0
One subset is prime numbers, since their factors are only 1 and the number itself.
Other than that, there are many ways to end up with an even number of factors.
The general equation for the number of factors is (p1+1)(p2+1) ... (p3 + 1) where the p values are the exponents of the prime factors of the number. So, as long as at least one prime factor is represented oddly (i.e., there is only 1, 3, 5... so on factors of that value in the prime factorization), then the number will have an even number of factors.
Add your answer:
Earn +20 pts
What is the meaning of even and odd factors?
All nonzero numbers have factors. Some factors are even numbers, some factors are odd numbers.
Why do some of the factor rainbows have an even number of factors and some have an odd number of factors?
Factor rainbows display the prime factors of a given number. Some numbers, Like 27, have an odd number of prime factors. Some numbers, like 81, have an even number of prime factors.
What does even factor mean?
In mathematics, all nonzero numbers have factors. Some factors are even numbers, some are odd. An even factor is a factor that is an even number.
Does even or odd numbers have more factors?
Some even numbers have more factors than some odd numbers and some odd numbers have more factors than some even numbers. As a group, even numbers have more factors than odd numbers.
Do odd or even numbers have more factors?
Some even numbers have more factors than some odd numbers and some odd numbers have more factors than some even numbers. As a group, even numbers have more factors than odd numbers.
Are every even number has at least two factors?
Every even number but 2. Even numbers have 2 as a factor (by definition), so higher even numbers can be separated into two factors, 2 and some other number. For example, 6 = 2 x 3.
What is the difference between prime factor and factors of number?
All numbers have factors. Some factors are prime numbers, some are not.
What is the difference between factors of a number and prime factors of a number?
All numbers have factors. Some factors are prime numbers. These are known as prime factors. The set of prime factors is a subset of the set of factors for any given number.
How is prime factorization different from finding factors of a number?
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
Are the factors of an odd number always odd?
Yes. An even number is defined as being evenly divisible by 2 (no fractional answers, only integers). If an odd number has an even factor, then because of the above definition, this odd number must have a factor of 2. But you will be hard pressed to find an odd number that is a multiple of 2, because that is already the definition of an even number. So, odd numbers cannot have even factors and thus odd numbers always have odd factors.
What is the meaning of composite factor?
All numbers have factors. Some factors are prime numbers, some are composite numbers. A factor that is a composite number is a composite factor.
What is a prime number for a 3 grader?
All numbers have factors. Some numbers have only two factors, the number one and the number itself. These are known as prime numbers. 7 has two factors: 1 and 7. 7 is a prime number.
