Expression for Integer as Product of Primes is Unique

Theorem
Let $n$ be an integer such that $n > 1$.

Then the expression for $n$ as the product of one or more primes is unique up to the order in which they appear.


 * If a number be the least that is measured by prime numbers, it will not be measured by any other prime number except those originally measuring it.

Also see

 * Integer Expressible as Product of Primes