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Insert Zero (Posted on 2016-03-21) Difficulty: 3 of 5

Find all integers n greater than nine that satisfy
the following:

The integer formed by inserting the zero digit
between the units and the tens digits of n is
a multiple of n.   

See The Solution Submitted by Bractals    
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re: Solution Comment 5 of 5 |
(In reply to Solution by Brian Smith)

I'm not sure if I found your error:
You stopped at

If y=5 then x=1 yields 45/15 = 3.  n=15, m=105 is a solution with 105/15 = 10-3.

but also you'd need

If y=5 then x=4 yields 405/45 = 9.  n=45, m=405 is a solution with 405/45 = 10-1

I got lucky by searching by what you called m, so I didn't miss this solution.

  Posted by Jer on 2016-03-21 17:27:26

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