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The number of factors can be either even or odd.

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8y ago

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What is the meaning of even and odd factors?

All nonzero numbers have factors. Some factors are even numbers, some factors are odd numbers.


What type of number has odd numbers as factors?

Both odd and even numbers may have odd numbers as factors.


What types of numbers has an odd number of factors?

Even powers of prime numbers. Square numbers have an odd number of factors.


What is a number has an odd number of factors?

An even power. Square numbers have an odd number of factors.


How are odd and even numbers are related to their factors?

Even numbers must have 2 amongst their factors; they may have other even numbers amongst their factors. Odd numbers must not; every factor of an odd number must be odd.


Do all numbers have an even number of factors?

No. Perfect square numbers have an odd number of factors.


Does composite numbers have an odd number of factors?

Composite numbers can have either an odd number or an even number of fractions. Factors of 25 are 1, 5, 25 . (odd number of them) Factors of 26 are 1, 2, 13, and 26 . (even number of them)


Can the GCF of an odd number and an even number ever be even?

No. Odd numbers don't have even factors.


Does every number have an even number of factors?

No, square numbers have an odd number of factors.


Do only square numbers have an even number of factors?

No, only square numbers have an odd number of factors.


When multiplying an odd number by an odd number why is the result odd?

The product of multiplication results in a number that has all of the factors of the two numbers being multiplied. All even numbers have the prime factor 2. Since no odd number has the factor 2, no product of those numbers can have it. So: - Odd numbers times odd numbers produce odd numbers. - Odd numbers times even numbers produce even numbers. - Even numbers times even numbers produce even numbers.


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.