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Suppose m and n are integers. Then 2m+1 is an odd number and 2n is an even number.(2m + 1) * 2n = 4mn + 2n = 2*(2mn + 1).
Since m and n are integers, the closure of the set of integers under multiplication and addition implies that 2mn + 1 is an integer. Thus the product is a multiple of 2: that is, it is even.
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What is the product of and even number and an odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even times odd is odd.
What is the product of a even a odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even times odd is even/
Will the answer to an even number times an odd number be even or odd?
it would be even. for example 2 times 3 equals 6 and 11 times 20 equals 220 so it would be even
Is the sum of two square consecutive numbers an odd number?
Yes. One has to be the square of an odd number. The other square has to the the square of the even number either before or after the odd number. If this is confusing just plug in real values. In either case, an odd times and odd is odd. Therefore one of the squares has to be odd. AN even times an even, however, is always even. Therefore, the second square has to be even. Thus, one of the squares is even and the other is odd. An even plus and odd is always odd.
The product of odd numbers is always even?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times odd is always odd.
