Question

fundamental theorem of arithmetic theorem 1.2...explain step by step​

Answer 1

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Fundamental Theorem of Arithmetic

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

This theorem is also called the unique factorization theorem. The fundamental theorem of arithmetic is a corollary of the first of Euclid's theorems (Hardy and Wright 1979). For rings more general than the complex polynomials, there does not necessarily exist a unique factorization. However, a principal ideal domain is a structure for which the proof of the unique factorization property is sufficiently easy while being quite general and common.

Answer 2

Explanation:

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Theorem 1.2 (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 factors occur.

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