Yes for example 26/2 = 13 which is an odd number
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The opposite of odd is even. If you divide a even or odd number with odd, you will still get a fraction, or a romander.
If you add, subtract, or multiply two even numbers, you will get an even number. If you divide an even number by another even number, you may get an even number, an odd number, or even a fraction.
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
All even numbers have 2 as a factor - that is in their definition No odd numbers have 2 as a factor - that is in theirs. Trying to divide 2, or any multiple of it, into a number that by definition cannot be divided by 2, is a hopeless endeavour. There is no guarantee that you can divide an even number by an odd one, but it is not impossible.
It depends on what you mean by "make." If you add, subtract, or multiply two even numbers, the answer is always an even number. But if you divide, the answer is not always even: 6/2 = 3 14/2 = 7