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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.
Do all even numbers have only even numbers for factors?
At least one of the factors of an even number must be even, because the product of odd factors is always odd.
Is the greatest common factor an odd number and even number is always even?
No. Odd numbers only have odd factors. They could not have an even factor in common.
Is the gcf of a odd number and an even number always even?
The GCF of an odd and even number is never even.
What is the sign of the product of an odd number of negative factors?
even
Is all factors of 48 even or odd?
48 has both even and odd factors.
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.
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 odd numbers have a odd or even number of factors?
The number of factors can be either even or odd.
What type of number has odd numbers as factors?
Both odd and even numbers may have odd numbers as factors.
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 does 31 have odd or even number of factors pairs?
Odd.
Do odd numbers have an odd or even number of factors?
Both. 9 has three factors. 11 has two factors.
What is a number has an odd number of factors?
An even power. Square numbers have an odd number of factors.
Is the gcf of an odd and even number always even?
No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.
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.
