Find the smallest radix of the system in which the number 35 ends in 3?

In the secondary and ternary systems, there are no digits ending in 3.
Since, 8: 4 = 2 (remainder 0); 2: 4 = 0 (remainder 2); 35: 4 = 8 (remainder 3).
Answer: Quadruple system: 35 = 203



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