Are the factors of an odd number always odd?

Answer 1

Yes, the factors of an odd number are always odd. this is because, even * anything = even. Always. So, we can never get an odd number by multiplying something in an even number. which means factors of odd number are always odd.

For example, 21 is odd. so factors of 21 are = { 1, 3, 7, 21 }. all of which are odd numbers.

Answer 2

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.

Answer 3

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.

Answer 4

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?

Answer 5

no

Answer 6

Yes