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What is an even number less than 100 it has an odd numbers of factors and the sum of the two digits that make up the number is 10?
64
How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product of the numbers explain?
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.
What are all the numbers less than 100 with exactly 3 factors that are prime?
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
Which numbers are not composite numbers?
Composite numbers have more than two factors. So, the numbers which have two or less than two factors are not composite numbers. Numbers which have exactly two factors are prime numbers. 1 is an exceptional case because it is neither prime nor composite since it has only one factor which is 1.
What numbers less than 100 with five identical prime factors?
Just 32.
The sum of the proper factors of 4 is less than 4 List all the numbers through 50 for which the sum of its proper factors is one less than the number itself?
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.
Which numbers less than 100 have odd proper factors?
Square numbers, like 36 and 64.
What whole number which is odd less than a hundred has the most factors as the even number?
There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!
What are all the numbers less than 100 that have odd proper 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.
What are two consecutive numbers less than 100 that have four proper factors?
44 and 45 75 and 76 98 and 99
How many integers less than 60 have an even number of factors?
All but the square numbers - 53 of them.
Which even numbers less than 10 are factors of 20?
2 and 4
Is the greatest common factor of any 2 odd numbers odd?
Not only can they, but they must. An odd number cannot have an even factor. So none of the factors of either of the two odd numbers can be even and so the GCF is made up of only odd factors and so it must be odd.
What odd number less than 100 has 12 factors?
None The even numbers 60, 72, 84, 90, and 96 each have 12 factors
What numbers that are less than a hundred have proper factors that are only odd numbers?
Numbers that are prime can't be multiples of 10. Multiples of 10 can't be odd.
What do you think is the next number greater then 50 for which the sum of its proper factors is less than the number its self?
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.
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).
