Question

state the fundamental theorem of arithmetic​

Answer 1

Answer:

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 factorisation theorem.

Answer 2

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fundamental theorem of arithmetic →

✯ Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique except for the order in which the prime factors occur.

it says that given any composite number it can be factorised as a product of primes Numbers in a 'unique' way, except for the order in which the primes occur. That is, given any composite number is one and only one way to write it as a product of primes, as long as we are not particular about the order in which the primes occur