Using USB stick connected to router for Time Machine backups
I recently got a new MacBook Air and I am wishing to backup the laptop using Time Machine. I have plugged in the USB stick into the router and the laptop is able to see, read and write to the USB stick. However I am unable to use it as a place for Time Machine backups. It simply doesn't show up as a suitable network device.
So is it possible to do this?
If it is possible, would you tell me how to accomplish it? I am completely fine with reformatting/erasing the USB stick.
If it is not possible to do this, is there any other way to automatically backup my laptop to an external drive without me having to plug an external drive into my laptop and do it manually?
Thanks :)
[Re-Titled by Moderator]
MacBook Air 13″, macOS 15.2