I would do this by first listing the multiples of 6 until I start to see a pattern with the one's digit. 6x0= 0 6x1= 6 6x2=1 2 6x3=1 8 6x4=2 4 6x5=3 0 6x6=3 6 6x7=4 2 6x8=4 8 ... The digits in bold are the one's digits so those are the only ones we really care about. If you list just them it looks like: 0,6,2,8,4,0,6,2,8 Notice how the first set of 5 numbers seems as though it repeats in the 6th, 7th, and 8th numbers. This probably means the pattern continues infinitely so the first 5 numbers are all the one's digits that can come from multiples of 6. Thus your answer is: 0,6,2,8,or 4
The possible ones digits for a multiple of 6 are 0, 2, 4, 6, and 8. These digits repeat in a pattern as we list more multiples of 6. Thus, only these five digits can be the one's digit of any multiple of 6.
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