Does anyone have a simple explanation for why 1 MOD anything is 1? I need to explain this to students and after looking at some websites, the mathematical explanations are beyond my comprehension at this point.

# 1 MOD anything is 1 - Explain?

Except for 1 MOD 1 of course.

You can probably explain this using a clock. See https://www.khanacademy.org/computing/computer-science/cryptography/modarithmetic/a/what-is-modular-arithmetic to understand how to visualize modulus with a clock. I hope this helps.

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Very helpful. Thanks!

Yes! I can’t believe I had a mind block on this. I blame decimals :).

I always have to resort to long division when talking about MOD being the remainder! Glad that helped.