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Odd and even numbers are whole numbers (integers) such as 1,2,3 etc...
If an integer is divisible by "2" without leaving a remainder (i.e. it will result in an integer) then it is even.
If an integer will not result in another integer when divided by 2 then it is odd.
Examples:
2 & 4 are even as: 2/2 = 1 and 4/2 = 2 (both results are whole numbers)
1 & 3 are odd as: 1/2 = 0.5 & 3/2 = 1.5 (neither result is a whole number).
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What is an odd number multiplied by an odd number?
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
Are fractions odd or even?
According to the definition, their odd. None of them can be divided by two evenly. A number must be divided by two evenly to be even.
Does multiplying an odd number by an even number give an even answer?
odd * odd = odd answer even * even = even answer odd * even = even answer
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.
Is the sum of an odd number and an even number odd or even?
Odd
