Keeping track of number divisibility

[4real4sure]

Hello,

I've been wondering if there is any way to keep track of the divisibility tree. For instance, 5+5=10, and 1+4=5 and 2+3=5 hence 1+4+2+3=10. Now hypothetically, I know that '1' occurs at location 2, '4' occurs at location 1, '2' occurs at location 4 and '3' occurs at location 1 and they all are originating form root '10'. Is it possible to keep track of the four numbers and their locations just by having the number 10?

 

[mfb]

What does "[number] occurs at location x" mean?
What does all this have to do with divisibility (10=2*5)?

For instance, 5+5=10, and 1+4=5 and 2+3=5 hence 1+4+2+3=10.

But also 5+5=10, and 2+3=5 and 1+4=5 hence 2+3+1+4=10.
And 4+6=10 and 2+2=4 and 1+5=6 hence 2+2+1+5=10.
This is in no way unique unless you add some more conditions how you want to do that.