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  • Subject: Re: Factors and Terms
  • From: "Peter Dow" <pcdow@xxxxxxxxxxxxxxx>
  • Date: Sat, 21 Oct 2000 08:42:57 -0700

From: "Leif Svalgaard" <leif@leif.org>
> it has only one factor, namely 7. If you want to call 1 a factor of 7,
then
> I'll argue that 7 has seven factors, viz. 7, 1, 1, 1, 1, 1, 1, because
> undeniably 7 = 7*1*1*1*1*1*1.

Why stop there? You could have an infinite number of *1's there.


> A factorization of a number by convention excludes the divisor 1,
> in order to maintain the desirable property that every number larger
> than 1 can be written as a unique product of prime numbers raised
> to integral powers. The factorization of 6 is 6 = 2**1 * 3**1, of 28 is
> 28 = 2**3 * 7**1, of 7 is 7 = 7**!, etc.

28 = 2**3 * 7**1? That *must* be fuzzy math!<G>

Regards,
Peter Dow
Dow Software Services, Inc.
909 425-0194 voice
909 425-0196 fax



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