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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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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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 Spring '11
 Mahoney

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