perplexus.info :: Numbers : Using its own digits

Using its own digits (Posted on 2018-05-31)

a.What two-digit number equals the product of units' digit by the factorial of tens' digit?
b. What if a non-decimal system (base below ten) were allowed?

See The Solution Submitted by Ady TZIDON

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re(2): beyond base 10, analytical solution....TBC

| Comment 5 of 9 |

(In reply to re: beyond base 10, analytical solution....TBC by Ady TZIDON)

Judging by the title "beyond base 10" I'm sure Daniel had in mind extending the puzzle to bases higher than ten, such as the following computer-generated cases:

base the two digits
 5    3  3
10    3  6
15    3  9
20    3 12
23    4  4
25    3 15

The only assurance needed is that the base is at least one higher than either of the digits.

Posted by Charlie on 2018-06-01 08:45:40

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