Tuesday, August 17, 2010

Math at your fingertips

Prime factorization:-
In number theory, A positive integer are the prime numbers that divide that integer exactly which are Prime factors of 60, without leaving a remainder. The integer factorization is the process of way of finding these numbers, or prime factorization.
Now let us see the steps to find the prime factorization.

Steps to Find the Prime Factorization:-
Step:-1 Identify the given number is prime number or not.
Case 1:- If the number is a prime number then the prime factor of this is only the same number.
Case 2:- If the given number is not a prime number, go after the following steps to find the prime factors of the given number.
Step:-2 Start with the first prime number 2.
Divide the given number by 2
Case 1:- if it has, no remainder then go to step 3.
Case 2:- if it has, a remainder then use next prime number to divide until you get zero as a remainder .
The prime divisor, which produces 0 as remainder is a prime factor.
Step:- 3
Case:-1 If the answer in the step 2 is a prime number then it is also a prime factor.
Case:-2 If the answer in the step 2 is not a prime number start with step 2 and repeat the same procedure.
Now let us see a simple example how to find the prime factor of number 8.
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Step 1:-
Given number is not a prime number.
Step 2 :-
Divide the given number by first prime number 2.
remainder ( 0) So 2 is a prime factor
Step 3:-
Answer in step 2 is 4 is not a prime number so continue with dividing.
Divide remainder (0) So 2 is next Prime factor.
Step 4:-
Answer in step 3 is 2 it is a prime number. So it is also a prime factor.
So the prime factors of the given numbers is 2 , 2 ,2.
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