I have a williams heater 3508732 and the pilot keeps shutting off

SOURCE: Unable To Keep Pilot Light Lit!

Clean or change out the pilot assembly. Check for a lose connection of the flame rod at both the pilot assembly as well as the gas valve.

SOURCE: Heater will not turn on

If these are newer units 5 years or newer, there may be a thermal safety device up near the top. Follow the wires to find it. if you have this, bypass it by connecting the two wires going to it to each other and not the little disc. If this does not get the burner to ignite, then the next culprit or you do not have one then next is the pilot generator. This is the round cylinder next to the pilot flame. It and has 2 wires connecting to the gas valve. Remove it from the pilot assembly, it usually is just a clip, unscrew the 2 wires and pick up a new one. The connection on the gas valve has these wires labeled as TP for thermopile (dont ask, I don't know) replace in reverse as removed.

SOURCE: Williams wall furnace, top vent.

if your old furnace is faulty replace the unit for safety and efficiency. it will pay for itself in energy.

SOURCE: My glo-warm propane heater keeps shutting off automatically-pilot and all.

Clean the pilot and if that does not help replace the thermocouple. Also make sure you have correct ventilation to the room as that can also cause this type of heater to shut down.

SOURCE: Re Williams 3003622 Heater Please advise how to

You will first need to turn the control knob to pilot. Then depress the control knob button and hold it. Then press the push button piezo igniter several times until pilot lights or open pilot inspection cover and manually light pilot with match/lighter. You may need to hold the control knob for at least a minute. Then release the control knob and if the pilot stays lit then turn the control knob to on. If it does not light then repeat the process again.