Definition of fundamental theorem of arithmetic.
Every composite number can be expressed ( factorised ) as a product of primes , and this factorisation is unique , apart from the order in which the prime factor occur.
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The fundamental theorem of arithmetic states that every positive integer (except the number 1) can be represented in exactly one way apart from rearrangement as a product of one or more primes (Hardy and Wright 1979, pp. 2-3). This theorem is also called the unique factorization theorem.
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