All answers about hash are great, BUT you still should use different passwords and not re-use them.
Some companies poorly handle their security and don’t hash the passwords properly (for example if a company sends your previous password by email when you ask for forgotten password, that’s a HUGE red flag). There are also other ways to obtain your password (e.g. phishing, finding it from hash by chance)…
TL;DR : it’s still better practice to not re-use passwords.
Latest Answers