The base N entry for 381 ends in 3 and contains 3 digits. What is the largest possible base of this number system N.
| December 1, 2020 | education
Base 9.
Since there is 3 at the end, the minimum base is 4, but up to base 8, you will always get a number with more than 3 digits. 8 does not fit, since it ends in 5. Further on the base 9, letters appear, and nothing is said about them in the problem statement.
381 = 463 9
Answer: 9
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