Since a FAX number is a legitimate electronic address, it is correct
behaviour for Outlook's address book to show it.  If you don't want it
listed, you must either put it in a field other than the FAX field or you
should modify it so that it isn't regognizable as a FAX number, say by
putting an "F" on the front of the number.  Alternatively, you can buy a
tool like this:
http://www.sperrysoftware.com/Outlook/Hide-Fax-Numbers.asp

Outlook considers fax numbers to be valid electronic addresses, since there
are many client- and server-based components that can use such addresses.

One method to hide fax numbers from the address book is to prefix the fax
number with one or more letters (maybe B for business fax, H for home, O for
other). If the fax number begins with a letter, Outlook won't show it in the
address book.

There are a couple of utilities that can help you hide fax numbers from the
address book. See:
http://www.rsoutlook.com/us/rshifa.htm
http://www.sperrysoftware.com/Outlook_Solutions.htm (Hide Fax Numbers)
http://www.mapilab.com/outlook/toolbox/

Another way to avoid having fax numbers appear in the address book is
simply not to enter data in the fax fields. Put fax numbers in some other
(non-phone) fields.