New Asus randomly shuts off, power button doesnt turn pc off

My brand new PC, maybe around 2 weeks old. PC just shuts off randomly like 1 week after.This has happened twice since I've bought it. First time it turn off the monitor and mouse and keyboard none were working at all (the keyboard lights were off), but the pc was still running. The fan turned super loud and I tried pressing the power button in and it wouldn't shut off. So I left it alone for a couple mins and still no change, had to take out the plug. Second time was a couple minutes ago, same thing, monitor off, keyboard off, mouse off, pc still on. But this time no loud fan noise, just the regular amount it makes. I would really enjoy some feedback on this... Could it be a dust issue? I mean its brand new so It shouldn't be a problem.. I think. Oh and both of the times I was playing a game, first League of Legends, second time Smite.

Operating System: Windows 8.1 64 bit
System Model: M11BB
Processor: AMD A10-6700 APU with Radeon Hd graphics (4 CPUs) ~3.7 GHz
RAM: 8 GB
Monitor: Dell E207WFP
Chip Type: AMD Radeon HD 8670D

Any help is appreciated.
 
Yep I just returned it, didn't wanna deal with the hassel. Thank you :) I dont know if I can put a solved thing or something so .-.
 
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