"if & Else" Statement Not Working?

I was trying to make a javascript code that password-protects a web page without showing the actual password in the code. so I came up with this:

var p1=prompt("Password number 1");
var p2=prompt("Password number 2");
var p3=(p1*p2);

[Code]....

The idea is that you come up with two large prime numbers (the passwords), -in this case I used 18313 and 22307- that aren't shown in the script. Once the user imputes the numbers, they are then multiplied, and the product (in this case, 408508091) is then used to gain access. So if someone else wants access but doesn't have the passwords but has access to the code, they'll need to deduce the two prime numbers from the one larger number. It won't stop them completely but it should hold them off. (I know there are easier way's to password protect a web page so you don't need to remind me)

OK, now that I'm done blabbering here's the problem, the else statement isn't working. no matter what I do it always grants access no matter if the passwords are correct or not.