For security reasons or just a regular change of password, this will be done either through cPanel or the Webmail for your Basic Email hosting. The Office 365 website will be for your Email Exchange.
Learn how you can change your email password for Basic Email Hosting and Exchange Email respectively.
Basic Email Hosting
There are two ways on how you can change the password for your email address. If you’re using the Basic Email Hosting or the free email address you can get with your Web Hosting service, you may follow the instructions below on how to change your email password via cPanel or the Webmail.
Step 1. Log in to the cPanel using this link format: http://yourdomain.com/cpanel/
Replace yourdomain.com with the Main Domain Name connected to your hosting.
Step 2. Click Email Accounts under the Email panel.
Step 3. Locate the email address you’d like to change the password, and click Manage.
Step 4. Under Security, type in your new password on the New Password field.
You may click on Generate, or create your own. Make sure that the password is strong enough to be accepted by the system.
Step 5. Click Update Email Settings button.
Step 1. Log in to your Webmail.
Step 2. Click the drop-down button with your email address located on the top right.
Step 3. Click on Password & Security.
Step 4. Type in your new password twice under Password & Security.
There is no need to type your old password.
Step 5. Click Save.
Though you there is no need for you to type in your old password when changing to a new one, you still need it to log in to the Webmail.
There are also two ways to change your password with Exchange. Please see below.
via Office 365 Website
Step 1. Log in to Office 365 via https://www.office.com/
Step 2. Click the Gear icon on the top right, and click on Change your password.
Step 3. Type in the old password for verification, and the new password twice.
Step 4. Click Submit.
via Direct Link
Step 1. Log in to your email account via https://outlook.office.com/
Step 2. Click on your picture on the top right, and click on My Account.
Step 3. On the left, choose Security & Privacy, and click on Change Password.
Step 4. Type in the old password for verification, and the new password twice.
Step 5. Click Submit.
Once the password is changed, the devices you are using will ask for them too. Kindly re-enter the new password to keep using your emails.