what is the highest power of 15 which will divide 90! exactly?

• ans is : 21
  15=5*3
  take factors of 5 & 3 (like: 5 , 25 , 125 ... )
  
  then , (90/5 + 90/25 ) [ 125 can not be taken as it is grater than 90 ]
  = (18+3)
  = 21
  same as for 3 , (90/3 + ..... +90/81) = 44
  
  so, take lowest one
  ans is 21
• 7 years agoHelpfull: Yes(20) No(3)
• Ans is 6.
  90! contains 6 factors of 15.
  1.......15...30....45...60...75...90
  Thus highest power required is 6
• 7 years agoHelpfull: Yes(11) No(11)
• since 15=5*3
  so to divide 90 completelyby 15 we will divide by 5&3 and calculate max powers
  so in this case power of 3 will be excluded because value of higher term will be considered as power 3 will be more than power of 5and we will have to take common powers . so 90/5=18 here we take only quotient ,18/5=3
  so answer will be max power of 15=18+3=21ans
• 7 years agoHelpfull: Yes(7) No(2)
• Ans is 21
  15=3*5
  3 will be more than 5 so wecalculate max power of 5 as we get 15 after multiplying 3 and 5.
  power of 5 in 90!=90/5+90/5*5=21
  
• 7 years agoHelpfull: Yes(2) No(0)
• 15 co primes are 3*5
  to find the highest power of 3 divides 90!
  [90/3]=30
  [30/3]=10
  [10/3]=3
  [3/3]=1
  [1/3]=0
  
  take the sum=44
  
  now highest power of 5 divides 90! exactly
  
  [90/5]=18
  [18/5]=3
  [3/5]=0
  
  sum=18+3=21
  
  min(44,21)=21
  
  ans is 21
• 6 years agoHelpfull: Yes(1) No(0)
• n=10 for exactly divided by 90
  
  
  
• 7 years agoHelpfull: Yes(0) No(3)
• 21 as 15=3*5
  and the highest power of 5 in 90! is 21 and the highest power of 3 in 90! is 44. so together 3 and 5 as 15 will be the power of 21
• 7 years agoHelpfull: Yes(0) No(0)
• no any power of 15 will be divide by 90
• 7 years agoHelpfull: Yes(0) No(3)
• correct answer is 40.
• 7 years agoHelpfull: Yes(0) No(1)
• IN 15 is written as 5*3.so we are taking the value of the lcm method and the top method has been cancel add the next value for seperate 5 and 3
  answer will be 21
• 7 years agoHelpfull: Yes(0) No(0)