$416$ $23$ is divisible by $11$. (Write the smallest possible digit in the blank)

A number that is only divisible by $3$ is also divisible by $9$.

Write true or false:

A number that is only divisible by $8$ is also divisible by $4$ and $2$.

Write true or false:

A number that is only divisible by $18$ is also divisible by $3$ and $6$.

A number with $4$ or more digits is divisible by $8$ if the sum of the digits is divisible by $8.$

Write true or false:

A number that is divisible by $4$ may not be divisible by $8.$

Which of the following number is divisible by $2$.

$\mathrm{8740,} \mathrm{169305,} 60667$

Which of the following number is divisible by $3$.

$\mathrm{236144,} \mathrm{1111,} 615381$.

Which of the following is not divisible by $4$?

$\mathrm{3948,} 571321, 44444$