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Omni-MATH / Let N=(5AB37C2)¯, where A,B,C are digits between 0 and 9, inclusive, and N is a 7-digit positive integer. If N is divisible by 792, determine all possible ordered triples (A,B,C).

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problem

Let N=5AB37C2¯N=\overline{5 A B 37 C 2}, where A,B,CA, B, C are digits between 0 and 9, inclusive, and NN is a 7-digit positive integer. If NN is divisible by 792, determine all possible ordered triples (A,B,C)(A, B, C).
Plain-text mathematical notation (without MathML)
Let N=(5AB37C2)¯, where A,B,C are digits between 0 and 9, inclusive, and N is a 7-digit positive integer. If N is divisible by 792, determine all possible ordered triples (A,B,C).
Original LaTeX notation
Let $N=\overline{5 A B 37 C 2}$, where $A, B, C$ are digits between 0 and 9, inclusive, and $N$ is a 7-digit positive integer. If $N$ is divisible by 792, determine all possible ordered triples $(A, B, C)$.

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