Hello Carissa. Thanks for the tips. Still, I´m having the same problem and this has stopped me from using my work account.
I log in through Hotmail.com
I cleared cookies, managed my search engines through control panel options (erased everything but Google) , removed third party programs, rebooted, ran antivirus scans, useless.
What´s more upsetting, is the fact that my personal account does not behave like this (it´s Hotmail as well).
What I can tell you so far is that my personal account asked me today for a second address to send my security code, which I did.
My work account has not. The only way to access it without trouble is on my mobile (runs Android).

I desperately need help

Thanks!