One number is divisible by another number if that division results in an integer.
See definition of polynomial and monomials. You will see.
The definition of divisible is "found everywhere".
2
Prime numbers are by definition only divisible by 1 and itself.
Because any number to left of the last two digits is, by definition a multiple of 100, and as that (100) is of course divisible by 4, then they can be disregarded when checking to see if the whole number id divisible by 4
By definition, prime numbers can only be divisible by one and themselves, so no.
That is because, by definition, an even number is one that is divisible by 2.
It is a multiple of 6. There are an nfinite number of them and so cannot be listed. Each of these will be divisible by 6 (by definition). They will also be divisible by 2 and 3.
No prime numbers are divisible by 3. By definition a prime number isn't divisible by anything but itself and 1.
There are no odd multiples of 6. If a number is a multiple of 6 then it is divisible by 6. If a number is divisible by 6 it is also divisible by 2 and 3 (see the fundamental theorem of arithmetic). If a number is divisible by 2 then it is even by definition. Therefore any number divisible by 6 is even.
Because you can subtract a whole number of sevens from 2275 and not leave a remainder. That is one definition of "divisible".
The definition of an even number is a number that is divisible by 2. Thus ALL even numbers are evenly (sic) divisible by 2.