2. The exponent of 8 in 150! is

• 8=2^3 1st find out highest power of 2 in 150! by following way-
  150/2 + 150/2^2 + 150/2^3 + 150/2^4 + 150/2^5 + 150/2^6 + 150/2^7=75+37+18+9+4+2+1=146
  now for 2^3 divide 146/3=48 (takng nly qutn)
  so 48 is the answer.
• 11 years agoHelpfull: Yes(26) No(1)
• exponent of 2 in 150!=[150/2]+[150/2^2]+[150/2^3]+...+[150/2^7]=146
  so no. of exponent of 8 =146/3 = 48
• 11 years agoHelpfull: Yes(8) No(0)
• 75+37+18+9+4+2+1=146 two's
  so 146/3 = 48 eight's will appear..
  hence the exponent of 8 in 150! is 48
• 11 years agoHelpfull: Yes(2) No(1)
• 20. Is this the ans???
• 11 years agoHelpfull: Yes(1) No(11)
• 150/8+150/8^2=20,so exponent of 8 is 20
• 11 years agoHelpfull: Yes(1) No(5)
• the exponent of 2 in 150! is 146
  den 2^3=8
  hence 146/3
  48 is answer
  
• 11 years agoHelpfull: Yes(1) No(2)
• 8=2^3 1st find out highest power of 2 in 150! by following way-
  150/2 + 150/2^2 + 150/2^3 + 150/2^4 + 150/2^5 + 150/2^6 + 150/2^7=75+37+18+9+4+2+1=146
  now for 2^3 divide 146/3=48 (takng nly qutn)
  so 48 is the answer.
  
  
  
• 10 years agoHelpfull: Yes(1) No(0)
• I hope 48 is the wrong answer.20 is correct..
  you will get this answer ARUN SHARMA Page no 520(3rd eddition)
• 10 years agoHelpfull: Yes(1) No(1)
• 48
  it is the right answer and @Shaswata have already explained.
  
  Thanks
• 10 years agoHelpfull: Yes(1) No(0)