iPad takes forever to reboot

My ipad has begun to intermittently reboot itself. It's running the latest IOS and has about 450MB free out of 64G. Anytime that I reset it after one of these events, it takes up to 5 minutes to 'reset.' I'll sit and stare at the Apple wondering if it's ever going to come back. A normal reset that I initiate is usually accomplished in about a minute. I'd like some input on what might be happening. My supposition is that IOS is trying to rebuild/rescue itself and the amount of memory available is causing this process to drag on forever. I haven't spent any time researching how IOS is working from a developers perspective so that's a WA

My next step will be to reset it to a factory install without all of the current apps on it to see if the problem continues to exhibit the same behavior.