a number that can be divided by another number without a remainder
An odd number
a number that can be divided and leave no remainder.
By definition, you can multiply 6 by any whole number, and you get a multiple of 6.
A number that can be divided by another number without a remainder.
That's the definition of a multiple.
Multiplication
That's the definition of a multiple.
That's the definition of a multiple.
By definition a prime number is divisible only by itself and 1, so it can't be a multiple of any other number.
A number that contains another number an integral number of times without a remainder
You could say that a prime number is also a multiple of 1. A good definition of prime number is: "a natural number with exactly two distinct factors". This definition explains why 1 is not a prime number.
If you mean "each of its factors", then you might say "by definition". If a number is a factor of another number, then that means that the other number is a multiple.