That means that one number is a factor of the other number, but that it's not the number itself.
For example: the factors of 9 are 1, 3, and 9.
The proper factors of 9 are 1 and 3.
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A proper factor of a natural number n, is any number p such that 1 < p < n and p divides n (without remainder). Clearly, n must be a composite number for it to have a proper factor.
Prime numbers don't have proper factors.
No 9 is not prime. It's factors are 1,3,9. Proper factors: 1,3. Factors are numbers that are multiplied with other numbers to get a product. Proper factors are factors of a number except for itself. Composite numbers are numbers with more than 2 factors and more than 1 proper factor. Prime is the opposite of composite.
13 is a prime number so the only factors are 1 and itself. Prime numbers have no proper factors.
47 is a prime, so its only factors are 1 and 47. Prime numbers don't have "proper" factors.
Prime numbers have two factors. The sum of their proper divisors is always 1.