I have a ET1331G Emachine

Cycloid Torus

Stone age computing - click on the rock below..
I have to push the 6 or 7 times before it stays on, what's the problem?
"push the power button 6 or 7 times before system stays on" ??? - power buttons wear out - remove at connection to motherboard - check for proper easy start using paperclip - order replacement (clones available at ebay, amazon, newegg - a few bucks)

If not power button, could be PSU or even something else... helpful troubleshooting steps at https://www.lifewire.com/fix-a-computer-that-shows-no-sign-of-power-2624442