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The proper factors of a number are all its factors except itself. Sometimes, the number 1 is also excluded. So, the proper factors of 6 are either 1, 2, and 3, or if excluding the number 1, they are 2 and 3. (If your instructor distinguishes between proper factors and proper divisors, then proper factors are all the factors of a number except 1 and itself, while proper divisors are all the factors of a number except itself, but often proper factors is the only term used, so check whether 1 is included in the definition you are using.)

The list of factors in the question "What are the factors of the numbers from 1 to 100" (see link below) includes both 1 and the number itself, but if you remove the number itself, and the 1 if it is excluded in the definition of proper factor that you are using, you will have the complete list of proper factors.

The prime numbers, which only have themselves and 1 as factors, are in bold in the list of factors on that page. Their proper factors are either the number 1, or if 1 is excluded, they have no proper factors.

Short List of Proper Factors:

As an example, here are the proper factors (including 1, which is sometimes used and sometimes not) for the first 10 numbers:

1: No proper factors

2: 1

3: 1

4: 1, 2

5: 1

6: 1, 2, 3

7: 1

8: 1, 2, 4

9: 1, 3

10: 1, 2, 5

A less unwieldy versionIn practice, it seems unlikely that anyone wants you to continue the above list to 100. (That would be 3 sides of handwritten A4 paper.) Maybe they only wanted to know which numbers appear in the list of proper factors. For example, the proper factors of numbers from 1 to 10 are 1, 2, 3, 4 and 5 (as you can see above).
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Q: What are the proper factors of the numbers from 1 to 100?
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What are factors of 1 to 100?

The factors of all of the numbers from 1 to 100 are all of the numbers from 1 to 50.


What are the factors of 2 to 100?

All of the numbers from 1 to 100 are the factors in the set of numbers from 2 to 100.


What are all the proper factors for 97?

The factors of 97 are 1 and 97. Prime numbers don't have "proper" factors.


What numbers do not include the number itself?

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Is 9 prime?

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. 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.


What are proper numbers?

You might be thinking of proper factors. Proper factors are just like the set of regular factors, except for 1 and the number itself.


How many proper factors does 100 have?

Nine proper factors: 1 2 4 5 10 20 25 50 100.


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41 is prime, therefore the factors are 1 and 41. Prime numbers don't have "proper" factors.


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13 is a prime number so the only factors are 1 and itself. Prime numbers have no proper factors.


Why are there 25 prime numbers from 1-100?

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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.


What are the factors for number 73?

Prime numbers don't have proper factors.