Divisible by 8?

Number Theory Level 4

\[\large (102030405060504030201)_7\]

What integer \(0 \leq n \leq 7\) would need to be subtracted from the above number for it to be divisible by \((8)_{10}\)?

\[\] Clarification:

  • No calculators please!
  • The subscript 7 indicates that we are working in base 7.

Try more questions on Bases.

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