What is the greatest positive power of 5 that divides 30! exactly?
Option 1 : 5 Option 2 : 6 Option 3 : 7 ansOption 4 : 8

• The question says how many powers of 5 are there in 30!
  
  Only the numbers 5,10,15,20, 25, 30 are divisors of 5 and 25 is divisible by 5^2 ( 5*5)
  
  Therefore the total number of five's are 7.
  
  Hence the greatest positive power of 5 that divides 30! is 7.
• 6 years agoHelpfull: Yes(3) No(0)
• 5, 10,15,20,25,30.
  
  5 has one 5 --->means 5*1
  10 has one common five ---->means 5*2
  15 has one common five ---> means 5*3
  20 has one common five ---> means 5*4
  25 has TWO common fives --->means 5*5
  30 has one common 5 ----->means 5*6
  so total no of 5 in all the multiples is counted to be 7
  Answer is 5 ^ 7th power.
• 7 years agoHelpfull: Yes(1) No(2)
• divide 30/5 you vl get 1.
  then again divide 6/5 you vl get 1
  so ans is 6+1=7
  do it for any number it you get 1
  and add them except the number itself
• 7 years agoHelpfull: Yes(1) No(2)