LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

CLASSIFICATION OF NUMBER

__CLASSIFICATION OF NUMBERS__

__Even Numbers –__

**Numbers which not leave any reminders on being divided by 2 is called EVEN numbers. In other words, the number that multiple of 2 is called
EVEN numbers.**

**For example- 0, 2, 4,
6, 8, 12, 14, 16,……. 96,……. 256,…. 1024,…… 2048,…….. 4096 are even numbers.**

**The even digit are 0, 2, 4, 6, & 8 any number having an
even digit in the units place is an even number. **

__Odd Numbers –__

**Numbers that are not exactly divisible by 2 is called ODD numbers. In other words, a number
that are not multiples of 2 is called ODD numbers. **

**For example –
1, 3, 5, 7, 9,………37, 39,…….., 125,…… 4137,………. 18249 are ODD numbers**

**The Odd
digits are 1, 3, 5, 7, & 9 any number having an odd digit in the units
place is an odd numbers.**

__Prime Numbers –__

**A number
would be called a PRIME number if it has no other factors except 1 and itself. For example – 2, 3, 5, 7, 11,
13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 51,…….. are some PRIME numbers. 2 is
only Even Prime number and it is the smallest prime numbers.**

__Composite Number –__

**A number which has two or more Prime factors is called a
COMPOSITE numbers. 4, 6, 8,……, 21,……136 are some composite numbers.**

__Co-Prime Numbers –__

**Two numbers
are called COPRIME or RELATIVELY PRIME numbers, if they do not have common
factors except 1. For example – ****3 & 4, 17 & 21, 23 & 25**** are co-prime numbers.**

__Twin-Prime –__

**Pairs of
Prime Numbers that, differ by 2 is called TWIN PRIME . for example – 3 &
5, 5 & 7, 11 & 13, 17 & 19 is some examples of twin primes.**

__Prime Factorization –__

**Writing a
number as a product of Prime numbers is called PRIME FACTORIZATION **

**For example –
a) 96 =
2 X 2 X 2 X 2 X 2 X 3**

** b) 12500 = 2 X 2 X 5 X 5 X 5 X 5 X 5 **

**Method of
Prime Factorization –**

**Divide the
number repeatedly by prime numbers 2, 3, 5, 7,……….. till the quotient is 1.
Alternatively break the number into smaller factors till all the factors are
prime.**

**Example.) Express 2500 as a product of Prime –**

**Answer.) 2500 = 2 X 1250 **

** ****= 2 X 2 X 625**

** = 2 X 2 X 5 X 125**

** = 2 X 2 X 5 X 5 X 25**

** = 2 X 2 X 5 X 5 X 5 X 5 **

**Another method –**

**So, 2500 = 2 X 2 X 5 X 5 X 5 X 5**