Suppose m and n are integers. Then 2m + 1 and 2n +1 are odd integers.(2m + 1)*(2n + 1) = 4mn + 2m + 2n + 1 = 2*(2mn + m + n) + 1
Since m and n are integers, the closure of the set of integers under multiplication and addition implies that 2mn + m + n is an integer - say k.
Then the product is 2k + 1 where k is an integer. That is, the product is an odd number.
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Yes, it is.
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.
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.
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/
In the arts of mathematics, any whole number which is not a multiple of 2 is called as an ODD NUMBER.Example : 4 is not an odd number, because 4 is 2 times 2 , similarly 8 is 4 times 2 , such multiples of 2 are called even numbers.Your Number : 7110 is 3555 times 2, so it is not an odd number and hence an even number.