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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.
Why is any number raised to a even power positive?
A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.
What number when multipled by any odd number always results in an even number?
Any even number
Is even number times even number always even?
Yes, it is. Any whole number times an even number will be even. This is because whole numbers can be represented as the product of their prime factors. Every even number contains 2 as a prime factor (thereby excluding all even numbers above 2 from being prime.) Additionally, the product of any two numbers is equal to the product of their prime factors. This means that the result of multiplying an even number by a whole number will always have a prime factor of 2, making it an even number.
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 greatest common factor of any odd number and even number always even?
No, always odd.
Is the gcf of a odd number and an even number always even?
The GCF of an odd and even number is never even.
Does a pyramid always have an even number of sides?
Yes, because the number of sides of a pyramid is equal to the bottom face's number of edges times 2. Any number multiplied by two except zero is even.
Why is the sum of an odd or even number odd or even?
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.
Is any number divisible by 4 is it always even?
yes it can only be an even number
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.
When you multiply any number of even numbers will the product always be odd?
No, the product will always be even.
Why whenever you x's2 you get even number?
The same results from multiplying by ANY even number - the answer will ALWAYS be even !
