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Article #487Fund. Thm. of Arithmetic
From: Bob Murphy
Date: Wed, 13 Jan 1993 02:39
Date: Wed, 13 Jan 1993 02:39
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1427 bytes
In article <37005.2B527C15@puddle.fidonet.org> Sheila.King@f315.n103.z1.fidonet.org (Sheila King) writes:
>
>Could you tell me what the fundamental theorem of arithmetic is? I know
>the fundamental theorems of algebra and calculus, but I didn't know
>there was one for arithmetic.
>
>Sheila King
>
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Fundamental Theorem of Arithmetic:
Every positive integer n > 1 can be expressed as a product
of primes; this representation is unique, apart from the
order in which the factors occur.
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This unique factorization is an important property of positive
integers and is the reason that 1 should never be considered
a prime number. If 1 were considered a prime number then we
would have, for example:
6 = 2*3
6 = 1*2*3
6 = 1*1*2*3
etc.
Bob Murphy (rmurphy@aludra.usc.edu)
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Path: arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!howland.reston.ans.net!usc!aludra.usc.edu!not-for-mail From: rmurphy@aludra.usc.edu (Bob Murphy) Newsgroups: k12.ed.math Subject: Fund. Thm. of Arithmetic Date: 12 Jan 1993 18:39:17 -0800 Organization: University of Southern California, Los Angeles, CA Lines: 31 Message-ID: <1ivvclINN4lv@aludra.usc.edu> References: <37005.2B527C15@puddle.fidonet.org> NNTP-Posting-Host: aludra.usc.edu