Your inbox is full
If your inbox is full, you won't be able to send or receive new messages. To make room in your inbox, try emptying your junk folder by right-clicking Junk Email and then selecting Empty folder.
You can also use Sweep to remove unwanted email from your inbox or archive folders. Sweep lets you automatically delete all incoming email from a particular sender, keep only the latest message from that sender, or delete email from that sender that's older than 10 days. Select a message you want to sweep, and select Sweep.
Saving photos and documents to OneDrive is another good way to make room in your inbox. To learn how to save attachments to OneDrive.
Increase your message sending limits
You can increase your sending limits by adding security info to your account. Go to your Microsoft account security page, select Update info, and add the following security info to your account:
Phone number:
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Select Add security info.
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In the dialog box, enter your phone number.
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Select Next and follow the on-screen instructions.
Alternate email address:
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Select Add security info.
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In the dialog box, select the arrow next to A phone number, and select An alternate email address.
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Enter an alternate email address.
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Select Next and follow the on-screen instructions.
Two-step verification:
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Select Set up two-step verification.
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Enter your password, and select Sign in.
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Select Next and follow the on-screen instructions.