When my husband goes into facebook, sometimes he will look at requests, and our antivirus pops up. We have?

[Ctrl+Z]

Facebook is very safe. But the ads that link you away from facebook can potentially be unsafe. And the applications that you ad to your facebook page are made by facebook users, not facebook, so they can also be unsafe.

If he avoids clicking on the ads and doesn't install too many of the aps you might get less popups. Having said that you are pretty safe anyway with facebook, and even safer with kaspersky.

If you haven't already perhaps install mozilla firefox and use that instead of internet explorer. That will also help your security interests.