Chapter 13 · Class 8 CBSE · Free Worksheet PDF
Factorisation Sums for Class 8 — Free CBSE Worksheet PDF with Answers
Download a free printable factorization worksheet for Class 8 CBSE with 30 practice questions covering factorisation using common factors, regrouping, algebraic identities, and division method. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.
Last updated: 5 May 2026
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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample Factorization Sums for Class 8 — Practice Questions
Here are 8 sample factorization sums from this Class 8 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.Which of the following statements best describes the process of factorization of an algebraic expression?
A.It is the process of multiplying two or more algebraic expressions to get a single expression.
B.It is the process of breaking down an algebraic expression into a product of two or more simpler expressions (its factors).
C.It is the process of finding the value of a variable in an algebraic expression.
D.It is the process of adding or subtracting like terms in an algebraic expression.
Difficulty: Easy
Q2.Factorize the expression 6xy - 9x.
A.3x(2y - 3x)
B.3x(2y - 3)
C.3(2xy - 3x)
D.3x(2y + 3)
Difficulty: Easy
Q3.Rahul factorized the expression 12a²b + 18ab² as follows:
Step 1: Found the greatest common factor (GCF) of 12a²b and 18ab² as 6ab.
Step 2: Divided each term by the GCF: (12a²b) ÷ (6ab) = 2a and (18ab²) ÷ (6ab) = 3b.
Step 3: Wrote the factored form as 6ab(2a + 3b).
Which of the following statements is true regarding Rahul's solution?
Step 1: Found the greatest common factor (GCF) of 12a²b and 18ab² as 6ab.
Step 2: Divided each term by the GCF: (12a²b) ÷ (6ab) = 2a and (18ab²) ÷ (6ab) = 3b.
Step 3: Wrote the factored form as 6ab(2a + 3b).
Which of the following statements is true regarding Rahul's solution?
A.Step 1 is incorrect because the GCF should be 3ab.
B.Step 2 is incorrect because (18ab²) ÷ (6ab) should be 3ab.
C.Step 3 is incorrect because the terms inside the bracket should be subtracted.
D.Rahul's solution is completely correct.
Difficulty: Easy
Q4.Factorize the expression ab + bc + ax + cx.
A.(a + c)(b + x)
B.(a + b)(c + x)
C.(a + x)(b + c)
D.(a + c)(b - x)
Difficulty: Easy
Q5.Consider the expression 7p²q - 14pq². Two students, Priya and Rohan, tried to factorize it.
Priya's factorization: 7pq(p - 2q)
Rohan's factorization: 7(p²q - 2pq²)
Which of the following statements is true?
Priya's factorization: 7pq(p - 2q)
Rohan's factorization: 7(p²q - 2pq²)
Which of the following statements is true?
A.Only Priya's factorization is correct as she took out the greatest common factor.
B.Only Rohan's factorization is correct as he only took out the numerical common factor.
C.Both Priya's and Rohan's factorizations are correct and complete.
D.Both Priya's and Rohan's factorizations are incorrect.
Difficulty: Easy
Q6.Factorize the expression 5x³ - 10x² + 25x.
A.5x(x² - 2x + 5)
B.5(x³ - 2x² + 5x)
C.x(5x² - 10x + 25)
D.5x(x² + 2x - 5)
Difficulty: Easy
Q7.If (x - 3) is a factor of the expression x² - 8x + 15, which of the following must be the other factor?
A.(x + 5)
B.(x - 5)
C.(x + 3)
D.(x - 8)
Difficulty: Easy
Q8.Factorize the expression 5(x - 2y) - 3z(x - 2y).
A.(x - 2y)(5 - 3z)
B.(x - 2y)(5 + 3z)
C.(5 - 3z)(x + 2y)
D.(5 + 3z)(x - 2y)
Difficulty: Easy
Answer Key — Sample Questions+
Q1:It is the process of breaking down an algebraic expression into a product of two or more simpler expressions (its factors).
Q2:3x(2y - 3)
Q3:Rahul's solution is completely correct.
Q4:(a + x)(b + c)
Q5:Only Priya's factorization is correct as she took out the greatest common factor.
Q6:5x(x² - 2x + 5)
Q7:(x - 5)
Q8:(x - 2y)(5 - 3z)
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Factorization |
|---|---|
| Board | CBSE |
| Class | 8 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 8 CBSE
Frequently Asked Questions
Where can I download free factorization sums for Class 8?+
You can download a free Factorization PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 practice questions (factorisation using common factors, regrouping, algebraic identities, and division method) at easy, medium, and hard levels with a complete answer key.
How many factorization questions are in this Class 8 worksheet?+
This SparkEd worksheet for Factorization Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover factorisation using common factors, regrouping, algebraic identities, and division method. A fresh set is generated daily so students never repeat the same sheet.
Does the Factorization worksheet for Class 8 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this factorization worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 8 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Factorization worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Practice Factorization Sums Online — Class 8 CBSE
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