NCERT Solutions for Class 8 Maths Chapter 12 Exercise 12.1 Factorisation - PDF Download

NCERT solutions class 8 maths chapter 12 ex 12.1 factorisation is based on finding the factors of natural numbers, factors of algebraic expressions, methods of factorizations. In this exercise, you will get a basic idea of factoring expressions by answering a series of questions. Understanding how to simplify concepts is the first step in solving complicated algebraic expressions in ex 12.1. Class 8 maths chapter 12 exercise 12.1 NCERT solutions provides an in-depth understanding of the topic through the use of appropriate examples.

Ex 12.1 class 8 maths chapter 12 consists of 3 questions with sub-parts to find the common factors of numbers and terms. In order to solve these questions, you need to use basic arithmetic and make the concepts as simple as possible. Ex 12.1 class 8 maths solutions are designed by highly experienced subject specialists of eSaral that will help you to prepare for exams. Ex 12.1 class 8 maths ch 12 NCERT solutions are helpful to students for revising the concepts and questions. These solutions are also available in PDF format to download. You can download the free PDF of these solutions and  practice all the questions of ex 12.1 to score good marks in exams.

Topics Covered in Exercise 12.1 Class 8 Mathematics Questions

NCERT solutions class 8 maths chapter 12 ex 12.1 Factorisation discusses topics related to factors of algebraic expressions, factors of natural numbers and methods of factorisation. These topics are described in detail so that students can get an in-depth understanding of each topic and concept associated with the ex 12.1.

1.  Factors of natural numbers

Factors are pairs of natural numbers that give a resultant number.

For example - 20 = 210= 45= 201

Hence, the 1, 2, 4, 5, 10 and 20 are the factors of 20.

Prime Factor Form

If you write a number's factors in a way that makes them all prime numbers, then it's called prime factor form.

Example- 30 written as 2 × 3 × 5 is in the prime factor form.

2. Factors of algebraic expressions

Algebraic expressions are just like any other natural numbers. They're just the product of their factors. In this case, it's called an "irreducible expression" instead of a prime factor form.

For example - 5ab = 5 × a × b

3. Factorisation

The factors of an algebraic expression can be made up of anything like numbers, variables and expressions. 

As mentioned above, the factors of an algebraic expression are easy to read, but in some cases, such as 2y+4, x2+5x etc., the factors are invisible, so we have to break down the expression to get its factors.

4. Methods of Factorisation

    A . Method of common factors

• In this method, we need to write all the irreducible factors of all terms.

• Then figure out the most common factors among all the irreducible factors

• The required factor form is the product of the common term we had chosen and the remaining terms.

    B. Factorisation by regrouping terms

Sometimes there are no common terms in the expressions then

• We need to make the groups of terms.

• Then choose the common factor among these groups.

• You have to find the common binomial factor and it will give the required factors.

Tips for Solving Exercise 12.1 Class 8 Chapter 12 Factorisation 

Ex 12.1 of NCERT solutions class 8 maths chapter 12 Factorization will help you to understand factorization and all the related concepts. You need to follow some tips to solve the questions included in exercise 12.1 chapter 12 class 8 maths.

1. Practicing questions in NCERT solutions based on terms and numbers finding factors will provide the skills you need to progress in advanced problems included in ex 12.1.

2. Students will be able to comprehend complex expressions more easily by reading and solving the fundamental concepts outlined in these solutions.

3. Ex 12.1 NCERT solutions class 8 maths chapter 12 helps students to remember all methods in the simplest manner so that students can easily solve the questions.
   

Importance of Solving Ex 12.1 Class 8 Maths Chapter 12 Factorisation

To help students understand the significance of this chapter, we have listed below some of the advantages of practicing NCERT solutions for ex 12.1 class 8 maths.

1. The NCERT solutions provide an in-depth understanding of the fundamental concepts of factorisation methods, factors of algebraic expressions covered in ex 12.1, to enable students to solve any question in a short time.

2. NCERT solutions break down each concept of chapter 12 ex 12.1 step by step so that class 8 students can understand the logic behind each question.

3. NCERT solution class 8 maths ex 12.1 is prepared by subject experts based on in-depth research to help students prepare for the exam.

4. With the help of NCERT solutions, students learn some advanced problem solving skills which will help them to score higher in the exams.

5. Ex 12.1 class 8 maths chapter 12 NCERT solutions PDFs come in handy while preparing for exams. Students can download these PDFs and practice all the questions even offline.
   

Frequently Asked Questions

Question 1. What is factorization in class 8 maths according to chapter 12 ex 12.1?

Answer 1. Basically, factorization is when you divide a number into smaller numbers, and when you multiply them together it produces the original number.

When we factorize an algebraic expression, we write it as a product of factors. These factors may be numbers, algebraic variables or algebraic expressions. 

Question 2. What do you understand about the common factorisation method in NCERT solutions class 8 maths chapter 12?

Answer 2. The common factor method is a well-structured way to factor an expression.

You can factorize an expression by common factorisation method in systematically way.

• In this method, we need to write all the irreducible factors of all terms.

• Then figure out the most common factors among all the irreducible factors

• The required factor form is the product of the common term we had chosen and the remaining terms.