Bender is on the right path, test it on another circuit to isolate the issue. Unfortunately, breakers fail a lot more often than most folks imagine, or maybe it's anecdotal, since I have changed many for reasons like this. It seems obvious to most of us with a bit of common sense, but don't let anybody "cure" the problem by continually resetting the breaker, after it trips. Residential breakers are cheap, and generally pretty effective at their job, but they can only handle a limited number of overload events until they can fail. It might just fail safe, and just quit, or it might blow up in your hand, if it's damaged internally. Having experienced the latter, I can't recommend it. The other possibility is a weak connection at the cord/plug or a loose wire at the receptacle. Both issues will generate a lot of heat and draw excess current, causing a breaker trip. When it's operating, grab the plug and gently rock it back and forth. This may trip the breaker, or result in rather unsettling "crackling" noises. Check the prongs of the plug for scorching or burn marks. With the microwave turned off, unplug it. Does it feel normal, and take a firm grip to remove the plug, or is it loose and wobbly?