2. The product of two even numbers is 2,020. What could their sum be? Find all solutions.
2. The prime factorization of the number 2020 is $2020=2 \cdot 2 \cdot 5 \cdot 101$.

2 POINTS

Every even number must have the number 2 in its prime factorization, so the remaining possibilities are:

(i) one of the two numbers is 2, and the other is $2 \cdot 5 \cdot 101=1010$. 1 POINT

Then their sum is $1012. \quad 1$ POINT

(ii) one of the two numbers is $2 \cdot 5=10$, and the other is $2 \cdot 101=202$. 1 POINT

Then their sum is 212. 1 POINT

TOTAL 6 POINTS