Types of Number math

 Hello guys 

They are many types of Number.

Math Number only

1.Natural Number 

2.Whole Number 

3.Prime Number 

4.Composite Number 

5.Co-Prime Number 

6.Odd Number 

7.Even Number

8.Perfect Number 

9. Integers 

10.Rational Number 

11. Real Number

12. Irrational Number 

1.Natural Number 

All counting number are called Natural Number. Other way start with 1 and never end is natural number.

1,2,3,4,5,6,7,8,9,10,11,22,33,44,55,66,777..….....etc.

All natural number are positive.

Smallest natural number is 1.

Sum of first n natural number numbers

1+2+3+4+5+6+7+8+9+..+n=n(n+1)/2

Sum of squares =n(n+1)(2n+1)/6

Sum of cube={n(n+1)/2}²

2.Whole Number 

All Counting number starting with Zero is called whole number. Other way  Natural number along with Zero is called Natural Number.

O,,1,21,2,3,6,9,8,5,2,74,1....etc. 

3.Prime Number

Prime those numbers which are only two factors like one and itself is called Prime Number. Othe way which are divisible by 1 and itself only are called Prime numbers.

E.g. 2,3,5,7,11, ....etc..

How to find prime numbers n²>p. 

Properties of number 

1.All prime numbers are positive.

2.Zero is not a prime numbers.

3.one is not a prime , as it has only one  factor   itself.

4.2 is the  only even prime numbers.

5. The lowest odd prime numbers is 3.

4.Composite Number

Which are many factors is composite number. 

4,6,9...etc.

5.Co-Prime Number 

Two natural numbers are common divisor is only 1.othe way H.C.F is 1 is called coprime number.

e.g. (7,9),(15,16) .....etc.

6.Odd Number 

Numbers which are not divisible by 2 is called odd number. Other way unit digits 1,3,5,7,9 then is called odd number.

e.g. 1, 3,5,7,9, 11,13,15,...etc.

Sum of first n positive odd number =n²

E.g.

    1+3+5+7+9+11=36

Numbers of observation 6 then formula n²

6²=36

7.Even Number

Numbers which are exactly divisible by 2 is called even numbers . Othe way unit digits is 0,2,4,6,8 then is called even numbers.

e.g. 2,4,6,8,10,12,14.... etc.

Sum of first position Even numbers =n(n+1)

E.g.2+4+6+8+10+12+14+16+18+20= 110

Numbers of observation 10 then formula 10(10+1)=110

9. Integers

Which are negative natural number form the set of integers.

I=(...-3,-2,-1,0,1,2,3..)

10.Rational Number 

Any number can be expressed in the fraction (p/q) q not equal to 0 is called rational number.

3/5,4/5...etc.

 11. Real Number

All numbers like rational irrational natural whole number all numbers are Real Number.

1,22,3, 2/3 ,√3 .... etc.

12. Irrational Number

Which are not in fraction is called irrational Number. √5..etc.

Computer number next topic 

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