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Mathematics 9 Online
OpenStudy (anonymous):

six is called a perfect number because its factor {not including 6} adds up to itself, i.e. 1+2+3=6 Find all the perfect numbers between 20 and 30. @mkerr017 @zepdrix @aum

zepdrix (zepdrix):

\[\Large\rm 20:~1+2+4+5+10\ne 20\]Hmm that one's no good, yah? :d Just trial and error it looks like c:

OpenStudy (anonymous):

yeah, i think you can do this one on your own, you just don't want to :D

zepdrix (zepdrix):

Ooo I found one!! c: I think there is only 1 number that will work. Keep looking choo!

OpenStudy (anonymous):

i dont know how to work it out im only in grade 5

OpenStudy (anonymous):

seriously?! I just learned a lot of this stuff last year as a freshman 0.o

OpenStudy (anonymous):

i still need help, this is what this site is for, isnt?

OpenStudy (anonymous):

Yeah, sorry, that was rude of me:/

zepdrix (zepdrix):

Do you know the factors of 22? :) Numbers that multiply to give you 22.

OpenStudy (anonymous):

it okay!

zepdrix (zepdrix):

1 and 22 2 and 11 I think those are all the factors of 22, yes?

OpenStudy (anonymous):

11?@zepdrix

zepdrix (zepdrix):

2 x 11 = 22, yes? 0_o

OpenStudy (anonymous):

think so

OpenStudy (anonymous):

hey choka choka :)

zepdrix (zepdrix):

We don't include the number itself, so we exclude the 22. Do the other factors add up to 22? 1 + 2 + 11 = ?

OpenStudy (anonymous):

no

zepdrix (zepdrix):

Ok great, so we can cross 22 off of our list c:

zepdrix (zepdrix):

23 is a prime number. So let's skip that one. The only other factor besides 23 is 1. So 1 does not add up to 23 >.<

zepdrix (zepdrix):

Can you figure out the factors of 24? There are a lot of them!

OpenStudy (anonymous):

1,2,3,4,6,7,8,12,24?

zepdrix (zepdrix):

Mmmm yah I think that's all of them! c: Exclude 24, do the others add up to 24?

OpenStudy (anonymous):

no

zepdrix (zepdrix):

Darn we gotta keep looking D: Keep trying choo choo!

OpenStudy (anonymous):

what am i looking for, i forgot?

zepdrix (zepdrix):

For the factors of the number to add to the number. (excluding itself in the addition).

zepdrix (zepdrix):

So when they showed you the example with 6... the factors of 6 are 1,2,3,6 We check to see if all the factors (besides the 6) add up to 6. 1+2+3 = 6

zepdrix (zepdrix):

There is another number that also does this in the 20's somewhere.

OpenStudy (anonymous):

ok

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