how many values of n is giving exact 18 zeros in n!

• [n/5] + [n/25] = 18
  => n = 75,76,77,78,79
  
  exact 5 values.
• 9 years agoHelpfull: Yes(49) No(0)
• 75 to 79
  75/5 + 75/25 the no of zeros we get =18
  same fr 76
  77
  78
  79
  bt fr 80 we get 19 zeros
  so maximum n=5
• 9 years agoHelpfull: Yes(9) No(0)
• 5! has 1 zero
  10! has 2 zero....
  therefore for 18 zeroes
  n=18*5
  n=90
  
• 9 years agoHelpfull: Yes(2) No(5)
• 5 to 75 factor 5 comes 15 times
  Also consider factor 25 comes 3 Times
  Total 18 zeros for 75!
• 9 years agoHelpfull: Yes(2) No(3)
• n!=75,76,77,78,79.
  n!/5=75/5=15
  15/5=3
  total=(15+3)=18
  similarly 76,77,78,79 also exact 18 zero's.
• 8 years agoHelpfull: Yes(0) No(0)