Base 7
The number above is written in base 7. What integer number, , would need to be subtracted from it in order for it to be divisible by 6?
Hint: There is no need to convert the above number to decimal... Good luck!
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1 solution
For a base 7 number, divisibility by 6 can be determined by adding up all the digits, and if the result is divisible by 6 the number is divisible by 6. Since the sum of the digits of this number is 24, and 24 is divisible by 6, this number is already divisible by 6 and therefore nothing needs to be subtracted from it.