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Identical Digit Baffle (
Posted on 20140908
)
Determine the largest five digit base14 positive integer such that when multiplied by a single base14 digit, the result is a six digit base14 positive integer with all digits identical.
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Submitted by
K Sengupta
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calculator solution
Comment 2 of 2 
111111 (base 14) = 579195 (base 10) = 3^2*5*61*211,
so the single base 14 digit associated with the largest 5 digit solution is either 3 or 5 or 9.
8/9 is bigger than 2/3 or 4/5, so the final answer is
(8/9)*579195 = 514840 (base 10) =
D58A4 (base 14)
Posted by
Steve Herman
on 20140908 21:48:53
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