999
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The largest two-digit number with exactly three factors is 99. A number has exactly three factors if it is the square of a prime number, specifically in the form ( p^2 ) where ( p ) is a prime. The only prime number whose square is a two-digit number is 7, since ( 7^2 = 49 ) and ( 11^2 = 121 ) exceeds two digits. Thus, 49 is the largest two-digit number with exactly three factors.
999 is the largest three-digit number that is divisible by 17. However, 986 is the largest three-digit number that is evenly divisible (no remainder) by 17. 986 / 17 = 58
its 567
One hundred is the least three-digit square number. It is formed by 102.
999