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What is the fundamental theorem of arithmetic?

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The fundamental theorem of arithmetic, the unique factorization theorem, asserts that any positive integer a is a product ( a ?=? p1 ?·? p2 ?·? p3 ?·?·?·? pn ) of primes that are unique except for the order in which they are listed; e.g., the number 20 is the product 20?=?2?·?2?·5, and it is unique (disregarding order) since 20 has this and only this product of primes.

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