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.

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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 = ___

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List of odd numbers 1 to 1000

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

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
101	103	105	107	109	111	113	115	117	119
121	123	125	127	129	131	133	135	137	139
141	143	145	147	149	151	153	155	157	159
161	163	165	167	169	171	173	175	177	179
181	183	185	187	189	191	193	195	197	199
201	203	205	207	209	211	213	215	217	219
221	223	225	227	229	231	233	235	237	239
241	243	245	247	249	251	253	255	257	259
261	263	265	267	269	271	273	275	277	279
281	283	285	287	289	291	293	295	297	299
301	303	305	307	309	311	313	315	317	319
321	323	325	327	329	331	333	335	337	339
341	343	345	347	349	351	353	355	357	359
361	363	365	367	369	371	373	375	377	379
381	383	385	387	389	391	393	395	397	399
401	403	405	407	409	411	413	415	417	419
421	423	425	427	429	431	433	435	437	439
441	443	445	447	449	451	453	455	457	459
461	463	465	467	469	471	473	475	477	479
481	483	485	487	489	491	493	495	497	499
501	503	505	507	509	511	513	515	517	519
521	523	525	527	529	531	533	535	537	539
541	543	545	547	549	551	553	555	557	559
561	563	565	567	569	571	573	575	577	579
581	583	585	587	589	591	593	595	597	599
601	603	605	607	609	611	613	615	617	619
621	623	625	627	629	631	633	635	637	639
641	643	645	647	649	651	653	655	657	659
661	663	665	667	669	671	673	675	677	679
681	683	685	687	689	691	693	695	697	699
701	703	705	707	709	711	713	715	717	719
721	723	725	727	729	731	733	735	737	739
741	743	745	747	749	751	753	755	757	759
761	763	765	767	769	771	773	775	777	779
781	783	785	787	789	791	793	795	797	799
801	803	805	807	809	811	813	815	817	819
821	823	825	827	829	831	833	835	837	839
841	843	845	847	849	851	853	855	857	859
861	863	865	867	869	871	873	875	877	879
881	883	885	887	889	891	893	895	897	899
901	903	905	907	909	911	913	915	917	919
921	923	925	927	929	931	933	935	937	939
941	943	945	947	949	951	953	955	957	959
961	963	965	967	969	971	973	975	977	979
981	983	985	987	989	991	993	995	997	999

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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.