Re: [MATHEDCC] Divisibility Rules

David Etzwiler (detzwile@UWC.EDU)
Thu, 02 Oct 1997 14:26:37 -0500

Here's the 'divisibility by 7 rule' I learned many moons ago

Divide the number by 50; add the quotient and remainder. The original
number is divisible by 7 if the sum of quotient and remainder is divisible
by 7.

Example: 476 divided by 7 has quotient 9 and remainder 26; the sum of
these is 35 ; therefore 476 is divisible by 7.

Not as simple a rule as for 5's or 8's or some others.

At 08:50 AM 10/2/97 EST5EDT4,M4.1., Phil Mahler wrote:
>One of our staff in a math lab recently created a summary of
>divisibility rules for dividing by the whole numbers 2,3,...,10.
>
>example: A number is divisible by 2 if its ones digit is 0,2,4,6,8.
>
>It states there is no rule for 7.
>-----------------------------------------------------------------
>Assuming the domain of discussion to be the whole numbers, is this true?
>
>Phil Mahler
>Middlesex CC
>Bedford, MA
>
>p.s. There is some ambiguity in the question, which I chose to not remove.
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David Etzwiler
UWC-Baraboo

detzwile@mail.uwc.edu
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