Give the prime factorization of 2020.

Give the prime factorization of 2021.
On a

$$
2020=2^{2} \times 5^{1} \times 101^{1}
$$

On a

$$
2021=43^{1} \times 47^{1}
$$

To help with the calculation in the second case, one can note that $45^{2}=2025$.