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Re: Just had a thought.

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Boeing717 is not online. Boeing717
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Joined: 08 Jun 2008
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28 Feb 2012 07:19 PM
Are there whole numbers which can not be divided by 9, but if multiplied by two, are multiples of 9?
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Iamaniceperson is not online. Iamaniceperson
Joined: 19 Jan 2009
Total Posts: 40000
28 Feb 2012 07:20 PM
can you re-word that?

Friendship is a potato
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SpeedyTehturtle is not online. SpeedyTehturtle
Joined: 31 Mar 2009
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28 Feb 2012 07:20 PM
uh, 8? dunno
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Jacob147 is not online. Jacob147
Joined: 24 Feb 2008
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28 Feb 2012 07:20 PM
hmmmmmmmmmmmmmmmmmm
im going to explode nao
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SpeedyTehturtle is not online. SpeedyTehturtle
Joined: 31 Mar 2009
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28 Feb 2012 07:20 PM
wait never mind, i'm thinking of something else
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chaser67 is not online. chaser67
Joined: 16 Aug 2010
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28 Feb 2012 07:21 PM
Y U NO MAKE SENSE!
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Boeing717 is not online. Boeing717
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28 Feb 2012 07:21 PM
Okay, imagine we have an integer x. Now we multiply by 2, getting integer 2x. If 2x is a multiple of 9, is there any value from which x would not be a multiple of 9?
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evenawesome is not online. evenawesome
Joined: 27 May 2010
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28 Feb 2012 07:22 PM
Technically, only 4.5 would fit this rule. Well, as far as I can tell.
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Jacob147 is not online. Jacob147
Joined: 24 Feb 2008
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28 Feb 2012 07:23 PM
@even
4.5 isnt an integer
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Boeing717 is not online. Boeing717
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28 Feb 2012 07:23 PM
even

I said a whole number.
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evenawesome is not online. evenawesome
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28 Feb 2012 07:23 PM
Wait a sec... That wasn't a whole number. *facepalm*
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evenawesome is not online. evenawesome
Joined: 27 May 2010
Total Posts: 1799
28 Feb 2012 07:24 PM
I can't name any other numbers relating to this theory at all... I'm too lazy to go to my living room and get my calculator, so I'm out of here...
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friedchicken009 is not online. friedchicken009
Joined: 04 Mar 2011
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28 Feb 2012 07:24 PM
No.
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EmancipationSuite is not online. EmancipationSuite
Joined: 27 Dec 2010
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28 Feb 2012 07:25 PM
interesting thought though but I am pretty sure the answer is no

you can find a multiple of nine by if it's digits all equal another multiple of nine

so if you manage to get something like that without multiplying anything by nine, I guess so

but otherwise, as I said before, no

~f٥гﻉ√ﻉг™~
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Noobula9812 is not online. Noobula9812
Joined: 18 Feb 2009
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28 Feb 2012 07:27 PM
Any number can be divided by 9, evenly or not, so no.
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Boeing717 is not online. Boeing717
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28 Feb 2012 07:28 PM
It can actually be extended further.

If an even number has an odd divisor, then half that number can be divided by the same integers. (i.e for 18, you can divide by the odd integers 1, 3, and 9, divided by 2, we get 9, which can be divided into the same 3)

Anyone who wants to try a proof or a refutation to this can. I have a feeling the converse is true, where no even number can be divided by an odd number that half of it could (in the same case as the original, if we have 9 and multiply by 2, we won't be able to divide evenly into 7 or 5 or anything like that).
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