What does it mean when a girl says she doesn't give out her number?

Anonymous
Okay so after a little time talking to this girl a little bit (whom I see at this place I frequent on Saturday nights), mainly just asking her how her week was things like that. I finally decided to ask for her number and see if we can go out. When I actually asked for her number she states she doesn't give out her number. Now I have seen her approx. 2-3 times since then and just hi how are you doing and haven't gone past that.

First off what does it mean when a girl says she doesn't give out her number? Also I don't know if I should even try again?
What does it mean when a girl says she doesn't give out her number?
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