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SAI International School
                                                    CLASS – VIII,
           SUB: MATHEMATICS

           LESSON NOTES-1
           CH-14: FACTORISATION

           INSTRUCTIONS:
                 IT IS MANDATORY TO WRITE ALL THE GIVEN NOTES IN THE MATH
                  CLASSWORK COPY.


                 THE WORKSHEET PROBLEMS TO BE SOLVED IN THE CLASS COPY ALSO.

           SUBTOPIC:
              1) Introduction

                        Meaning of factors
                        Multiplying two whole numbers gives a product. The numbers that we multiply
                         are the factors of the product.
                        A factor divides a number completely without leaving any remainder.
                        The number 1 is the smallest factor of every number.
                        Every number will have a minimum of two factors, 1 and the number itself.

                        A number that has only two factors, 1 and the number itself, is called a prime
                         number.

                        Prime Factorisation :

                         Expressing a given natural number as the product of Prime Factors is called
                         Prime Factorisation.
                         or Prime Factorisation is the process of finding all the prime factors, together
                         with their multiplicity for a given natural number.
                         Prime Factorisation for a Natural Number is unique except for the order.

                     
                        Factors of natural numbers:-
                          As we know the natural number ‘6’ has factors
                          1,2,3 and 6 .


                        These factors can also be find out by the prime factorisation method.
                        We can write
                           6=1×2×3
           Fun Facts
            Factors are always whole numbers or integers and never decimals or fractions.

            All even numbers will have number 2 as their factor.
            All numbers that end with 5 will have 5 as their factor.

            All numbers greater than 0 and ending with a 0 will have 2, 5, and 10 as their factors.
            Algebraic expressions are often solved or simplified through factoring.


                  Method of Prime Factorisation of a given natural number :
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