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My iPhone 5 keeps on shutting down whenever I use it unplugged and there were times where it keeps saying it has low power even though I charged it to 100%, so I charge it all over again. This occurs with or without a SIM card inserted. This annoyed me, and I went ahead to reset the iPhone to its factory settings. Still not working. Tell me, is it a hardware problem or software problem? And can you give me tips on how to fix it?