Could be a plugged carb too. Pull the fuel line off the carb, crank the engine over and see if you get any fuel flow. Be sure you put the fuel line in a container to catch any fuel that gets pumped out. 
This is my guess too. I dont think an engine that is not getting fuel would backfire. Could be the ignition module as well. Although when my ignition module went bad the tractor was just dead and wouldnt start at all. Easiest thing to check is the fuel though so check that first and get back to us.You didn't exactly state it, but this backfiring occurs only when the machine is hot right? If yes, then I'd suspect the coil.
Both times when I had issues the engine was hot, or at least not cold. I will try again today.You didn't exactly state it, but this backfiring occurs only when the machine is hot right? If yes, then I'd suspect the coil.
Is that the part number for the fuel pump or the coil?If you replace it, Briggs part number 808656 will work.
Fuel pump, sorry.Is that the part number for the fuel pump or the coil?
I looked all over JDParts for an igniter on that motor/tractor combo and it doesn't list one. The coil is motor spec number dependent;sounds like the coil, or the igniter.
Yep, that's the part I replaced when my 265 died. I tested mine and it was way out of spec.I looked all over JDParts for an igniter on that motor/tractor combo and it doesn't list one. The coil is motor spec number dependent;
AM109258 for (FC540V-DS00, ES00, FS00, AS15)
AM121810 for (FC540V-GS00, HS00, JS00 , KS00, DS15, ES15, FS15)
Assuming you are talking about the ignition module (AM121810), the only thing I remember having to check is the gap between each arm and the flywheel. I don't have the number in front of me but I used a spark plug gap gauge to check mine. I would take off the ignition module (after checking the gap and recording it) and do the resistance check before buying a new one. They are not cheap ($90) and the test is free if you have a multimeter.Is replacing the coil a simple task? Is there any timing or calibration involved, or is it simply plug and play?