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What are Odd Numbers?

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Last updated date: 23rd Apr 2024
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An Introduction

We categorise numbers as even and odd. The number is even if it is divisible by 2, or else it is odd. Odd numbers are integers that do not appear in the table of two (2). 


For example: 1,7,13,19,....

We have explained it in detail, also further, you will learn about the different types and properties of the odd numbers. All these materials are available to download; all you have to do is sign up with your mail id or phone number.


Types of Odd Numbers

  • Composite Odd Numbers

An odd number except 1 is a composite unless it is a prime number. For example, 9 is an odd number and has a divisor.

  • Consecutive Odd Numbers

It is nothing but the sequential order of the odd numbers. For example, 1,3,5,7,9…


Properties of Odd Numbers

  1. Odd + Odd = Even

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

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

  1. Odd - Odd = Even

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

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

  1. Odd x  Odd =  Odd

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

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

  1. Odd / Odd = Odd

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

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.

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

  2. 1 is the first positive odd number in the number line.


Conclusion

Odd numbers are one of the fundamental topics in maths and many concepts and formulas are based on odd numbers. It is always advisable to pay utmost attention to the concept of odd numbers to make sure there are no chances of making silly mistakes in the examination. The topic may seem easy, but the properties and formulas related to it cannot be taken lightly. To score well in your exams, make sure to solve as many problems on odd numbers as possible. 

FAQs on What are Odd Numbers?

1. Why is zero not an odd number?

An odd number is nothing but that which gives you a remainder 1, after getting divided by 2. When you divide zero (0) by 2, you don’t get one (1) as a reminder it is zero (0). So, according to the said rule, it is easy and clear to say that zero is an even number. 

2. Do I need to learn the different properties of the odd numbers?

Yes, it is necessary to learn the different properties of odd numbers. There are only four properties to remember that you will use intensively. Below you read the properties of odd numbers:

  • When you add an odd number to another odd number, a result is always an even number. 

E.g., 3 + 3 = 6 

  • When you subtract an odd number to another odd number, a result is always an even number. 

E.g., 9 - 5 = 4

  • When you multiply two odd numbers, the result is always an odd number. 

E.g., 5 x 5 = 25

  • When you divide two odd numbers, the result is always an odd number.

E.g., 9 / 3 = 3

3. Does Vedantu provide solutions to each question?

Vedantu provides you with solutions to previous year papers, NCERTs textbook questions and exemplar problems. Our experts have crafted these solutions or answers after a thorough study of the syllabus. The experts have explained each question brilliantly according to the CBSE marking pattern. You can download the solution to any question or exercise from the NCERT maths textbook. To download, all you have to remember is to sign up with your valid email id. Solve as many questions as possible on our website to ace your examination.

4. What is the general form of the odd numbers?

2n+1 is the general form of the odd numbers in which ‘n’ is the natural number. You can put any natural value in it, and you will get an odd number. We explain you a lot more than the general form of the odd number. You can learn with us from home, no need to go anywhere to find satisfactory tuition; our experts have provided all the required resources to complete your preparation. All you have to do is select your class to start your maths preparation.