What are even Numbers?
Even numbers are numbers that are completely divisible by 2. The last digit of an even number is either 0, 2, 4, 6 or 8. The examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16, and so on.
We can also define an even number as a number that can be divided into two equal parts.
For example: 2 = 1 + 1, 4 = 2 + 2 and 10 = 5 + 5.
How do we know that a Number is Even or Odd?
An even number can be shown in two equal parts whereas an odd number cannot be shown in equal parts.
In the image, the blocks are in equal parts. Hence, it represents an even number which is ‘8’.
In the image here, the blocks are not in equal parts. Hence, it represents an odd number that is ‘7’.
List of even Numbers Up to 100
Here is a chart that shows us a list of even numbers from 1 to 100.
Solved Examples
Example 1: In the following model, identify whether the number of blocks represents an even number or an odd number.
Solution:
As we can see, the model has two parts, one with 6 cubes and the second with 5 cubes. So the two parts are unequal.
The total number of cubes is 6 + 5 = 11.
So, the number represented by the model, 11, is an odd number.
Example 2: Alexis bought 16 candies for her two friends. Can she distribute them equally between her friends?
Solution:
Number of candies = 16
16 is an even number. So, 16 candies can be divided equally into two parts.
Hence, Alexis can distribute 16 candies equally between her two friends.
Example 3: Are the following numbers even or odd?
i) 17 ii) 22 iii) 34
Solution:
i) 17 is not an even number as its last digit, 7 (ones place) is not an even number. The number doesn’t break into equal parts as well. Hence, 17 is an odd number.
ii) 22 is an even number as its last digit, 2 is an even number. The number breaks into equal parts as well. Hence, 22 is an even number.
iii) 34 is an even number as its last digit, 4 is an even number. The number breaks in equal parts as well. Hence, 34 is an even number.
0 is considered an even number as it is divisible by 2 with 0 as the quotient.
The count of even numbers is not limited to 100 but it’s a continuation and hence the list is endless.
2 is the only even prime number.
The last digit of 98 is 8, which is even. Hence 98 is an even number.