My Facebook account shows always online even if i logout?

[Rajesh]

Dear Suresh,
I think this is a common problem with many people who are accessing their Facebook account from more than one device, ie logging on from PC and a mobile device. Once you log off from Facebook in PC, your status should become offline. But this isn't the case here. It means you're logged in via another device, most likely through a mobile device. If you can find the mobile device then logout from both (all) devices. It will resolve the issue.
In case you don't have the mobile or forgotten where you have logged in, then simply change the password of your Facebook account after logging in from any PC (not from mobile device) . Then again logout. Wait for few hours and you be happy to find from your friends that you are now offline.
Wishing you a good day.