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Q: What is the definition of a multiple number?

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An odd number

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

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.

A number that contains another number an integral number of times without a remainder

By definition a prime number is divisible only by itself and 1, so it can't be a multiple of any other number.

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.

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