Asked by avinash
7. Find the reminder when 333666777888999 is divided by 3
or 9 or 11 ?
Answers
Answered by
Steve
Add up the digits - take mod 9. That's the remainder mod 9
Add up the digits - take mod 3. That's the remainder mod 3
Go from left to right, alternately subtracting and adding digits. The result is the remainder mod 11
(This is because 100 = 1 mod 11 but 10 = -1 mod 11)
Add up the digits - take mod 3. That's the remainder mod 3
Go from left to right, alternately subtracting and adding digits. The result is the remainder mod 11
(This is because 100 = 1 mod 11 but 10 = -1 mod 11)
Answered by
vivek
3-0
9-0
11-5
9-0
11-5
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