find the last 3 digit of 443^443.

• ans:307
  power is 443
  =>443/4 rem=3
  so,443^3=86938307
  last 3 digit=307
  
• 10 years agoHelpfull: Yes(12) No(1)
• why u guys devide by 4. Please explain.
  
• 10 years agoHelpfull: Yes(12) No(2)
• We devide by 4 because after every 4th power the last digits repeat
  I.e., 443^1last digit 3
  443^2 last digit 9
  443^3 last digit 7 then 1 and after power 4 i.e, from power 5 the last digit repeats I.e., again 3 9 7 1 like that hence dividing by 4 is done mainly to find the last digit
• 9 years agoHelpfull: Yes(7) No(0)
• like this:
  ans:307
  power is 443
  =>443/4 rem=3
  so,443^3=86938307
  last 3 digit=307.
• 10 years agoHelpfull: Yes(4) No(1)
• Why did u divide 443 by 4. Plz explain.....
• 9 years agoHelpfull: Yes(2) No(0)
• ans is 307
• 10 years agoHelpfull: Yes(1) No(0)
• answer itself is 443
  
• 10 years agoHelpfull: Yes(0) No(5)
• power:443
  443/4=remainder:3
  take:443^3
  ans:370
• 10 years agoHelpfull: Yes(0) No(1)
• karan can you explain the ans
  
• 10 years agoHelpfull: Yes(0) No(1)
• please explain clearly
• 10 years agoHelpfull: Yes(0) No(0)
• 173 as alays it ends up wid that
  
• 9 years agoHelpfull: Yes(0) No(0)
• Karan why u have not consider 443^(4*11) last three digits ???
• 9 years agoHelpfull: Yes(0) No(0)
• as the cyclicity of 3 is 4....arnab..
• 9 years agoHelpfull: Yes(0) No(0)