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A much easier method to use when presented with a problem like this is to use the following rule: For each unique prime factor, take the exponent (i.e number of occurances) and add 1. Then multiply these numbers together to determine the number of unique factors. For example,
I would recommend to use formula for this problem. 1. Factor 441 into prime factors. You will get 3*3, and 7*7 2. We have 3^2 * 7^2 3. So, we multiply (2+1)*(2+1), thus you get 9. You do not have to calculate each factor of it separately. _________________