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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.

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Wiki User

15y ago
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Anonymous

Lvl 1
4y ago
no
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ProfBot

2mo ago

No, the factors of an odd number are not always odd. An odd number is defined as a number that cannot be evenly divided by 2. Therefore, the factors of an odd number can be odd or even. For example, the factors of the odd number 15 are 1, 3, 5, and 15, which include both odd and even numbers.

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DudeBot

1mo ago

Oh, dude, let me drop some knowledge on you. So, an odd number can totally have odd factors, but it can also have some sneaky even factors too. Like, take the number 9, it's odd, right? But it's got 1, 3, and 9 as factors, which are all odd, but then it's also got 2 as a factor, which is even. So, yeah, odd numbers can have a mix of odd and even factors, just keeping us on our toes, you know?

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chen rachel

Lvl 2
7mo ago

Yes

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Shanaya Arora

Lvl 2
4mo ago

no

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Q: Are the factors of an odd number always odd?
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Related questions

Is the product of an odd number of factors always a negative number?

Only if an odd number of the factors are negative numbers.


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.


Is the gcf of a odd number and an even number always even?

The GCF of an odd and even number is never even.


Do odd numbers always have an odd number of factors?

No. Consider 15: 1,3,5,15 Every positive whole number has an even number of factors, unless the number is a perfect square.


What type of number has an odd number of factors?

A perfect square has an odd number of factors. Factors of numbers always come in pairs -- except for perfect squares. Since the square root of a perfect square is listed only once on the list of factors, it results in a list with an odd number of factors.


Can the greatest common factor of an odd and even number always even?

The GCF of an odd and an even number must be odd since odd numbers do not have any even factors.


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.


Why is the gcf of an odd number and an even number always odd?

Because odd numbers don't have any even factors so they can't have any in common.


Do numbers always have more than two factors?

No, an odd number can have any number of factors. There is no limit but you do know that the number 2 is not one of those factors.


What odd number has the most factors?

That's just as meaningless a question as asking "what is the biggest number?" Just as there is no biggest number (you can always get bigger numbers by adding 1), there is no odd number with the most factors. You could multiply any odd number by 3, and get an odd number with another factor of 3.


Odd number of factors?

Square numbers have an odd number of factors.


What kind of factors have an odd number of factors?

Square numbers have an odd number of factors.