Unique Factorization Theorem

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Unique Factorization Theorem may refer to:

Euclidean Domain is UFD

Let $\struct {D, +, \times}$ be a Euclidean domain.

Then $\struct {D, +, \times}$ is a unique factorization domain.

Fundamental Theorem of Arithmetic

For every integer $n$ such that $n > 1$, $n$ can be expressed as the product of one or more primes, uniquely up to the order in which they appear.