



 
Hi Charles, I am going to try a smaller problem.
I want a three digit number xyz to be small. The digit that contributes the most to the number is the hundredths digit x so I want it as small as possible. I could make it zero but then the number 0yz = yz is a two digit number so the smallest I can make x is 1. Hence my number so far is 1yz. It the next step the digit that contributes the most to the number is the tens digit y. I want it as small as possible and this time I can choose zero. Hence I now have 10z. Finally I want z to be as small as possible so my first suggestion is to let z be 2. But 102 is not divisible by 4 so maybe I need z = 3. Again 103 is not divisible by 4 so what about z = 4? 104 is divisible by 4 so 104 is the number I want. Can you solve your problem now?  


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