Question

state the fundamental theorem of Arithmetic ​

Answer 1

Step-by-step explanation:

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. This theorem is also called the unique factorization theorem.

Answer 2

Answer:

the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem,

It states that-

every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers and that, moreover, this representation is unique, up to (except for) the order of the factors. For example, 1200=2⁴·3·5²=(2·2·2·2)·3·(5·5)=5·2·5·2·3·2·2=… The theorem says two things for this example: first, that 1200 can be represented as a product of primes, and second, that no matter how this is done, there will always be exactly four 2s, one 3, two 5s, and no other primes in the product.

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