How many zeros are contained in 100!?

• @ Narendra And Richa,
  Number of zeros will depend on number of times multiple of 5,25,125 appear in the factorial of specified number.
  in case of 100!,
  multiples of 5 are 100/5=20
  multiples of 25 are 100/25=4
  so total zeros= 20+4=24
• 11 years agoHelpfull: Yes(25) No(0)
• zeros at end of 100!= 100/5 +100/25= 20+4=24
• 11 years agoHelpfull: Yes(20) No(3)
• 24 is ans
  100/5 + 100/25=24
  
• 11 years agoHelpfull: Yes(6) No(5)
• can any one explain clearly???
• 11 years agoHelpfull: Yes(6) No(5)
• 24
  100/5 = 20
  20/5 =4
  Answer:24
• 11 years agoHelpfull: Yes(5) No(2)
• Basic Explaination
  5*2=10
  5*5*2*2=100
  and so on
  Therefore, to solve the above problem you need to find the number of 5s and 2s contained in a number.
  No of 5s in 100! = 100/5 + 100/(5^2)
  = 20 + 4
  = 24
  No of 2s in 100! = 100/2 + 100/(2^2)+100/(2^3)+100/(2^4)+100/(2^5)+100/(2^6)
  = 50 + 25 + 12 + 6 + 3 + 1
  = 97
  However no of 5s are only 24
  so ans = 24
  Shortcut Method : Always find highest number that is 5 = 24 ans
• 11 years agoHelpfull: Yes(4) No(0)
• 24 zeroes
  100/5=20
  20/5=4
  total 20+4=24
  
• 11 years agoHelpfull: Yes(3) No(2)
• 11 zeros for 10, 20, 30, 40, 50, 60, 70,80, 90 and 100
  plus there will be 10 zeros for 5, 15............95
  for 75 , 25 and 50 there will be 3 additional 0's
  so sum it up 11+10+3 = 24
• 11 years agoHelpfull: Yes(1) No(14)
• there will be 24 zero's as upto 25! we have 6 zero's so same like that 6*4=24
• 11 years agoHelpfull: Yes(1) No(6)
• can some one pls suggest as why 100 is being divided by 5 and 25? i mean pls explain d logic behind it.
• 11 years agoHelpfull: Yes(1) No(1)
• 100/5=20
  and
  100/25=4
  so ,the total ans is 20+4=24
  we r searching for 5 because 5*(any even number gives 0 at the unit place )
  and another thing is the 25 contain two 5's .
  That's why i have divided by 5 and 25 both for less then 100 .
• 9 years agoHelpfull: Yes(1) No(0)
• 100!=10,20,30,40,50,60,70,90,100(totally 10 no of zero's)
• 11 years agoHelpfull: Yes(0) No(29)
• the ans will be 11.
• 11 years agoHelpfull: Yes(0) No(2)
• 24 zeros in 100!
• 9 years agoHelpfull: Yes(0) No(0)