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Q: What is the difference between the factor of a number and a proper factors of a number?

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The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.

All numbers have factors. Some factors are prime numbers, some are not.

Prime factors are factors that are prime. For example, 13 is a prime number and 13 is a factor of 26. So that means 13 is a prime factor.

The greatest common factor, or GCF, is the largest number in the set of common factors.

Factors go into numbers, numbers go into multiples. A multiple is divisible by a number, a number is divisible by a factor.

The factor list will be finite, the multiple list will be infinite.

A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.

Well, the factors of a prime number is that they only have two factors.

Factors go into the number. The number goes into multiples.

The factors of 6 are 1,2,3 and 6. The proper factors of 6 are 2 and 3. Factors of a number include the number itself and 1, proper factors don't include them.

No difference. Once you've found the factors of a number, the prime numbers on that list are the prime factors.

A factor is a number or algebraic expression by which another is exactly divisible. A multiple is a number that can be divided by another number without a remainder. Factors go into numbers, numbers go into multiples.

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