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Proof without Words: Pythagorean Triples and Factorizations of Even Squares

by José Gomez (South Junior High School Newburgh NY)

This article originally appeared in:
Mathematics Magazine
February, 2005

Subject classification(s): Algebra and Number Theory | Number Theory | Primes
Applicable Course(s): 4.3 Number Theory

A 1-1 correspondence between Pythagorean triplets and the factorization of certain even squares is exhibited.

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Capsule Course Topic(s):
Number Theory | Primes and Composites, Factorization
Number Theory | Diophantine Problems, Pythagorean Triples
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