what is the largest power of 20 in 100!?

• 100! =100X99X98X97X96...................3X2X1
  MULTIPLES OF 20 IN 100!=20,40,60,80,100
  =20X1,20X2,20X3,20X4,20X5
  THEREFORE ANSWER IS 5(LARGEST POWER)
• 9 years agoHelpfull: Yes(4) No(2)
• 100! /20=5 so 5
• 8 years agoHelpfull: Yes(2) No(1)
• 20= 5 x 4
  100!= 100 x 99 x 98 x.....x 2 x 1
  So (100/25)+(100/5)= 4+20
  Ans is 24
• 9 years agoHelpfull: Yes(1) No(2)
• ans: 24
  
  100!=(2^97)*(5^24)*......
  =2*(4^48)*(5^24)*......
  The above method is only for prime numbers.
  and the least common one is considered so the ans is 24
  
  
• 8 years agoHelpfull: Yes(1) No(0)
• 100!/20 = 5
  so 5 is the largest power
  
• 8 years agoHelpfull: Yes(0) No(2)
• ans:5
  multiples of 20:
• 8 years agoHelpfull: Yes(0) No(1)
• 20= 5*2*2
  100/5+20/5=24
  
  100/2+50/2+25/2+12.5/2+6.5/2+3.125/2=97 But we have a 2^2 hence 97/2 =48
  We take the least power = 24 This is done because 20 is a composite number
• 7 years agoHelpfull: Yes(0) No(0)
• In order to solve this, we have to calculate the prime factors of 20 i.e 5*2*2
  
  highest prime factor is 5, so the no. of power of 20 will solely depend on the power of 5
  
  Now, 100/5 = 20  and also 100/25 = 4  
  
  so the power of 5 will be 20+4 = 24
  
  and => power of 20 = 24
  
  Therefore, the largest power of 20 contained in 100 factorial is 24. and
• 5 years agoHelpfull: Yes(0) No(0)