Unique Factorization

Part of the Undergraduate Texts in Mathematics book series (UTM)

This chapter uses Bezout's identity and induction to prove the Fundamental Theorem of Arithmetic, that every natural number factors uniquely into a product of prime numbers. After exploring some initial consequences of the Fundamental Theorem, we introduce the study of prime numbers, a deep and fascinating area of number theory.


Natural Number Prime Number Fundamental Theorem Prime Divisor Unique Factorization 
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© Springer-Verlag Berlin Heidelberg 2009

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