Key idea. A question asking whether something can happen is settled by one working example.

1. Try the three positive integers 1, 2 and 3. Their sum is \(1+2+3=6\).

2. Their product is \(1\cdot2\cdot3=6\), so it is equal to their sum.

3. All three numbers are positive integers, as required. We have checked every condition of the example.

Remember. One example proves that something is possible. We do not need to list every possible example.