Types of Number in Number System

There are following Types of Number in Number System. we are discussion about that :

• Natural Number   ( प्राकृतिक संख्या )
• Whole Number ( पूर्ण संख्या )
• Integer  ( पूर्णांक संख्या )
• Rational Number  ( परिमेय संख्या )
• Irrational Number ( अपरिमेय संख्या )

• Even Number ( सम संख्या )
• Odd Number ( विषम संख्या )
• Prime Number ( रूढ़  संख्या / अभाज्य संख्या )  
• Co-prime Number (सह अभाज्य संख्या )
• Real Number (वास्तविक संख्या )
• Imaginary Number (काल्पनिक संख्या)
• Complex Number(समिश्र संख्या)

Even Number ( सम संख्या )

An even number is a number that can be divided by 2 without leaving a remainder. Even numbers have the following properties:  

• They end with 0, 2, 4, 6, or 8  
• They can be divided into two equal groups or pairs  
• The difference between two even numbers is always even

Odd Number ( विषम संख्या )

The numbers which are not divisible by 2, evenly, are called odd numbers. For Example: 3, 5, 17, 19, 21, etc.

Prime Number ( रूढ़  संख्या / अभाज्य संख्या )

prime numbers are positive integers greater than 1 with exactly two factors, 1 and the number itself. Some of the prime numbers include 2, 3, 5, 7, 11, 13, etc.

Co-prime Number (सह अभाज्य संख्या )

pairs of numbers that do not have any common factor other than 1. There should be a minimum of two numbers to form a set of co-prime numbers. Such numbers have only 1 as their highest common factor,

for example, (4 and 7), (5, 7, 9) are co-prime numbers.

Real Number (वास्तविक संख्या )

Any number that we can think of, except complex numbers, is a real number.

For example, 3, 0, 1.5, 3/2, √5, and so on are real numbers.

Imaginary Number (काल्पनिक संख्या)

imaginary numbers are defined as the square root of the negative numbers where it does not have a definite value. and which is defined by its property i² = −1

Complex Number(समिश्र संख्या)

The numbers that are expressed in the form of a+ib where, a,b are real numbers

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