A number is divisible by $3$ if

If the sum of the digits of a number is subtracted from the number, then the resulting number is always divisible by

The greatest $4$-digit number which is divisible by $8$ is

Write the smallest $4$-digit number using different digits and express it as a product of primes.

Write the greatest $4$-digit number using different digits. Express it as a product of primes.

A number is divisible by $15$. By what other numbers will that number be divisible? 

Write the prime factors of $1386$ in exponential form.

Find the digit which should replace $*$ in $23125*$ to make it divisible by $11$.

Among $57, 212, 117, 97, 315, 931$, identify the even numbers.