Even numbers are ones that are divisible by two and may be split into two equal groups or pairs. 2, 4, 6, 8, 10, and so on are some examples. Assume you have ten candies. These candies may be separated into two equal groups, each having five candies. As a result, ten is an even number. However, because 11 candies cannot be grouped in this way, 11 is not an even number. We’ll look at some additional intriguing approaches to grasp even numbers, their qualities, and interesting facts about them on this page.
What are Even Numbers?
A number that is a multiple of two is called an even number. Any integer that is totally divisible by two is considered an even number. With the assistance of an example, this may be understood. Assume John has six balls. He can couple all six balls and establish three pairs if he attempts to group them. There aren’t any balls that haven’t been matched. As a result, he may deduce that six is an even number. Let’s split 6 by 2 now. We obtain 3 as the quotient, which is equal to the number of pairs produced. The remainder is equal to the number of balls that cannot be matched, which is 0. John will be left with no ball if he tries to couple an even number of balls. To put it another way, anytime an even integer is divided by 2, the residue is always 0.
Odd and Even Numbers
Even and odd numbers are two types of whole numbers. Numbers that are not totally divisible by two are known as odd numbers. Even numbers, on the other hand, are totally divisible by two. Let’s go over a list of all the even numbers in the range of one to two hundred. Take note of the numbers in the table below. Is there a pattern or link between all of the even numbers from one to two hundred?
List of Even Numbers (1-200)
Let’s examine what happens if we combine different combinations of odd and even integers together. When odd and even numbers are combined together, we shall observe how the numbers transform from odd to even. Make a list of the results you obtain.
|Number 1||Number 2||Number 1 + Number 2 = Sum|
|4 [Even]||8 [Even]||4 + 8 = 12 [Even]|
|7 [Odd]||3 [Odd]||7 + 3 = 10 [Even]|
|1 [Odd]||6 [Even]||1 + 6 = 7 [Odd]|
|2 [Even]||9 [Odd]||2 + 9 = 11 [Odd]|
Let us summarize the result:
Properties of Even Numbers
Let us have a look at the different properties of numbers like addition, multiplication, and subtraction and the way an even number behaves in such cases:
Property of Addition of Even Numbers
- The sum of two even numbers is an even number. For example, 14 + 8 = 22
- The sum of an even number and an odd number is an odd number. For example, 8 + 9 = 17
- The sum of two odd numbers is an even number. For example, 13 + 7 = 20
Property of Subtraction of Even Numbers
- The difference between two even numbers is an even number. For example, 42 – 8 = 34
- The difference between an even number and an odd number is an odd number. For example, 22 – 7 = 15
- The difference between two odd numbers is an even number. For example, 35 – 15 = 20
Property of Multiplication of Even Numbers
- The product of two even numbers is an even number. For example, 12 × 4 = 48
- The product of an even number and an odd number is an even number. For example, 8 × 5 = 40
Even Prime Numbers
The number 2 is the only even prime number. Because all other even numbers are divisible by two, they cannot be prime numbers, which have just two factors: one and the number itself. As a result, there is only one even number.