I do not show a listing for that model, is it very old? Also, the most common make of Kenmore dryers have model numbers that start with 110...
** I have heard that this could also be caused by a shorted heater element or on some models, a defective motor switch. How can I tell what is causing the problem? **
Test the individual components to see. The element should show NO continuity from either of its terminals to its metal housing. The heater terminals on the motor's centrifugal switch should be open when the motor is not running.
Your symptom could also be caused by a shorted 'start switch' on the console panel. It should show NO continuity when not pressed.