Question 1162657: Let N = abcabc and M = defdef, where a,b,c,d,e,f ∈ {0,1,...,9} are distinct digits and a,d > 0. Determine all solutions to N = 9*M/64.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
As I understand the problem, it asks to find all INTEGER solutions.
Notice that any number of the form abcabc is this product 1001*abc, and 1001 is 7*11*13.
So, in order for  be an integer, where M = defdef = 1001*def = 7*11*13*def, the number def must be multiple of 64.
From this HINT, complete the solution on your own.
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