Question

write fundamental theorem of arithmetic.

Answer 1

Answer:

The fundamental theorem of arithmetic (FTA), also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is prime itself or is the product of a unique combination of prime numbers.

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Answer 2

The Fundamental Theorem of Arithmetic says that every integer greater than 1 can be factored uniquely into a product of primes. Euclid's lemma says that if a prime divides a product of two numbers, it must divide at least one of the numbers. The factorization is unique, except possibly for the order of the factors.