how many digit of xeros at the end of product of the number from 1 to 100?

• Direct formulla of no of Zeroes is
  1*2*3********************100
  100!
  No of Zeroes depend upon no of 5
  [100/5]+[100/5^2]+[100/5^3] ([] indicate no just lower than fraction)
  20+4+0
  24
  ans=24
  
• 11 years agoHelpfull: Yes(27) No(0)
• 
  It occurred to me that the only way you can get a product of numbers to end in 0 is if one of them is a multiple of a power of 10; for example 20, 100, 350, or some such number, or if one is a number that ends in 5 and is multiplied by an even number.
  
  So, if I want to calculate the number of zeros at the end of 100! I count the numbers that end in zero, namely 10,20,30,...100 (that will put 11 zeros at the end of our answer). Then the numbers that end in 5 are 5,15,25,35,...95.
  
  (There are 10 of them, but don't forget that 25 and 75 are multiples of 5^2, so we have to count them twice).
  
  That will give us 12 more zeroes at the end of our number.
  
  And finally, I almost forget the number 50 has to be counted twice because 50 is 5 x 10. For example, if you multiply 50 by an even number like 50 x 4, you get 200, which has 2 zeroes at the end.
  
  To summarize:
  
  There are 10 numbers that end in zero from 1 to 100, but 50 and 100 are also multiples of powers of 5, so that gives us 12 zeroes.
  
  There are 10 numbers that end in 5 from 1 to 100, but 25 and 75 are also multiples of powers of 5, so that gives us 12 more zeroes.
  
  Therefore 100! must end in 24 zeroes.
  
• 11 years agoHelpfull: Yes(14) No(3)
• ans:24
  means end of 100! = calculate no. of 5s in 100 factorial factors which comes out to be 24.
• 11 years agoHelpfull: Yes(2) No(3)
• hai you may see thiss... link found useful
  
  http://puzzles.nigelcoldwell.co.uk/nineteen.htm
• 11 years agoHelpfull: Yes(0) No(0)
• 24 zeros at the end
• 11 years agoHelpfull: Yes(0) No(0)
• 24 zeros....since in factorial of 100! there comes 24 zeros...
  1) 100/5 = 20;
  2) again 20/5 =4;
  adding both results we get 24...hence 24 is d answer......
• 11 years agoHelpfull: Yes(0) No(0)
• Direct formulla of no of Zeroes is
  1*2*3********************100
  100!
  No of Zeroes depend upon no of 5
  [100/5]+[100/5^2]+[100/5^3] ([] indicate no just lower than fraction)
  20+4+0
  24
  ans=24
• 11 years agoHelpfull: Yes(0) No(0)