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What Are Odd Numbers? | Definition, Meaning, Examples, Odd Numbers List [1 to 1000]

Written by Prerit Jain

What Are Odd Numbers? | Definition, Meaning, Examples, Odd Numbers List [1 to 1000]

What Are Odd Numbers? | Definition, Meaning, Examples, Odd Numbers List [1 to 1000]

In whole numbers, there are two categories of numbers: odd numbers and even numbers. Odd numbers are the numbers that, when divided by 2, leave 1 as the remainder. In this article, you will learn about odd numbers, their types, properties, and fun odd-number facts. Scroll down to find out more.

What are odd numbers?

Odd numbers are those numbers that cannot be divided by 2. For example, 1, 3, 5, and 7 are odd numbers because when we divide them by 2, it will leave 1 as a remainder. Odd numbers don’t come in the table of even numbers, such as 2, 4, and 6.

Checking the place value of odd integers is the most effective method of identification. For example, the number 59031 is an odd number, since one appears in the one’s place value.

In simpler words, any number ending with the numbers 1, 3, 5, 7, and 9 is an odd number.

How to identify odd numbers?

Many of us generally get confused between odd and even numbers and make silly mistakes in examinations. A few ways through which we can identify the odd numbers are given below:

  • Even numbers are completely and evenly divisible by 2, whereas odd numbers are not completely divisible by two. Hence, see if the given number is divisible by 2. If the given number is divisible by 2, then it is an even number, else it’s an odd number.
  • When you divide an odd number by 2, it will always give 1 as the remainder. Even numbers are separable into two equal sections. But an odd number will leave an odd number as a reminder and cannot be separated into two equal sections.
  • Another easy way to identify odd and even numbers are by the last digits of any number. If one’s place number is 1, 3, 5, 7, 9, etc., then it’s an odd number. Similarly, if the last digit is 0, 2, 4, 6, or 8, then it’s an even number.

Types of odd numbers

There are two types of odd numbers: composite and consecutive. Below is a clear explanation for both types:

  • Composite Odd Numbers: The odd numbers that are not prime numbers are known as composite odd numbers. For example, 1 and other prime numbers like 3, 5, 7, etc., are not composite odd numbers. However, 9, 15, 21, etc. are composite odd numbers.
  • Consecutive odd numbers: The odd numbers that occur in a row are known as consecutive odd numbers. When odd numbers come in a sequence like 1, 3, 5, 7, 9, 11, 13, or 15, it is known as consecutive odd numbers.

Properties of odd numbers

It’s time to play with odd numbers and learn some properties and how they react with other numbers. There are four major properties of odd numbers, and they are:

Addition of odd numbers

When we add two odd numbers, the result is an even number.

Odd + Odd = Even Number

Solved examples: 

  • 3 + 5 = 8
  • 7 + 3 = 10,
  • 3 + 9 = 12.

Try Yourself: 

  • 1 + 3 = ___
  • 5 + 9 = ___
  • 7 + 1 = ___

Subtraction of odd numbers

When two odd numbers are subtracted, the result is an even number. 

Odd – Odd = Even Number

Solved examples: 

  • 5 – 1 = 4
  • 9 – 7 = 2
  • 15 – 5 = 10

Try Yourself: 

  • 3 – 1 = ___
  • 5 – 3 = ___
  • 9 – 5 = ___

Multiplication of odd numbers

Unlike the addition and subtraction of odd numbers, the multiplication of odd numbers is quite different. When we multiply two odd numbers, their product is going to be an odd number.

Odd X Odd = Odd Number

Solved examples: 

  • 1 x 5 = 5
  • 3 x 7 = 21
  • 9 x 7 = 63

Try Yourself: 

  • 5 x 3 = ___
  • 9 x 1 = ___
  • 3 x 3 = ___

Division of odd numbers

When two odd numbers are divided, the result is an odd number. 

Odd / Odd = Odd Number

Solved examples:

  • 15 / 3 = 5
  • 29 x 3 = 3
  • 1 / 3 = 7

Try Yourself: 

  • 21 / 7 = ___
  • 25 / 5 = ___
  • 27 / 3 = ___

List of odd numbers 1 to 1000

The odd numbers chart from 1 to 1000 is given below:

135791113151719
21232527293133353739
41434547495153555759
61636567697173757779
81838587899193959799
101103105107109111113115117119
121123125127129131133135137139
141143145147149151153155157159
161163165167169171173175177179
181183185187189191193195197199
201203205207209211213215217219
221223225227229231233235237239
241243245247249251253255257259
261263265267269271273275277279
281283285287289291293295297299
301303305307309311313315317319
321323325327329331333335337339
341343345347349351353355357359
361363365367369371373375377379
381383385387389391393395397399
401403405407409411413415417419
421423425427429431433435437439
441443445447449451453455457459
461463465467469471473475477479
481483485487489491493495497499
501503505507509511513515517519
521523525527529531533535537539
541543545547549551553555557559
561563565567569571573575577579
581583585587589591593595597599
601603605607609611613615617619
621623625627629631633635637639
641643645647649651653655657659
661663665667669671673675677679
681683685687689691693695697699
701703705707709711713715717719
721723725727729731733735737739
741743745747749751753755757759
761763765767769771773775777779
781783785787789791793795797799
801803805807809811813815817819
821823825827829831833835837839
841843845847849851853855857859
861863865867869871873875877879
881883885887889891893895897899
901903905907909911913915917919
921923925927929931933935937939
941943945947949951953955957959
961963965967969971973975977979
981983985987989991993995997999
Odd Numbers Chart from 1 to 1000

FAQs

What is the smallest Odd Number? 
The smallest Odd Number is 1 and the smallest Composite odd Number is 9. 

How many odd numbers are from counting 1 to 100? 
There are 50 Odd and 50 Even Numbers. 

0 is the Odd Number of Even Number? 
0 is an Even Number because it is divisible by 2 and gets 0 as a remainder, for example, when we divide 0 / 2 is 0. 

Can a number be both Odd and Even? 
No. Odd Numbers and Even numbers are exclusive numbers and that’s why a given number cannot be the same.

Knowledge of odd numbers is one of the fundamentals of mathematics. Also, it’s not that hard; it just needs a little practice and time to get familiar with odd numbers. We hope all your questions related to odd numbers have been answered in this article.

Written by

Prerit Jain

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