Determine the largest prime number that is required to test as a divisor to find whether $397$ is a prime number or not.

Test the divisibility of the following number by $2$

$367146$

Test the divisibility of the following number by $2$.

$42990$

Test the divisibility of the following number by $2$.

$567298$

Test the divisibility of the following number by $2$.

$34503$

Test the divisibility of the following number by $2$.

$29601$

Test the divisibility of the following number by $2$.

$12964$

Test the divisibility of the following number by $3$.

$73101$

Test the divisibility of the number $16422$ by $3$.