. Find the number of powers of 20 in 100!

• 20 = 5 * 4
  thus the no. of times 5 & 4 will appear in 100! will be the power of 20 in 100!..
  but it is well understood that no. of 5's are always lesser than 4 in 100! ...
  thus we only need to calculate no. of 5's...
  = (100/5)+(100/25)
  =20+4
  =24 is d power of 20.
• 11 years agoHelpfull: Yes(9) No(8)
• there will b 3 as a power
  
• 11 years agoHelpfull: Yes(1) No(12)
• ans is 24.
  20 is = 4*5 = 2^2 * 5
  so we will look for no. of 2's and 5's in 100!.
  no of 5's are= 24
  np of 2's are=97
  restrcting to the smaller quantity ans :24
• 6 years agoHelpfull: Yes(0) No(0)