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What Is Special about the Divisors of 12?

Sunil K. Chebolu and Michael Mayers
Mathematics Magazine
Vol. 86, No. 2 (April 2013), pp. 143-146
DOI: 10.4169/math.mag.86.2.143
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Page Count: 4
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What Is Special about the Divisors of 12?
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Summary What is an interesting number theoretic characterization of the divisors of 12 among all positive integers? This paper will provide one answer in terms of modular multiplication tables. We will show that the multiplication table for the ring ℤn [x1, x2, … , xm] has 1’s only on the diagonal if and only if n is a divisor of 12.

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