L29_Wed_Mar_31 - MAE3811Sp. 2010 Mahoney1 Prime Numbers and...

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1 MAE3811–Sp. 2010 Mahoney–1 Prime Numbers and Composite Numbers Theorem: There are infinitely many primes. I think we’ll skip the proof… you’ve all been such good sports! Fundamental Theorem of Arithmetic: Each _____________ number can be written as a product of __________ in one, and only one, way except for the order of the ___________ factors in the product. Example: 60 Example: 280 MAE3811–Sp. 2010 Mahoney–2 The Importance of The Fund. Theorem Of Arithmetic In Algebra/Precalc. Students will learn that Polynomial Expressions can be factored into _______________ polynomials just like whole numbers and integers can be factored into Primes. Almost every field has some notion of a “Thing” being broken into “Smaller Parts” Language: A “Word” is composed of individual “Letters” Grammar/Linguistics:
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2 MAE3811–Sp. 2010 Mahoney–3 The Importance of The Fund. Theorem Of Arithmetic Chemistry/Physics: MAE3811–Sp. 2010 Mahoney–4 The Number of Divisors How many positive divisors does 24 have? Notice they’ll form pairs.
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L29_Wed_Mar_31 - MAE3811Sp. 2010 Mahoney1 Prime Numbers and...

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