The base N number 280 is 3 digits and ends in 0. What is the maximum possible radix?
| December 1, 2020 | education
Since the number ends in 0, the base can start at 2. But up to 7 the number will contain more than 3 digits. We also do not consider the bases after 16, since then they have less than 3 digits.
280 ^ 10 = 118 ^ 16
280 ^ 10 = 13a ^ 15
280 ^ 10 = 160 ^ 14
Therefore, the largest basis that matches the conditions is 14.
Answer: 14
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