PPT: Factorisation | Mathematics (Maths) Class 8 PDF Download

 Page 1


F A C T O R I S A T I O N
Page 2


F A C T O R I S A T I O N
Factorisation
Methods of Factorisation
Division of Algebraic Expressions
Lesson Outline
Page 3


F A C T O R I S A T I O N
Factorisation
Methods of Factorisation
Division of Algebraic Expressions
Lesson Outline
Factors of Natural Numbers 
Factors are the pair of natural numbers which give the
resultant number.
Example
24 = 12 × 2 = 6 × 4 = 8 × 3 = 2 × 2 × 2 × 3 = 24 × 1
Hence, 1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24
I n t r o d u c t i o n
Page 4


F A C T O R I S A T I O N
Factorisation
Methods of Factorisation
Division of Algebraic Expressions
Lesson Outline
Factors of Natural Numbers 
Factors are the pair of natural numbers which give the
resultant number.
Example
24 = 12 × 2 = 6 × 4 = 8 × 3 = 2 × 2 × 2 × 3 = 24 × 1
Hence, 1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24
I n t r o d u c t i o n
Prime Factor Form
If we write the factors of a number in such a way that all the
factors are prime numbers then it is said to be a prime factor
form.
Example
The prime factor form of 24 is
24 = 2 × 2 × 2 × 3
I n t r o d u c t i o n
Page 5


F A C T O R I S A T I O N
Factorisation
Methods of Factorisation
Division of Algebraic Expressions
Lesson Outline
Factors of Natural Numbers 
Factors are the pair of natural numbers which give the
resultant number.
Example
24 = 12 × 2 = 6 × 4 = 8 × 3 = 2 × 2 × 2 × 3 = 24 × 1
Hence, 1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24
I n t r o d u c t i o n
Prime Factor Form
If we write the factors of a number in such a way that all the
factors are prime numbers then it is said to be a prime factor
form.
Example
The prime factor form of 24 is
24 = 2 × 2 × 2 × 3
I n t r o d u c t i o n
Factors of Algebraic Expressions
Like any natural number, an algebraic expression is also the
product of its factors. In the case of algebraic expression, it is
said to be an irreducible form instead of prime factor form.
Example
7pq = 7 × p × q =7p × q = 7q × p = 7 × pq
These are the factors of 7pq but the irreducible form of it is
7pq = 7 × p × q
I n t r o d u c t i o n