146!/5^n what is the maximum value of n?
Option
A) 34
B) 35
C) 36
D) 37

• exponent of 5 in 146! = [146/5]+[146/5^2]+[146/5^3]= 29+5+1 = 35
  
  i.e. 146! has a factor 5^35
  
  146!/5^n => n(max)=35
• 10 years agoHelpfull: Yes(38) No(0)
• ANS B 146/5=29 146/25=5 146/125=1 SO 29+5+1=35
• 10 years agoHelpfull: Yes(2) No(0)
• 146/5 = 29
  146/5^2= 5
  146/5^3 = 1 therefore ans is 29+5+1= 35 (B)
• 10 years agoHelpfull: Yes(2) No(2)
• 146/5+146/25+146/125
• 10 years agoHelpfull: Yes(1) No(2)
• we will choose a number such that 5^x 5^4=625 so we will exclude x=4. we will choose x=3.
  now for x=1 to 3 we will do
  (Summation of)(146/5^x)
  146/5^1 + 146/5^2 +146/5^3=29+5+1=35.
• 10 years agoHelpfull: Yes(1) No(0)
• the ans is 35
  146/5=29
  29/5=5
  5/5=1
  29+5+1=35
• 10 years agoHelpfull: Yes(0) No(0)