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The greatest number that is less than 30 is 29.Becuase the only prime numbers that are less then 100 are:2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,59,61,67,71,73,79,83,89 and 97.So as you seen the greatest number that is less than 30 is 29.
The greatest possible 'length' comes from the number with the greatest number of prime factors. The greatest number of factors is created by using the smallest prime number, 2, as a factor as many times as possible. Since 2^9=512 and 2^10=1024, the greatest possible 'length' of a positive integer less than 1000 is 9.
256 is the greatest even square number that is less than 300.
196, 169, 144