Why can't I restore Ios on my Ipad?

I have an Ipad 1 that shut off one day (battery died) and when I went to recharge it, the apple logo appeared on screen for a few seconds, then disappeared. It continued to repeat this process all night long and failed to recharge at all. After looking tirelessly for answers online, I read that I would simply need to download the latest version of iTunes to my laptop (which also needed to have the most recent version of windows 10 installed). I would then need to start up itunes, connect my ipad to my pc, and once itunes recognized my device, restore ios. I tried this , and it failed giving me an error 1600 “this Ipad could not be restored”. I have switched cords, and tried every usb port on 2 different pcs. It seems to me that the Ipad is able to get into DFU mode but it only stays there for a short time before it dies again. Is anybody familiar with this problem? Any known solutions? Thank you in advance.