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# Even Numbers For Children To Improve Math Skills

Ever since the modern world has existed, numbers have played a very crucial role in our day-to-day lives. Even in ancient times, different civilizations had different symbols for numbers. The key takeaway is that every civilization had some form of the number system in place to make life easier. We have come a long way from those days, and now we have a universal number system in place which allows us to communicate globally. Numbers can be categorised on the basis of different stances. One such categorisation is even and odd numbers. Even and odd numbers are the most basic form of categorization that children are taught in school. In this article, we will study even numbers in maths. So, hold tight and let the countdown begin!

## What Are Even Numbers?

A simple definition of even numbers is as follows:

If a whole number is divided by 2 and it leaves no remainder, then the number is called an even number. Whole numbers are classified into even and odd numbers.
You can also define even numbers as a number that can be divided into two equal groups or pairs without leaving any remainder.

When you observe, you will notice that all the alternate numbers are even. In other words, to list down consecutive even numbers, you need to skip alternate numbers from the natural numbers.

For example,

1. If we divide 4 by 2 . i.e., 4 ÷ 2 = 2
Here we see that 4 is completely divisible by 2, and the remainder is 0. So, 4 is an even number.

2. If we divide 66 by 2 . i.e., 66 ÷ 2 = 33
Here we see that 66 is completely divisible by 2, and the remainder is 0. So, 66 is an even number.

3. If we divide 87 by 2 . i.e., 87 ÷ 2 = 46 (2) + 1
Here we see that 87 divided by 2 leaves behind a remainder of 1. So, 87 is an odd number.

In more mathematical form, we can say that an even number can be defined as an integer that takes the form of n=2k, where k is an integer (which implies that it can be both positive and negative).

## Why It Is Important For Children To Learn About Even Numbers?

Like everything else that we learn in school, learning about even numbers helps us prep for the more complex theories that we are taught later in school. Building a strong foundation for anything is key to ensuring that whatever goes on top of it is strong too. Creating a strong foundation with simple theories, such as even and odd numbers, help create a strong foundation for your child. Later on, when they learn more complex properties such as multiplication and division, this foundation plays a vital role. Understanding the basics helps make us understand the more complex things in a better way. Hence, it is important for children to learn about even numbers.

## How To Identify Whether The Number Is Even Or Odd?

It is quite simple to identify whether a given number is even or odd. The easiest way of doing this is by checking the unit place of the given number. If the unit place digit is 0,2,4,6, or 8, the given number is an even number.

If you wish to further check your findings, you can divide the number by 2. If the remainder is 0, the given number is an even number.

For Example:

1. 5678
Here, we can see that the unit’s place digit is 8. This means that the given number is an even number. But to check this, we will divide the number by 2.
5678 ÷ 2 = 2839

The given number is completely divisible by 2 and leaves behind no remainder. Hence, the given number is an even number.

2. 987642
Here, we can see that the unit’s place digit is 2. This means that the given number is an even number. But to check this, we will divide the number by 2.
987642 ÷ 2 = 493821

The given number is completely divisible by 2 and leaves behind no remainder. Hence, the given number is an even number.

3. 2345
Here, we can see that the unit’s place digit is 5. This means that the given number is an odd number. But to check this, we will divide the number by 2.
2345 ÷ 2 = (1172 x 2) + 1
The given number is not completely divisible by 2 and leaves behind a remainder of 1. Hence, the given number is an odd number.

## List Of Even Numbers Upto 200

Here is a chart of even numbers upto 200.

### Even Numbers (1 to 100)

 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100

### Even Numbers (1 to 200)

 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200

## Important Properties Of Even Numbers

There are three important properties of even numbers:

• Subtraction
• Multiplication

Addition is the operation of adding two numbers together. This operation can happen between any two numbers regardless of their properties.

• When adding even and odd numbers, the resulting number is always odd.
For Example:
7 + 6 = 13
13 + 14 = 27
• When adding even and even numbers, the resulting number is always even.
For Example:
12 + 16 = 28
46 + 44 = 90
• When adding odd and odd numbers, the resulting number is always even.
For Example:
15 + 5 = 20
61 + 21 = 82

### Property 2 – Subtraction

Subtraction is the operation of subtracting two numbers together. This operation can happen between any two numbers regardless of their properties.

Properties of Subtraction:

• When subtracting even and odd numbers, the resulting number is always odd.
For Example:
7 – 6 = 1
23 – 14 = 9
• When subtracting even and even numbers, the resulting number is always even.
For Example:
16 – 8 = 8
46 – 44 = 2
• When subtracting odd and odd numbers, the resulting number is always odd.
For Example:
15 – 5 = 10
61 – 21 = 40

### Property 3 – Multiplication

Multiplication is the operation of multiplying two numbers together. This operation can happen between any two numbers regardless of their properties.

Properties of Multiplication:

• When subtracting even and odd numbers, the resulting number is always odd.
For Example:
7 x 6 = 42
23 x 14 = 322
• When multiplying even and even numbers, the resulting number is always even.
For Example:
16 x 8 = 128
46 x 44 = 2024
• When multiplying odd and odd numbers, the resulting number is always odd.
For Example:
15 x 5 = 75
61 x 21 = 1281

## What Is The Difference Between Odd And Even Numbers?

There are a lot of differences between odd and even numbers. Some are:

• Even numbers are of the form n = 2k, whereas odd numbers are of the form n = 2k + 1.
• Even numbers are completely divisible by 2, whereas off numbers leave behind a remainder of 1.
• The unit place digit of even numbers is 0,2,4,6, and 8. The unit place digit of odd numbers is 1,3,5,7, and 9.

## Solved Examples Of Even Number

1. Example: Are all integers even numbers?

Both positive and negative integers of the form n = 2k, where k is an integer, are even numbers.

2. Example: Write the even numbers between 1 and 25

The even numbers between 1 and 25 are 2,4,6,8,10,12,14,16,18,20,22, and 24.

3. Example: Is 4587 an even number?

We can see that the unit place digit of the given number is 7, which is not divisible by 2. Hence, the given number is an odd number.

Below are some practice questions:

A) Adding an even number to another even number results in an even number.
B)
Adding an odd number to an even number results in an even number.
C)
Adding an odd number to an odd number results in an odd number.

2. Which of the following is true about subtraction?

A) Subtracting an even number from an even number results in an odd number.
B) Subtracting an odd number from an odd number results in an odd number.
C) Subtracting an odd number from an even number results in an odd number.

3. Is 28733489 an even number?

A) Yes
B) No
C) Can’t say

4. Is 293404 an even number?

A) Yes
B) No
C) Can’t say

5. What is 230846 multiplied by 24

A) 5540304
B) 5040304
C) 5840304

## FAQs

### 1. Is 0 (Zero) an Even Number?

A. Yes, we can say that zero is an even number, as 0 divided by 2 has no remainder is left behind, the number 0 qualifies as an even number. Moreover, any number that ends with 0 is most definitely an even number.

### 2. What Are The First 50 Even Numbers?

A. The first 50 even numbers are 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48, and 50.

### 3. What Is The General Formula Of Even Numbers?

A. The general formula of an even number is n = 2k

### 4. What Is The Even Prime Number?

A. 2 is the only even prime number.

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