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Q: What is the difference between finding the factors of a number and finding the prime factors of a number?

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

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

That is called the difference between them.

The proper factors are the regular factors without one and the number itself.

Yes. Naming all the common factors is listing each factor that both numbers share. The GCF is the largest number from that list of factors.

Proper factors do not include one and the number itself.

The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 The prime factors of 72 are 2 and 3. Prime factorizations may contain repeated factors. When you list the factors, you only need to list them once.

17 If the number has only two factors, it must be a prime number. The only factors of 17 are 1 and 17. The difference between 1 and 17 is 16.

The difference is one.

All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.

The factors of a number include 1 and the number itself. The proper factors do not.

The difference is 4104.

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