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60, 72, 84, 90 and 96 are the numbers up to and including 100 that have ten proper factors

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Q: Which numbers up to and including 100 have ten proper factors?
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Related questions

Which numbers less than 100 have even proper factors?

All even numbers greater than 2 have even proper factors, since they all have 2 as a proper factor.


Which numbers up to and including 100 have 10 proper factors?

60, 72, 84, 90 and 96


Which numbers less than 100 have odd proper factors?

Square numbers, like 36 and 64.


What numbers go into 100 equally?

Any of its factors including itself.


What are the proper factors of the numbers from 1 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).


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 the proper factors of 100?

The proper factors of 100 are 2, 4, 5, 10, 20, 25 and 50.


Is 9 over 100 in simplest form?

Since the numbers 9 and 100 share no common factors, the proper fraction 9/100 is already in its simplest form.


Which numbers on the 100 chart has the most factors?

60, 72, 84, 90 and 96 each have 12 factors.


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 two consecutive numbers less than 100 that have four proper factors?

44 and 45 75 and 76 98 and 99


How many proper factors does 100 have?

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