222^222,when divided by 7 what is the remainder?

• Sorry...its 1
• 12 years agoHelpfull: Yes(18) No(4)
• ans is 4
  because after dividing we got 4/7
  so remainder is 4
• 12 years agoHelpfull: Yes(12) No(4)
• 222^222 mod 7
  
  (31*7+5)^222 mod 7
  
  5^222 mod 7
  
  (25)^111 mod 7
  
  
  (7*3+4)^111 mod 7
  
  (4)^111 mod 7
  
  (16)^55.(4)^1 mod 7
  
  (7*2+2)^55.4 mod 7
  
  (2)^55.4 mod 7
  
  (8)^18.8 mod 7
  
  (7+1)^18.8 m0d 7
  
  (1)^18.8 mod 7
  
  1*8 mod 7=1
  
  1 (ans)
  
• 12 years agoHelpfull: Yes(10) No(2)
• Remainder is zero
• 12 years agoHelpfull: Yes(4) No(8)
• ans is definitely
  222^222=(2x111)^222
  =2^222x111^222
  =(2^10)^22x2^2x(111)^222=(1024)^22x4x(111)^222,,,,
  unit digit in first term is 6 and 4 in second term and 1 in last term,,,,
  this means unit digit in the number= 6x4x1=24,,,,24/7 leaves a remainder 1 and hence answer is 1
• 12 years agoHelpfull: Yes(4) No(3)
• ans is 1
  wid the help of remainder theorum
  
• 12 years agoHelpfull: Yes(4) No(1)
• remainder is 1
  
  
• 12 years agoHelpfull: Yes(4) No(1)
• answer is definitely 3
  222^222=(2x111)^222
  =2^222x111^222
  =(2^10)^22x2^2x(111)^222=(1024)^22x4x(111)^222,,,,
  unit digit in first term is i.e. (2^10)^22 is 6 and 4 in second term i.e. (2^2) and 1 in last term,,,,
  this means unit digit in the number= 6x4x1=24,,,,24/7 leaves a remainder 3 and hence answer is 3
• 12 years agoHelpfull: Yes(4) No(1)
• ans will be one
• 12 years agoHelpfull: Yes(3) No(1)
• 4 is ansawer
• 12 years agoHelpfull: Yes(2) No(2)
• i think ans is 2
• 12 years agoHelpfull: Yes(1) No(0)
• http://dadyjee.wordpress.com/ GO THERE U LL FIND SOME QUESTIONS ALSO..
• 12 years agoHelpfull: Yes(0) No(0)
• srry it will be 1
• 12 years agoHelpfull: Yes(0) No(0)
• last two digit is 44, thus remainder will be 2
• 12 years agoHelpfull: Yes(0) No(2)
• ans is 4 bcoz 2^2/7=4/7=remainder=4
• 12 years agoHelpfull: Yes(0) No(3)
• 1 is the ans by polynomial or reminder theorm
  
• 12 years agoHelpfull: Yes(0) No(0)