What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?

• Simply if divide all number with 5 than we get reminder as below :
  --
  90/5 = 18
  80/5 = 16
  70/5 = 14
  60/5 = 12
  50/5^2 = 2
  40/5 = 8
  30/5 = 6
  20/5 = 4
  10/5 = 2
  --
  So total highest power will be 9 and 1 add form 50 terms So total will be 10
• 9 years agoHelpfull: Yes(27) No(13)
• Take LCM of Each Number
  90/5=5*2*3*3------------------>here we will get one 5
  80/5=5*2*2*2*2--------------->here we will get one 5
  70/5=5*2*7--------------___---->here we will get one 5
  60/5=5*2*2*3------------------>here we will get one 5
  50/5=5*5*2___------------------>here we will get Two 5^2
  40/5=5*2*2*2------------------>here we will get one 5
  30/5=5*2*3--------------------->here we will get one 5
  20/5=5*2*2--------------------->here we will get one 5
  10/5=5*2------------------------>here we will get one 5
  Here we will get one 5 in each number instead of 50(5*5*2)
  So answer is 5^10
• 7 years agoHelpfull: Yes(8) No(1)
• Power is 10
• 9 years agoHelpfull: Yes(4) No(9)
• take hcf of these terms with the divison method .....
  first hcf of 70,80 it comes out to be 10
  then with 10 take hcf of others . and at last hcf comes out to be 10
  so 10 is ans
• 6 years agoHelpfull: Yes(0) No(0)