How many natural numbers less than 100 are there such that n 2does not divide n!?

1) 24
2) 25
3) 26
4) None of these

• 
  26
  
  At least all prime numbers will satisfy this condition.
  
  26 numbers
  2,3,4,5,7, 11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97.
• 11 years agoHelpfull: Yes(1) No(0)
• I think
  None of these
  
  4!/4^2 =24/16 = 3/2 is not an integer.
  
  4 should also be included in the list .
• 11 years agoHelpfull: Yes(1) No(0)
• 26 is right.
  
  26 numbers are
  2,3,4,5,7, 11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97.
  which include 1 (four) and 25 prime numbers.
• 11 years agoHelpfull: Yes(0) No(0)