Even numbers are numbers that can be divisible exactly by 2. In other words, these numerical values can be exactly split in half. For example, the number 44 can be split into two equal parts, 22 and 22. Whereas odd numbers cannot be divided by 2. Odd numbers cannot be split into two equal parts. For example, 43 cannot be split into two equal halves. In this article, we will look in detail at properties of even numbers, even prime numbers, even numbers 1 to 100, and the smallest even number.
Even numbers
- An even number should be exactly divisible by 2. [Example:4, 56, 98, 106, 1000, 50000, etc]
- Even numbers always end with the digits 0,2,4,6 and 8. [Example: 456, 78880, 75312, 78, 334]
- The numbers before and after an even number should be odd numbers. [Example: 2 is an even number, the number before (1) and number after (3) are both odd numbers.]
Even numbers 1 to 100
There are 50 even numbers between 1 to 100. 0 can also be considered as an even number, which makes it 51 even numbers in 0 to 100.
| 2 | 12 | 22 | 32 | 42 | 52 | 62 | 72 | 82 | 92 |
| 4 | 14 | 24 | 34 | 44 | 54 | 64 | 74 | 84 | 94 |
| 6 | 16 | 26 | 36 | 46 | 56 | 66 | 76 | 86 | 96 |
| 8 | 18 | 28 | 38 | 48 | 58 | 68 | 78 | 88 | 98 |
| 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
Properties of even numbers
- Adding two even numbers will always result in an even number.
Example: 4 + 6 = 10 ; 12 + 30 = 42; 34 + 34 = 68; 100 + 100 = 200; 500 + 700 = 1200
- Subtracting two even numbers will always result in an even number.
Example: 10 – 6 = 4; 44 – 10 = 34; 50 – 20 = 30; 100 – 50 = 50; 900 – 400 = 500
- Multiplying two even numbers will always result in an even number.
Example: 10 * 8 = 80; 5 * 10 = 50; 10 * 10 = 100; 20 * 2 = 40; 6 *4 = 24
Small even number
- 2 is the smallest even natural number.
- 0 is the smallest even whole number.
- Negative integers can also be even [For example: -2, -4, -6, -8, -10 etc.]. So, 2 is not the smallest even integer.
Even integers
Integers can be positive or negative. Integers can be categorized into even and odd numbers. Examples of even integers: -2, -4, -10, 10, 6, -6 etc.
Consecutive even numbers
We cannot have consecutive numbers as even. Every even number is followed by an odd number and every odd number is followed by an even number. To obtain the next even number we have to add 2 to the given number. Example: 2, 4, 6, 8, 10 ……
Even prime number
A prime number is any number that can only be divided by 1 and the number itself. We know that every even number can be divided by 2. So, they don’t qualify to be a prime numbers. But, 2 can be divided only by 2 and 1. So, 2 is the only even prime number. It is also the smallest even prime number.
Can a number be both even and odd at the same time?
No, a number cannot be even and odd both. It has to be divisible by 2 to be called even. If not, it is called an odd number.
What is the formula for even numbers?
The formula for even number be derived as 2x (where x = 0,1,2,3,4,5…..). We can generate a list of even numbers using this formula.
Can a number be called even if it is a multiple of 2?
Yes, every multiple of 2 can be divided by 2. So, they can be considered as even numbers.
Examples of even numbers in daily life
Image by Alexas_Fotos from Pixabay
- When we divide or cut an object, it always splits into two pieces. Another cut will result in four pieces, and so on.
- A vehicle generally has an equal number of wheels for a good balance. There are also tricycles and unicycles that have an odd number of wheels, but they are not very stable.
- Team sport has an equal number of players from both sides, which when added will always be an even number. For example, there are 22 players in soccer, cricket, hockey, and football. There are 18 players in baseball.
