Odd Numbers, Even numbers, composite numbers, prime numbers, etc are important in primary classes. These are the basic concepts that a student must know. This article will cover everything about the Odd no’s. in detail. It will help the young minds in developing a correct idea which will help them in mathematics eventually. Learn Number System and have complete knowledge while making use of Edureify Intelligent Book.
What are Odd Numbers?
Odd Numbers are whole numbers that cannot be divided exactly into pairs. Odd numbers will leave a remainder of one when divided by 2. Odd numbers can also be said as positive integers which cannot be divided into a team of two. Odd no’s. are an important topic for algebra. If we take an example of 17 and ask you to identify if it is an odd no. The first step that will come to your mind is that you should divide the number by 2. When 17 is divided by 2 it leaves a remainder of one and thus you can confirm 17 as an odd number.
The odd no. starts from 1 and not from 0. The numbers such as 1,3,5,7,9,11,13,15,17,19 and so on are known as sequential odd numbers. Besides this, we will also discuss the properties of the odd numbers.
Properties of Odd Numbers
The properties of odd numbers are as follows:-
- Odd+ Odd= Even The Sum of two odd numbers always results in an even number.If we add two odd numbers, then the sum is always even.
- For instance, let’s take the example of 1 and 3. The sum of 1 and 3 is 4 which is an even number. If we take another example; say 5 and 7. Then the sum of 5+7 is 12 which is an even number too.
- Odd × Odd= Odd:- When we multiply two odd no’s., the result is always odd.
- For example- 3*5=15.
- Odd – Odd = Even number:- When we subtract two odd no’s., the result is always an even number.
- For example- 5-3=2.
These properties of the odd no’s. will help the candidates in identifying the odd numbers better.
List of Odd No’s. for Better Understanding
Now, we will discuss the list of the odd numbers for a better understanding. The list will be discussed in a table format so that the students have a clear understanding of the topic i.e. odd numbers.
List of Odd No’s. from 1 to 10
1 | 3 | 5 | 7 | 9 |
List of Odd No’s. from 1 to 50
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 |
List of Odd No’s. from 1 to 100
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 |
From this table, the students must note one thing and that is the smallest odd number. The smallest odd number is 1.
Questions on Odd Numbers
Some questions are discussed here with regards to the odd numbers. This will help the students in getting a practical idea about odd numbers.
Question no 1:- Numbers that end with 1,3,5,7, 9 are known as _______?
a:- Odd numbers
b:- Even numbers
c:- Composite number
d:- Prime number
Answer:- Odd number.
Question No 2:- What is the next odd number after 251?
a:- 253
b:- 257
c:- 249
d:- 243
Answer:- 253
Question No 3:- Is 35*40 an odd number?
a:- Yes
b:- No
Answer:- 35*40 =1400; No this number is not odd.
Question no 4:- Tabulate the following numbers and only choose the odd ones.
23,16, 17, 35,42, 101, 134, 231, 256, 99, 67, 44, 337, 332
Answer:-
23 | 17 | 35 | 101 |
231 | 99 | 67 | 337 |
We hope that this article brings crystal clear clarity to the students. Many more interesting topics are covered by Eduriefy and along with understanding the candidates can also attempt mock tests and quizzes on those topics.
Frequently Asked Questions (FAQs)
Question No 1:- If we want to check the divisibility factor of an odd no., then by which number we should?
Ans:- To check an odd number through divisibility, divide it by 2 and if it leaves a remainder of one, it’s an odd number.
Question No 2:- What are all the Odd Numbers?
Ans:-The numbers which are not divisible by 2, evenly, are called odd numbers. For Example 3, 5, 17, 19, 21, etc.
Question No 3:- Is zero an odd number? Why?
Answer:- No, zero is not an odd no. but an even number, because, when we divide 0 by 2, it gives us a quotient equal to 0, and also there is no remainder left after division. So, 0 is evenly divided by 2.
Question No 4:- Is 37 an odd number or even?
Ans:- As we can see, the unit place of 37 consists of an odd number i.e. 7, which is not evenly divisible by 2, therefore, it’s an odd number.
Question No 5:- What is the smallest odd number?
Ans:- The smallest odd no. is one.
If you want to know and read everything at a glance about Co-prime numbers then Click Co-prime numbers and know everything in detail.