0
YES
Even Number by definition any integer that can be divided exactly by 2.
To get an even number, multiply an integer by 2 or in mathematical statement it is 2n.
An even number (2x) is multiplied to any number (y) is 2x (y).
So, by associative principle of multiplication 2x(y) = 2 (x*y).
If (x*y) now represents any integer then 2(x*y)= 2n.
And 2n is an even number.
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Why is the product of two odd numbers odd?
Let me show this to you by an example : Suppose we wish to multiply 3 and 7. Product or Multiplication by any device is actually carried by the process of addition of 3 seven times, i.e. 3+3+3+3+3+3+3 = 21. Because the two numbers are odd, the result is always odd. To Summarize, addition of an odd number(i.e. 3) to itself an odd number of times(i.e. 7) always results in an odd number. The product of an even and an odd number always results in an even number because addition of even number any number of times is always even and an odd number added to itself an even number of times also results in an even number. For ex. 7*2 = 14, here 7(odd number) is added 2(even number) times, i.e. 7+7=14 which is even.
Why is the sum os an even and odd number a odd number?
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
Does the sum of three consecutive even numbers give you an odd or even number?
It will always give an even number, as adding any amount of even numbers always results in an even number.
What is zero times any number?
The answer is always 0.
Why is the gcf of an odd number and an even number always odd?
Because odd numbers don't have any even factors so they can't have any in common.
