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## Theorem: Fundamental Theorem of Arithmetic

Every natural number $$n\in\mathbb N$$, $$n > 1$$, can be uniquely factorized, i.e. written as a product of consecutive powers of prime numbers

$n=p_1^{e_1}\cdot\ldots\cdot p_r^{e_r},$

with $$r \ge 1$$, and $$e_i\ge 0$$.

| | | | | created: 2019-03-10 20:09:46 | modified: 2019-03-10 20:15:37 | by: bookofproofs

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