Solution

155145

Problem / game
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First name
Allan Chen,Maysa Oukrit, Soyeon Park,Vaneeza Kazmi
School
Greenacre Public School
Country
Australia
Age
11

We tried the problem out with trial and improvement and it turned out something like this:

R B R B R B R B R
5 5 1 6 3 3 2 4 2

3 wasn't a factor of 2 but 6 was so we switched 6 with 3 and then it looked like this:

R B R B R B R B R
5 5 1 3 3 6 2 4 4

And it worked! 5 was a factor of 5, 1 was a factor of 5 and 3, 3 was a factor of 3 and 6, 2 was a factor of 6 and 4, and 4 was a factor of 4!