Numbers are of two types even numbers and odd numbers. Odd numbers are the integers that are not divisible by 2. Also, fractions cannot be odd numbers. Vedantu is providing you with a detailed explanation of the concept of odd numbers in a very easy language. The study material is easily available in PDF format and can be downloaded for free from Vedantu.

### So, What are Odd Numbers?

Odd numbers are the integers that always leave a remainder when divided by 2. These numbers are the integers with the form n = 2k + 1, where k is an integer. The examples of odd numbers are: -5, -3, -1, 1, 3, 5, 7 and so on. Odd numbers, when divided by 2 always leave a remainder 1, on the contrary even numbers when divided by 2, leave the remainder 0. The smallest positive odd number is 1.

### List of Odd Numbers:

There are a total of 50 odd numbers from 1 to 100 and 24 odd numbers from 1 to 50.

Here is a list of odd numbers from -5 to 25:

-5, -3, -1, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25.

And the list of the even number is:

-4, -2, 0,2, 4, 6, 8,10, 12, 14, 16, 18, 20, 22, 24.

### Types of Odd Numbers:

Composite Odd Numbers: Those composite numbers which cannot be divided by 2 are the composite odd numbers, and all the positive integers that have a factor other than 1 are known as composite numbers. The list of composite odd numbers from 1 to 50 is as follows.

9, 15, 21, 25, 27, 33, 45, 49.

Consecutive Odd Numbers: Consecutive odd numbers follow each other in sequential order. They have a difference of 2 between them.

The consecutive odd numbers from 1 to 10 are:

1, 3, 5, 7, 9.

### Properties of Odd Numbers

Odd + Odd = Even

When two odd numbers are added their sum is an even number. For example,

1 + 3 = 4

Here, 1 and 3 are odd numbers but their sum is 4 which is an even number.

Odd - Odd = Even

When an odd number is subtracted from another odd number, the result is an even number. For example,

3 - 1 = 2

7 - 3 = 4

Here 7, 3, and 1 are odd numbers, and the result is an even number.

Odd × Odd = Odd

The product of two odd numbers is always an odd number. For example,

5 × 3 = 15

3 × 3 = 9

Here, 5 and 3 are the odd numbers, and the products too are odd numbers.

Odd/Odd = Odd

The division of two odd numbers always results in an odd number. For example,

3/3 = 1

15/5 = 3

Here the 5, 3, and 15 are the odd numbers and the result of their division result will also be an odd number.

The key features of an odd number are as follows.

When we divide odd numbers by 2 the remainder should always be 1.

1 is the first positive odd number in the number line.

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Even numbers can be divided evenly into groups of two. The number four can be divided into two groups of two.

Odd numbers can NOT be divided evenly into groups of two. The number five can be divided into two groups of two and one group of one.

Even numbers always end with a digit of 0, 2, 4, 6 or 8.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.

Odd numbers always end with a digit of 1, 3, 5, 7, or 9.

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 are odd numbers.

## Odd Numbers

### FAQs on Odd Numbers

### What are Odd Numbers in Math?

In math, all the numbers that are not the multiples of 2 are odd numbers. For example, 3, 5, 7, 9, etc.

### What are The Odd Numbers From 1 to 100?

The odd numbers from 1 to 100 are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.

### What is the Difference Between an Odd Number and an Even Number?

The numbers which can be divided into two parts evenly are called even numbers whereas odd numbers cannot be divided into equal pairs.

### What are Two Consecutive Odd Numbers?

Two consecutive odd numbers are those numbers that are odd and have a difference of 2 between them. For example 3 and 5, 11 and 13.

### Is 0 an Even or Odd Number?

0 is an even number as it is an integer multiple of 2.

### What is the Mean of First Five Odd Numbers?

To determine the mean of the first five odd numbers we need to follow the steps listed below:

- List the first five odd numbers, they are 1, 3, 5, 7, and 9.
- Calculate the sum of 1, 3, 5, 7, 9 = 25
- Applying mean formula = Mean of any n numbers = (Sum of n numbers) / n = 25/5 = 5

Therefore, the mean of the first five odd numbers is 5.

### How Many Odd Numbers are There Between 36 and 53?

The list of odd numbers that lie between 36 and 53 are 37, 39, 41, 43, 45, 47, 49, 51. Hence there are total of 8 odd numbers between 36 and 53.

### Is Number 1 Odd or Even?

1 is an odd number. This is because it has digit 1 at the unit's place. Also, if you try to divide 1 by 2, you will get a remainder as 1. Hence, 1 is an odd number.

### What is the Formula of Odd Numbers?

The odd number formula to represent an odd number can be given as: Formula for odd numbers = 2n + 1, where, n ∈* Z *(whole numbers).

## Even and Odd Numbers

Between 1 and 100

All the even and odd numbers between 1 and 100 are discussed here.

**What are the even numbers from 1 to 100?**

**The even numbers from 1 to 100 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 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

*What are the odd numbers from 1 to 100? *

*The odd numbers from 1 to 100 are:*

1 3 5 7 9

11 13 15 17 19

21 23 25 27 29

31 33 35 37 39

41 43 45 47 49

51 53 55 57 59

61 63 65 67 69

71 73 75 77 79

81 83 85 87 89

91 93 95 97 99

**Even **** and **Odd Numbers

**1.** (i) Every number coming after an even number is an odd number

12 + 1 = 13

16+1 = 17

176 + 1 = 177

216 + 1 = 217

(ii) Every number coming after an odd number is an even number

15 + 1 = 16

19 + 1 = 20

205 + 1 = 206

419 + 1 = 420

**2.** Every number having 2, 4, 6, 8 and 0 at its one’s place is divisible by 2 and hence, an even number.

**3.** No number having 3, 5, 7 and 9 at its one's place is divisible by 2 and hence, an odd number. **4.** All the even and odd numbers are whole numbers.

**Related Concept**

● Factors and Multiples by using Multiplication Facts

● Factors and Multiples by using Division Facts

● Multiples

● Properties of Multiples

● Examples on Multiples

● Factors

● Factor Tree Method

● Properties of Factors

● Examples on Factors

● Even and Odd Numbers

● Even and Odd Numbers Between 1 and 100

● Examples on Even and Odd Numbers

**4th Grade Math Activities****From Even and Odd Numbers Between 1 and 100 to HOME PAGE**

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## 1 to numbers 20 odd

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