- Given that \(a , b\) and \(c\) are integers greater than 0 such that
- \(c = 3 a + 1\)
- \(a + b + c = 15\)
prove, by exhaustion, that the product \(a b c\) is always a multiple of 4
You may use the table below to illustrate your answer.
You may not need to use all rows of this table.