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For questions about factorization, the decomposition of mathematical objects (e.g. natural numbers, polynomials) into products of smaller objects (e.g. primes, lower degree polynomials).
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On odd perfect numbers $N$ given in the Eulerian form $N = {q^k}{n^2}$, Part II
In general there is a factorization $\sigma(q^{k-1}) = 1+q+\ldots+q^{k-1} = \frac{q^k-1}{q-1} = \prod_{d\mid k, d>1} \Phi_d(q)$. … See "aurifeuillean factorization" on Wikipedia. …