360, 420 and 480 each have 24 factors.
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60, 72 and 84 are tied with twelve.
1 is the number less than fifty with the fewest number of factors. All other numbers have at least two factors (1, and the integer itself).
Your question isn't clear. If you want to know which number less than 25 has the most factors, the answer is 24.
In that range, the number with the most factors is 48 (10) 36 has 9 and four others are tied with 8.
600