Unique Factorization

  • Lindsay N. Childs
Part of the Undergraduate Texts in Mathematics book series (UTM)


This chapter uses Bezout’s identity and ind1uction 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 classical number theory.


Natural Number Prime Number Fundamental Theorem Infinite Sequence Unique Factorization 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Lindsay N. Childs
    • 1
  1. 1.Department of MathematicsSUNY at AlbanyAlbanyUSA

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