We are going to discuss the even and odd numbers here.

**Even numbers:**

There are 12 points in this picture. Let’s make pairs where we observe that all the points are paired and there is no point left. So we say 12 is an even number. |

In this picture there are 8 dots and they are all paired so 8 is an even number. |

In general, we can say that all numbers that can be paired are called even numbers, that is, all numbers that are in the table of two are even numbers.

Or we can say that the numbers that are exactly divisible by 2 are called even numbers. We can get even numbers by multiplying 2 by whole numbers.

As we know, precisely divisible means that when we divide one number by another number, there is no remainder. If we divide 12 by 2, we get 6 as the quotient and there is no remainder left. So 12 is an even number.

There are so many numbers that are divisible by 2. The numbers that are divisible by 2 are the multiples of 2. When we multiply 2 by another number, the product is called a multiple of 2.

**For example,** 2 × 0 = 0, 2 × 1 = 2, 2 × 2 = 4, 2 × 3 = 6, 2 × 4 = 8, etc.

Therefore, even numbers end with 0, 2, 4, 6, 8.

Thus, any multiple of 2 is called an even number, or the number whose factor is 2 is called a even number.

**For example,** 2, 4, 6, 8, 10 …… 36, 38, 40 …… etc. Are multiples of 2 or 2 is one of the factors of these numbers.

So all of these numbers are called even numbers.

So every number divisible by 2 is one even number.

**Example for even numbers:**

Find the even numbers between 5 and 15. The numbers between 5 and 158 are: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

We observe that 6, 8, 10, 12 and 14 are exactly divisible by 2.

So they are even numbers.

**Uneven numbers:**

There are 11 points in this picture. We observe that not all points are paired. One point remains unpaired. Those numbers that cannot be grouped together are called odd numbers. |

Or we can say that the numbers that are not exactly divisible by 2 are called odd numbers. Or we can say that the number that is not even or not divisible by 2 is called an odd number.

**For example,** 13 is not exactly divisible by 2, because if we divide it by 2, it leaves 1 as the remainder. So 13 is an odd number.

Odd numbers are not multiples of 2.

**For example,** 1, 3, 5, 7, 9, 11, 13, 15, ……., 51, 53, ……. Etc. cannot be obtained by multiplying 2 by another number. They are odd numbers. Therefore, odd numbers end with 1, 3, 5, 7, and 9.

**Example of odd numbers:**

Find the odd numbers between 13 and 20. The numbers between 13 and 20 are: 13, 14, 15, 16, 17, 18, 19, 20.

We observe that 13, 15, 17 and 19 are not exactly divisible by 2.

So they are odd numbers.

**A number that is a multiple of 2 is an even number, and the number that is not a multiple of 2 is an odd one ****Number.**

Two objects form a pair. Thus, an object does not form a pair. If there are three objects, there is a pair and one object is left. If there are four objects, they make two pairs. If there are five objects, they make two pairs and one object is left.

The numbers that make perfect pairs are called even numbers.

**For example:** 34, 56, 780, 1212, 490

The numbers do not make perfect pairs and are known as odd numbers.

**For example:** 79, 851, 233, 2777, 609

**Properties of even and odd numbers:**

**1.** The sum of two even numbers is always an even number.

**For example:** 14 + 258 = 272.

**2.** The sum of two odd numbers is always an even number.

**For example:** 769 + 147 = 916

**3.** The sum of an odd and an even number is always an odd number.

**For example:** 67 + 232 = 299

**4th** Even numbers end with 0, 2, 4, 6, 8.

**For example:** 24 is an even number because 24 ends with 4.

120 is an even number because 120 ends in 0.

**5.** Odd numbers end with 1, 3, 5, 7, 9.

**For example:** 73 is an odd number because 73 ends in 3.

129 is an odd number because 129 ends in 9.

**Question and answer on even and odd numbers:**

**I. check mark (P.) the even numbers and cross (û) the odd numbers:**

(i) 250

(ii) 123

(iii) 358

(iv) 247

(v) 888

(vi) 129

(vii) 879

(viii) 2577

(ix) 2468

(x) 9003

(xi) 2758

(xii) 6881

(xiii) 1554

(xiv) 5565

(xv) 1747

(xvi) 5568

(xvii) 8785

(xviii) 252

(xix) 2475

(xx) 1454

(xxi) 1297

(xxii) 666

(xxiii) 2199

(xxiv) 2211

**Reply:**

**I.** (i) Even number **P.**

(ii) Odd number **û**

(iii) Even number **P.**

(iv) Odd number **û**

(v) Even number **P.**

(vi) Odd number **û**

(vii) Odd number **û**

(viii) Odd number **û**

(ix) Even number **P.**

(x) Odd number **û**

(xi) Even number **P.**

(xii) Odd number **û**

(xiii) Even number **P.**

(xiv) Odd number **û**

(xv) Odd number **û**

(xvi) Even number **P.**

(xvii) Odd number **û**

(xviii) Even number **P.**

(xix) Odd number **û**

(xx) Even number **P.**

(xxi) Odd number **û**

(xxii) Even number **P.**

(xxiii) Odd number **û**

(xxiv) Odd number **û**

**II. Are the following numbers odd or even?**

(i) 2782

(ii) 809

(iii) 2133

(iv) 7605

(v) 170

(vi) 5698

(vii) 6544

(viii) 3999

(ix) 4004

(x) 5000

(xi) 1093

(xii) 22

(xiii) 825

(xiv) 9329

(xv) 6003

(xvi) 1934

(xvii) 1918

(xviii) 431

(xix) 123

(xx) 89

**Reply:**

**II. **(i) Even number

(ii) Odd number

(iii) Odd number

(iv) Odd number

(v) Even number

(vi) Even number

(vii) Even number

(viii) Odd number

(ix) Even number

(x) Even number

(xi) Odd number

(xii) Even number

(xiii) Odd number

(xiv) Odd number

(xv) Odd number

(xvi) Even number

(xvii) Even number

(xviii) Odd number

(xix) Odd number

(xx) Odd number

**Related concept**

**● ****Factors and multipliers using multiplication facts**

**● ****Factors and multiples using division facts**

**● ****Multiples**

**● ****Properties of multiples**

**● ****Examples of multiples**

**● ****Factors**

**● ****Factor tree method**

**● ****Properties of factors**

**● ****Examples of factors**

**● ****Even and odd numbers**

**● ****Even and odd numbers between 1 and 100**

**● ****Examples of even and odd numbers**

**4th grade math activities**

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