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, 12:06, 3 February 2010→Idea
\end{matrix}</math>
\end{matrix}</math>
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The prime factorization of a positive integer <math>n</math> can be written in the following form:
{| align="center" cellpadding="6" width="90%"
| <math>n ~=~ \prod_{k = 1}^{\ell} \text{p}_{i(k)}^{j(k)},</math>
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where <math>\text{p}_{i(k)}^{j(k)}</math> is the <math>k^\text{th}</math> prime power in the factorization and <math>\ell</math> is the number of distinct primes dividing <math>n.</math>
Let <math>I(n)</math> be the set of indices of primes that divide the positive integer <math>n.</math>
Let <math>I(n)</math> be the set of indices of primes that divide the positive integer <math>n.</math>