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Yes. Suppose you are multiplying two even numbers, A and B. Then make B odd by adding 1.
You can represent any even number as 2*x. So let's rewrite A*B as (2*x) * (2*y +1)
Which is 2*x*2*y + 2*x
which is 2*(x*2*y+x)
Which is of the form 2*(something) which has to be even.
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Is an odd number times an eveen number always even?
Yes. Odd times odd is odd. Odd times even is even. Even times even is even.
When you times an odd by an even do you always get an odd number?
No. In fact, you NEVER get an odd number.
What is even times even equal?
even times even = even odd times odd = odd even times odd = even
Is sum of odd numbers always even?
The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc
When you add to even numbers is the answer always even?
Yes. Even + Even = Even, Odd + Odd = Even and Even + Odd or Odd + Even = Odd
Is an odd number times an eveen number always even?
Yes. Odd times odd is odd. Odd times even is even. Even times even is even.
When you times an odd by an even do you always get an odd number?
No. In fact, you NEVER get an odd number.
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.
Is even times even odd?
even times even = even odd times even = even odd times odd = odd
Why is odd times odd numbers always odd numbers?
In the same way that and odd plus and even is always odd. For example, 7*3 = (7+7) odd + odd = even , then add +7, apply rule that odd + even = odd and get that it equals 21.
Is even times even?
even times even = even odd times even = even odd times odd = odd
What is even times even equal?
even times even = even odd times odd = odd even times odd = 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.
Is sum of odd numbers always even?
The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc
Is the GCF of any two even numbers is always even?
The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.
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.
Is the sum of two odd numbers is always odd?
The sum of two odd numbers is always even.
