conductivity.
So, two factors on which this conductivity will depend on are:
1) The concentration of ions: As movement of ions is the reason of conductivity in electrolytes, the higher the concentration of ions, more will be its movement and hence more will be its concentration.
2) Temperature: As we all know that the solubility of an electrolyte increases as we increase the temperature, so a higher temperature corresponds to higher solubility of electrolyte or the higher no of ions free to move about to cause higher conductivity.
Regards