60, 72, 84, 90 and 96
60, 72, 84, 90 and 96 are the numbers up to and including 100 that have ten proper factors
All even numbers greater than 2 have even proper factors, since they all have 2 as a proper factor.
Square numbers, like 36 and 64.
Any of its factors including itself.
All of the numbers from 1 to 100 are the factors in the set of numbers from 2 to 100.
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 factors2: 13: 14: 1, 25: 16: 1, 2, 37: 18: 1, 2, 49: 1, 310: 1, 2, 5A 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).
Since the numbers 9 and 100 share no common factors, the proper fraction 9/100 is already in its simplest form.
The proper factors of 100 are 2, 4, 5, 10, 20, 25 and 50.
The factors of all of the numbers from 1 to 100 are all of the numbers from 1 to 50.
60, 72, 84, 90 and 96 each have 12 factors.
44 and 45 75 and 76 98 and 99
100 has nine factors.