Properties of Natural Numbers

The properties of natural numbers are as follow:

(i) Natural numbers are also called counting numbers.

(ii) The first and the smallest natural number is 1 (one).

(iii) Every natural number (except 1) can be obtained by adding 1 to the previous natural number.

(iv) For the natural number 1, there is no ‘previous’ natural number (Though 1 = 0 + 1, but 0 is not a natural number).

(v) There is no last or greatest natural number since they are infinite.

(vi) Natural numbers are denoted by 'ℕ' normally.

(vii) We cannot complete the counting of all natural numbers. We express this fact by saying that there are infinitely many natural numbers.

Note: 

The counting numbers 1, 2, 3, 4, ..... are called naturals numbers. The set of natural numbers is denoted by 'ℕ'. Thus, ℕ = {1, 2, 3, 4, .....}.

Even Natural Numbers (E):

A system of naturals numbers, which are divisible by 2 or are multiples of 2, is called a set of even numbers. It is denoted by 'E'.

Thus, E = {2, 4, 6, 8, 10, 12, .....}
There are infinite even numbers.


Odd Natural Numbers (O):

A system of naturals numbers, which are not divisible by 2 or are not multiples of 2, is called a set of odd numbers. It is denoted by 'O'.

Thus, O = {1, 3, 5, 7, 9, 11, .....}

There are infinite odd numbers.

Taking together the odd and even numbers, we get Natural Numbers.

Natural Numbers

Properties of Natural Numbers










Numbers Page

6th Grade Page

From Properties of Natural Numbers to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Writing Money in Words and Figure | Rules for Writing Money in Words

    Feb 11, 25 12:36 PM

    Rules for writing money in words and figure: 1. Abbreviation used for a rupee is Re. and for 1-rupee it is Re. 1 2. Rupees is written in short, as Rs., as 5-rupees is written as Rs. 5

    Read More

  2. Worksheet on Money | Conversion of Money from Rupees to Paisa

    Feb 11, 25 09:39 AM

    Amounts in Figures
    Practice the questions given in the worksheet on money. This sheet provides different types of questions where students need to express the amount of money in short form and long form

    Read More

  3. Worksheet on Measurement | Problems on Measurement | Homework |Answers

    Feb 10, 25 11:56 PM

    Measurement Worksheet
    In worksheet on measurement we will solve different types of questions on measurement of length, conversion of length, addition and subtraction of length, word problems on addition of length, word pro…

    Read More

  4. Worksheet on Subtraction of Capacity | Word Problems on Capacity | Ans

    Feb 10, 25 09:36 AM

    Subtraction of Volume Worksheet
    Practice the third grade math worksheet on subtraction of capacity. This sheet provides different types of questions where you need to arrange the values of capacity under

    Read More

  5. Practice Test on Circle | Quiz on Circle | Question and Test on Circle

    Feb 10, 25 09:08 AM

    Geometry practice test on circle, the questions we practiced and discussed under worksheets on circle are given here in geometry practice test.

    Read More