1. ## Problem Solving

A 3x3 square is divided into 9 1x1 unit squares. Different integers from 1 to 9 are written into the squares. Consider pairs of numbers that share a commen edge.
What is the maximum number of pairs where one number is a factor of the other number?

Any help with this one would be greatly appreciated!

I did come up with 8 pairs, but i am not sure if it is correct!

Cheers

2. Originally Posted by hullywully
A 3x3 square is divided into 9 1x1 unit squares. Different integers from 1 to 9 are written into the squares. Consider pairs of numbers that share a commen edge.
What is the maximum number of pairs where one number is a factor of the other number?
Any help with this one would be greatly appreciated!
I did come up with 8 pairs, but i am not sure if it is correct!
Cheers
Hello,

I'm not sure that I understand your problem correctly. I assume that you want to know "What is the maximum number of pairs where one number is a multiple of the other number?"

If so:

1: each other number is a multiple of 1, thus you get 8 pairs
2: multiples(4, 6, 8) thus 3 pairs
3: multiples (6, 9), thus 2 pairs
4: multiple (8), thus 1 pair

Therefore I got 14 pairs