Q: Why do two odd numbers become an even number after addition?

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Sum of two odd numbers is always an even number.e.g. 1 + 7 = 8Explanation:The successor of an odd number is an even number and the successor is obtained by adding 1.Let us assume any odd number, say n.On adding 1(i.e. an odd number) to n we get an even number and again on addition of 1 or addition of 2(an even number) to n we get an odd number. If we continue to add like this we get to know that addition of two odd numbers is always an even number.

2 and 3 are consecutive prime numbers; therefore, such a concept does exist, but those are the only two consecutive primes. The reason there are not any others: natural numbers alternate between odd and even numbers. When the number is even, then 2 is a factor. The number 2 is the only even prime number (it's only factors are 2 and 1). All other even numbers have factors, in addition to 2 & 1. So if a number is prime, and the number is not 2, then it is an odd number. The two numbers on either side of an odd number are even. So if the prime number is greater than 3, then the two numbers on either side of it will be even numbers, which are not primes.

You can't. Adding any two odd numbers always gives an even number, which is not a member of the set of odd numbers.

Yes, they are.

asking that question is like asking how we know what 2 plus 2 there is no answerYes, there is an answer.To add even numbers is to add sets of two. When you add sets of two, you will always come up with another set of two. Addition of even numbers does not divide the set in two in half, which would result in an odd answer.In Algebra, ax + bx = (b+c)x. If x is two, then we have the addition of even numbers. The result, we see, is divisible by x-two-and thus be an even number.

Related questions

Yes, the sum of any two even numbers is an even number. This means they are closed under addition. Closure Property: For every even number a, for every even number b, a + b is an even number.

Yes, when you add any two even numbers, the result is always an even number.

Yes, when you add any two even numbers, the result is always an even number.

Addition of two odd numbers will always give an even number.

2 is the only even prime number because all other even numbers are divisible by 2, causing them to have a factor in addition to 1 and the number itself.

Sum of two odd numbers is always an even number.e.g. 1 + 7 = 8Explanation:The successor of an odd number is an even number and the successor is obtained by adding 1.Let us assume any odd number, say n.On adding 1(i.e. an odd number) to n we get an even number and again on addition of 1 or addition of 2(an even number) to n we get an odd number. If we continue to add like this we get to know that addition of two odd numbers is always an even number.

It depends on what the number is closed on. For example, even numbers are closed on addition. In other words for any two even numbers that are added, the sum is an even number. Numbers are closed if something applies to all the numbers included within a set. The set above includes only even numbers.

There is only one even prime number: 2. All other even numbers have 2 as a factor, in addition to 1 and themselves, so they cannot be prime numbers.

If you want to get an odd number as a result: * Add any even number with any odd number. * You can also add any three odd numbers, or two even number and an odd number.

Sometimes reversing prime numbers gets a composite number because if the number starts with a even number, when you switch it, it will become composite because all even numbers starting at two are composite.

The set of even numbers is closed under addition, the set of odd numbers is not.

2 and 3 are consecutive prime numbers; therefore, such a concept does exist, but those are the only two consecutive primes. The reason there are not any others: natural numbers alternate between odd and even numbers. When the number is even, then 2 is a factor. The number 2 is the only even prime number (it's only factors are 2 and 1). All other even numbers have factors, in addition to 2 & 1. So if a number is prime, and the number is not 2, then it is an odd number. The two numbers on either side of an odd number are even. So if the prime number is greater than 3, then the two numbers on either side of it will be even numbers, which are not primes.