Q: Which number less than 50 has the greatest number of factors?

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12

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.

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.

196, 169, 144

256 is the greatest even square number that is less than 300.

Related questions

12

The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.

60, 72, 84, 90 and 96 each have twelve factors.

60, 72, 84, 90 and 96 each have twelve factors.

60, 72, 84, 90 and 96 are tied with 12.

What is the greatest palindromic number less than 999?

the greatest prime number less than 200 is 199

47 is the greatest prime number less than 48.

The greatest prime number less than 200 is 199.

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.

The greatest composite number that is less than 100 is 99. Its factors are 1, 3, 9, 11, 33, and 99. It can't be prime because it has factors other than 1 and itself.

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.