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# What is the difference between a factor and a multiple?

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The factors of a number are all the integers that can be multiplied together to produce that number. For example, 1, 2, 3 and 6 are all factors of 6. Multiples are all the numbers of which a given number is a factor.

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The possible multiples of any number are unlimited. For example, the multiples of 5 are all the numbers produced by multiplying 5 by another number, such as 5, 10, 15 or 20, which is an infinite series. While factors must be integers, multiples can be any kind of number. For example, 12(pi) is a multiple of both 12 and pi. A number that has no factors other than one and itself is called a prime number.

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## Related Questions

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A linear factor is the return on an asset in relation to a limited number of factors. A linear factor is mostly written in the form of a linear equation for simplicity.

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The prime factors of 56 are 2 x 2 x 2 x 7. Prime factors of an original number are prime numbers that — when multiplied together — give back the original number. Finding the prime factors of a number is called prime factorization.

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The positive number factors of the number 63 are: 1, 3, 7, 9, 21, and 63. The easiest way to find the factors of a number is through a series of equations that use basic division.