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Q: Which numbers less than 100 have even proper factors?

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The numbers for which the sum of its proper factors is 1 less than the number is the powers of 2; less than 50 these are: 2, 4, 8, 16 & 32.

Square numbers, like 36 and 64.

The composite odd numbers from 9 to 99.

There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!

No. Odd numbers can't have any even factors, much less a GCF.

No odd number less than hundred has 12 factors other numbers which has 12 factors are 60, 72, 84, 90 and 96. But they all are even numbers. The answer will be different if you consider negative numbers, however.

All but the square numbers - 53 of them.

By some definitions prime numbers don't have proper factors. In other definitions, their only proper factor is 1. Either way, your answer is the next prime number after 50, which would be 53.

None The even numbers 60, 72, 84, 90, and 96 each have 12 factors

There are 10 numbers less than 101 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100.

Abundant, deficient and perfect numbers are determined by the sum of the proper divisors (or factors) of a number, which excludes the number itself. The factors of 76 are : 1,2,4,19,38,76 . . . after excluding the number itself the sum of the proper divisors is :- 1+2+4+19+38= 64 Deficient numbers occur when the sum of the proper divisors is less than the number itself. As 64 is less that 76 then it is deficient.

44 and 45 75 and 76 98 and 99

If the two numbers have no prime factors in common, their LCM will be their product. If there are prime factors in common, their LCM will be less than their product.

An infinite number of even numbers are less than 10.

Prime numbers

set of all even natural numbers less than 9 Answer = {1,2,3,4,5,6,7,8}

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.

No.

64

2 and 4

The proper factors of a number are all the factors less than itself, so the proper factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, and 63. In some cases, the number 1 is excluded from the list of proper factors, too.

Nine numbers.

Perfect squares have odd numbers of factors. The perfect squares less than 100 are: 1,4,9,16,25,36,49,64,81,100. 64 seems to fit both criteria.

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).