Problem

Suppose you are given a five-digit identification number that you know uses a modular ch...

Suppose you are given a five-digit identification number that you know uses a modular check-digit scheme in which the check digit is the remainder when the number represented by the first four digits is divided by m. You do not know the modulus, but you know the fifth digit is the check digit.

If your identification number is 58237, what are the possible values for m?

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