I'm not too sure but i think that 1 and 10 are both factors. 100 as well.
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48 has 10 factors, the most factors of any number under 50.
There isn't any, and it is quite simple to prove that. Suppose there is a number with the most factors and suppose that number is X. Now consider Y = 2*X. Y has all the factors of X and it has another factor, which is 2. So Y has more factors than X. This contradicts the statement that X has the most factors. Therefore, there is no number with the most factors.
Oh, dude, that's an easy one. The number with the most factors less than 144 is 120. It has a total of 16 factors, beating out all the other numbers below 144. So, yeah, 120 is the champ in the factor game.
512 has 9 prime factors
180 has 18 factors.