There is no such pattern because there are no even odd numbers. Odd numbers, by definition, are odd and therefore, not even.
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.
No. For example, 5+5=10.
Square numbers have odd numbers of factors. Examples: 4, 9, 16
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
There is no such pattern because there are no even odd numbers. Odd numbers, by definition, are odd and therefore, not even.
There are infinitely many odd numbers that are prime. Take any set of odd numbers greater than 1. Their product will be odd and, by definition, it will be composite. For example, 3*5*13 = 195.
No. For example, 5 is an odd integer and 3 is an odd integer, yet 5/3 is neither an integer nor odd (as odd numbers are, by definition, integers).
even- equal odd- numbers like 3,5,7,9,11,etc.
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.
No. For example, 5+5=10.
The GCF of any two odd numbers is also odd.
Odd numbers are those of the form 2k+1 for some integer k.
A definition of an odd number is 2n-1 where n is any integer. The product of two odd numbers is thus (2n-1)(2p-1) for any numbers n and p. Expanding the expression yields 2(2pn -(p+n)) + 1. The term on the left is even by definition. Adding 1 to any even number is, by definition, an odd number. Therefore, the conclusion is elementary (Watson); the product of two two odd numbers is an odd number
I guess you mean "product" - the product of two odd numbers is odd. (For example, 3x3=9, 5x3=15, etc.
All odd numbers are not evenly divisible by 7. Try 11, for example.
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.