What are the set of remainders when a positive integer is divided by 4

Question

anonymous · Answer

1-2-3

anonymous · Answer

what about zero?

anonymous · Answer

is it + i didnt know

anonymous · Answer

how is it 1,2,3?

anonymous · Answer

I used number 5 - 6 -7 -8 -9 -9 10 - 11 in Mod 4 and saw the pattern as fallowin
5 mod 4 is 1
6mod 4 is 2
7 mod 4 is 3
8 mod 4 is 0 - not qualified not a positive num
9 mod 4 is 1 etc it keeps repaitin those three numbers 1-2-3

anonymous · Answer

Ohhhhhhh. Thanks alot ! :)

anonymous · Answer

yes ok but this should be + right?

anonymous · Answer

Because question asks about a positive number no?

anonymous · Answer

don't forget zero
it is a perfectly good number

loser66 · Answer

@happybee the question just indicate about positive number divided by 4, not positive remainder. hehe

loser66 · Answer

@satellite73 do we have to add 0 there? why? please, explain

anonymous · Answer

the question reads 
What are the set of remainders when a positive integer is divided by 4

not 
What are the set of positive  remainders when a positive integer is divided by 4

anonymous · Answer

since for example 8 counts as a positive integer, when you divide 8 by 4 you get a remainder of zero

loser66 · Answer

but 0 is not remainder

anonymous · Answer

so set of remainders when dividing by 4 are $\{0,1,2,3\}$

anonymous · Answer

really?

loser66 · Answer

As you stated above, the set should be {-1,-2,-1,1,2,3} I don't understand why 0 is a remainder

loser66 · Answer

*-3

anonymous · Answer

no not $-2,-1,...$ having a remainder of $-1$ is the same as having a remainder of $3$

anonymous · Answer

zero is a perfectly good number 
if you take a positive integer that is a multiple of 4, like 12, divide it by 4, you get a remainder of zero
just means it goes in there evenly

anonymous · Answer

Thanks guys :) !

anonymous · Answer

Thank you all.