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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.
What numbers less than 100 with five identical prime factors?
Just 32.
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.
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.
Which even numbers less than 10 are factors of 20?
2 and 4
How many integers less than 60 have an even number of factors?
All but the square numbers - 53 of them.
What are two consecutive numbers less than 100 that have four proper factors?
44 and 45 75 and 76 98 and 99
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 numbers would have less than two factors?
Prime numbers
Are mixed numbers less than proper fractions?
No.
