Finding All Factors: Error Analysis & Misconceptions
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on identifying and understanding all factors of numbers, addressing common misconceptions and errors students may have.
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Finding All Factors: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer the following questions by listing all the factors. Show your working in the grid spaces provided.
1.
List all factors of 36.
[2 marks]2.
Find all factors of 20.
[2 marks]3.
List the factors of 15.
[2 marks]4.
Identify all factors of 50.
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems. Explain your reasoning clearly.
1.
A number has factors 1, 2, 4, 8, and 16. What is the number? How do you know?
[4 marks]2.
The product of two numbers is 36. Their factors overlap at 1, 2, and 3. Find the two numbers.
[4 marks]C
Real-world Applications
Apply your knowledge to these real-world scenarios.
1.
A farmer has 48 apples. He wants to pack them equally in boxes, with no apples left over. What are all the possible numbers of apples per box?
[3 marks]D
Challenge & Extension
Attempt these more challenging questions on finding all factors.
1.
Find all factors of 1001. Explain your method.
[4 marks]2.
Determine whether 84 has more factors than 60. Show your calculations.
[3 marks]E
Mixed Review
Answer these questions to review various aspects of finding factors.
1.
List all factors of 81.
[2 marks]2.
A number is divisible by 2 and 3. List all factors of the number 36 and verify if 12 is a factor.
[3 marks]F
Error Analysis & Misconceptions
Below are common mistakes made when finding factors. Read each and identify the error, then correct it.
1.
Student says: 'Factors of 20 are 1, 2, 4, 5, 10, 25 because 25 divides 20 evenly.' Identify the mistake and correct the list.
[4 marks]2.
A student lists the factors of 50 as 1, 2, 5, 10, 25, 50, 100. What is the error?
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet