How do you know that a number can be divided by 6?

Answer 1

If the number can be divided by the "highest exponents of all the prime factors" of another number, it is divisible by that number.

For the number 6, any number that can be divided by 2 and by 3 can be divided by 6, because its prime factors are 2 and 3. Since 2 is a factor, you could also say "any even number divisible by 3".

Example : 15366 is divisible by 6 because it can be divided by 2 (even) and by 3 (=5122).

Confirming this, 15366 divided by 6 = 2561