In
number theory, the fundamental theorem of arithmetic (or unique factorization theorem) states that every
natural number greater than 1 can be written as a unique product of
prime numbers. For instance, There are no other possible
factorizations of 6936 or 1200 into prime numbers. The above representation collapses repeated prime factors into powers for easier identification. Because multiplication is
commutative, the order of factors is irrelevant and usually written from smallest to largest.
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