what is the power of 20 in 100 factorial?

• the previous answer is wrong......
  for this we have to calculate the prime factors of 20 = 5*2*2
  highest prime factor is 5, so the no. of power of 20 will be depend on power of 5
  so power of 5
  100/5 = 20
  100/25 = 4
  
  so the power of 5 will be 20+4 = 24
  and => power of 20 = 24
  
• 9 years agoHelpfull: Yes(5) No(0)
• 100! = 100 *99*98*97......
  so here multiples of 20 are 20,40,60,80and 100
  so the power of 20 will be 5
  20^5
• 9 years agoHelpfull: Yes(0) No(2)
• 100/20=5 ans
• 9 years agoHelpfull: Yes(0) No(1)
• prime factors of 20 are=2^2*5
  100/5=20
  20/5=4
  4/5=0(taking only the quotient)
  adding all these i.e. 20+4=24
  now for prime factor 2
  100/2=25
  25/2=12 (25/2=12.5 but ignore the decimal)
  12/2=6
  6/2=3
  3/2=1
  1/2=0
  adding all these i.e.(25+12+6+3+1=47)
  47/2=23
  since 23
• 9 years agoHelpfull: Yes(0) No(1)