. State fundamental theorem of arithmetic


Best Answer

Explanation:

The statement of the fundamental theorem of arithmetic is: 

"Every composite number can be factorised as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur."

For example, the prime factorisation of 120 is 2×2×2×3×5.

And here the set of prime factors is unique.

That is,120  can have only one possible prime factorization, with three factors of 2 that is 23, one factor of 3 that is 31, and one factor of 5 that is 51.

Final Answer:

The statement of the fundamental theorem of arithmetic is: 

"Every composite number can be factorised as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur."

 

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