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Last updated on July 5th, 2025

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Even Numbers

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If any numbers divisible by 2, they are called even numbers. These numbers help to count and divide items equally and play an essential role in mathematics and everyday life. In this topic, we will explore even numbers, their concepts, and properties in detail.

Even Numbers for UAE Students
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What are the Even Numbers?

Numbers that are exactly divisible by 2, without any remainder, are called even numbers. Even numbers are also multiples of 2. If a number’s last digit is 0, 2, 4, 6, or 8, then it is an even number. 0, 2, 4, 6, 8, 10, and 12 are the first few even numbers.

For example, let us divide an even number by 2.
10 ÷ 2 = 5


Here the quotient is 5, and there is no remainder. Hence, 10 is an even number.
 

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Difference Between Even and Odd Numbers

Even Numbers Odd Numbers
Even numbers are evenly divisible by 2. For example, 4  ÷ 2 
Quotient = 2
Remainder = 0 
 
Odd numbers are not precisely divisible by 2, as they leave a remainder of 1. For example, 
5 ÷ 2 
Quotient = 2
Remainder = 1
 
0, 2, 4, 6, or 8 can be the last digit of an even number.  1, 3, 5, 7, or 9 can be the last digit of an odd number. 
0, 2, 4, 6, or 8 can be the last digit of an even number.  1, 3, 5, 7, or 9 can be the last digit of an odd number. 
 
12, 14, 16, 18, and 20 are a few examples of even numbers.  11, 13, 15, 17, and 19 are a few examples of odd numbers. 
Even numbers can be paired into equal groups.

Odd numbers cannot be paired in a group of 2; one remains as a leftover. 

The product of multiplying two even numbers is even. It is represented by 2n (2 × n = even number) 

n can be any integer: positive number (1, 2, 3…), negative numbers (-1, -2, -3…), or zero. 

The result of 2n + 1 is an odd number. 

 

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How to Identify Even Numbers?

We can find even numbers using various methods. 

  • If we check whether a number is exactly divisible by 2, without any remainder, then the number is even.
    For instance, 76 ÷ 2 = 38 (it is an even number) 
    35 ÷ 2 = 17.5 (it is not an even number). 
     
  • If the last digit of a number ends in 0, 2, 4, 6, or 8, the number will be even. For example, 7632, 1000, 654, and 498 are even numbers. 

 

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Consecutive Even Numbers

Consecutive even numbers follow one another from the smallest to the largest values, and they increase by 2. The common difference between two consecutive even numbers is always 2. Here is a list of a few consecutive even numbers from 0 to 20. 
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20 are consecutive even numbers. 

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Even Natural Numbers

Natural numbers are a set of numbers that start from 1 till infinity such as 1, 2, 3, 4, and so on. Even natural numbers are the numbers that begin from 2 and are divisible by 2, without any remainder. The first few even natural numbers are 2, 4, 6, 8, and 10. The main difference between even numbers and even natural numbers is that even numbers start with zero, whereas even natural numbers start with 2. 
 

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How to Represent Even Numbers on Number Line

We use a number line to represent numbers in order. We can easily mark even numbers on this imaginary line by keeping the same difference between two even numbers, which means each number increases by 2.

 

For example, if we mark 0 as an even number and move 2 values forward, we reach the positive integer 2. Again, from 2, we jump and reach 4. This same pattern follows on the left side of the number line. Here is an image of even numbers on a number line. 

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What are the Properties of Even Numbers?

The properties of even numbers are listed below: 

 


 Property of addition of even numbers: 

  • If we add two even numbers the sum is always an even number. For example, 66 + 10 = 76.
     
  • If we add an even number and an odd number, the result will be an odd number. For instance, 55 + 12 = 67. 
     
  • If we add two odd numbers the sum is an even number. For example, 33 + 59 = 92. 

 

Property of subtraction of even numbers:

  • Subtracting two even numbers results in an even difference. For instance, 32 - 6 = 26.
     
  • When we subtract an even number from an odd number, the difference is odd. For example, 50 - 9 = 41.
     
  •  If we subtract two odd numbers, the difference will be an even number. For instance, 69 - 33 = 36. 

 

Property of Multiplication of Even Numbers:

  • The product of multiplying two even numbers is always an even number. For example, 12 × 54 = 648.
     
  • Multiplying an even number by an odd number also gives an even product. 
     
  • For instance, 10 × 3 = 30.

 

 

Property of Division of Even Numbers:

Even numbers can be exactly divided by 2 without a remainder. For example, 62 ÷ 2 = 31 (with the remainder 0).

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Common Mistakes and How to Avoid Them on Even Numbers

Understanding the properties and concept of even numbers helps us group items equally and make fair distributions. However, students make some mistakes when they deal with even numbers. Here are some common errors and helpful solutions to avoid them

Mistake 1

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Assuming Zero is Not an Even Number

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 Students should memorize that zero is considered as an even number. Even are precisely divisible by 2 without any remainder. For example, 0 ÷ 2 = 0. Hence, it is an even number. So, when dealing with even numbers keep in mind that zero is an even number; otherwise, kids may draw wrong conclusions.  

Mistake 2

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Thinking Only Positive Numbers Can Be Even

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Remember that there is no rule for even numbers that states only positive numbers are even. Both positive and negative numbers can be even. Sometimes, kids mistakenly think that all negative numbers are not even. However, if a negative number is divisible by 2, it is an even number. For instance, -6 ÷ 2 = -3. Thus, -6 is an even number.

Mistake 3

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Forgetting that the Sum of Two Even Numbers is Even

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Students should keep in mind that if they add two even numbers the sum will be an even number. Sometimes, they think the sum of even numbers may be either even or odd. This is incorrect, there will always be an even sum. For example, 6 + 4 = 10
26 + 88 = 114. 
 

Mistake 4

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 Confusing Even Numbers with Odd Numbers

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Kids should learn the difference between even and odd numbers and they should understand the properties of both numbers. The last digits of even numbers are 0, 2, 4, 6, or 8, whereas the last digits of odd numbers are 1, 3, 5, 7, or 9. For instance,
 Even numbers: 12, 36, 78, and 94.
Odd numbers: 11, 35, 69, and 83.
 

Mistake 5

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 Ignoring That the Product of Two Even Numbers is Even

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Sometimes, students forget that the product of two even numbers is always even and mistakenly assume the product will be an odd number. If they multiply two even numbers the result will be an even number. For example, 12 × 10 = 120 (Even)
64 × 86 = 5504 (Even)
 

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Professor Greenline from BrightChamps

Real-life Applications of Even Numbers

Even numbers are helpful in our daily life calculations and mathematics, as they help organize and group items equally. Here are some real-world applications of even numbers: 
 

  • We can use even numbers to divide items, money, or time equally and fairly distribute them among us. For example, if we have $1000 among 10 people, we can equally distribute it so that each one gets $100. 
     
  • Managers can schedule the work shifts for their employees accordingly using even numbers. For example, if there are 6 employees in a company, the manager can schedule the day among them, and each employee should work for 4 hours a day. 
     
  • Sports coaches and players can form groups with even numbers of players to ensure the number of players is balanced and plan their matches wisely. For instance, in a basketball match, there are a total of 10 players on the court. 
     
  • Engineers can use even numbers to divide and design structures in their work. Ensuring proper balance and stability. For example, engineers can divide a 586 sq ft house into two equal parts for easier management. 
     
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Solved Examples of Even Numbers

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Problem 1

Which of the following numbers are even? 56, 39, 22, 65, 90, 71

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The even numbers from the given list are 56, 22, and 90.

Explanation

A number is even if its last digit is 0, 2, 4, 6, or 8.
Now we can list the even numbers: 
56 → Ends in 6 (even)
39 → Ends in 9 (odd) 
22 → Ends in 2 (even) 
65 → Ends in 5 (odd) 
90 → Ends in 0 (even)
71 → Ends in 1 (odd) 
56, 22, and 90 are the even numbers from the given lis
 

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Max, the Girl Character from BrightChamps

Problem 2

Find the sum of the even numbers: 26, 54, 88.

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168

Explanation

First, we must add the first two numbers
26 + 54 = 80
Next, add the third number:
80 + 88 = 168
Thus, the sum of the even numbers 26, 54, and 88 is 168.
 

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Max, the Girl Character from BrightChamps

Problem 3

Mary had 32 oranges. She gave away 15 oranges. Does she have an even number of oranges left?

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No, Mary does not have an even number of oranges left.

Explanation

Mary had 32 oranges at first. She gave away 15 oranges. To find out how many oranges she has left, we subtract:


32 - 15 = 17


Here, 17 is the answer.

To determine whether 17 is an even number, we can check the last digit of the obtained answer. 


A number is even if its last digit is 0, 2, 4, 6, or 8.


Hence, 17 is not an even number. 


Thus, she has an odd number of oranges (17).
 

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Max, the Girl Character from BrightChamps

Problem 4

Allen had 48 books on his shelf. He removed 22 books. Will the remaining number of books be even?

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Yes, the remaining number of books (26) is an even number.
 

Explanation

 Allen had 48 books.


Then he removed 22 books from the shelf.

So, we must determine if the remaining number of books is even.

For that, we must subtract: 
48 − 22 = 26


There are 26 books left.

 
Next, we can check if 26 is an even number. 


If a  number ends in 0, 2, 4, 6, or 8 and is divisible by 2, it is considered even.


The number 26 ends in 6, which means it is even.

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Max, the Girl Character from BrightChamps

Problem 5

How many even numbers are there between 10 and 30?

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 There are 11 even numbers between 10 and 30, including 10 and 30. 
 

Explanation

Even numbers are those that are divisible by 2. The even numbers between 10 and 30 are:

10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
There are 11 even numbers.
 

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FAQs of Even Numbers

1.Define even numbers.

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2.Is zero an even number?

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3.Which number is the smallest positive even number?

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4.Differentiate odd and even numbers.

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5.How can children in United Arab Emirates use numbers in everyday life to understand Even Numbers?

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6.What are some fun ways kids in United Arab Emirates can practice Even Numbers with numbers?

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7.What role do numbers and Even Numbers play in helping children in United Arab Emirates develop problem-solving skills?

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8.How can families in United Arab Emirates create number-rich environments to improve Even Numbers skills?

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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