Find the reminder when 333666777888999 divided by 3 or 9 or 11

• the sum of the digits is 3+3+3+6+6+6+7+7+7+8+8+8+9+9+9=99, which is a multiple of 3 & 9, hence divisible by 3 & 9. hence the remainder is 0.
  the difference of the sum of even place digits and odd place digits is (3+3+6+7+7+8+9+9)-(3+6+6+7+8+8+9)=5. hence not divisible by 11. so, the remainder is the difference, which is 5.
• 13 years agoHelpfull: Yes(30) No(2)
• 5.
  Solution:
  Remainder is 0 when divided by 3 or 9
  Remainder is 5 when divided by 11
  But 3 or 9 or 11(decimal) => 11 or 1001 or 1011(binary)
  => 1011(binary) => 11(decimal)
  So remainder is 5.
• 13 years agoHelpfull: Yes(1) No(2)
• 333666777888999/3=95%3=2
  333666777888999/3=95%9=5
  333666777888999/11=31/11=9
• 12 years agoHelpfull: Yes(1) No(15)
• 333666777888999 is not divisible by 11..when we divide them th remainder will be 5.
• 9 years agoHelpfull: Yes(0) No(0)
• add all the numbers you would end up as 99, which is divisible by 3, 9. To get 11 add sum of even numbers, and odd numbers if both are equal it is perfectly divisible by 11. and doesn't leave any reminder
• 8 years agoHelpfull: Yes(0) No(0)