Prime Factor Method: Fluency & Practice
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the Prime Factor Method to find the Highest Common Factor (HCF). Students will develop procedural mastery and problem-solving skills related to prime factorization.
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Full preview • 12 questions
Prime Factor Method: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Prime factorize 36 and 48 and find their HCF using the Prime Factor Method.
[3 marks]2.
Find the HCF of 60 and 84 by listing their prime factors.
[2 marks]3.
Prime factorize 81 and 54. Which is the HCF?
[2 marks]4.
Using the Prime Factor Method, find the HCF of 100 and 250.
[3 marks]5.
Prime factorize 45 and 75. Show all steps and find the HCF.
[3 marks]6.
Construct the prime factorizations of 42 and 56 and determine their HCF.
[3 marks]7.
Find the HCF of 72 and 108 using prime factorization. Show your working.
[3 marks]8.
A teacher has 48 stickers and 60 erasers. Find the largest number of sets she can make with each set having equal items, using the Prime Factor Method.
[4 marks]9.
Explain why the HCF of 18 and 24 is found by prime factorization, not simply listing common factors.
[4 marks]10.
Identify and correct the mistake: The student found the HCF of 45 and 60 as 20 by listing factors. What's wrong?
[4 marks]11.
Challenge: Find the HCF of 210 and 330 using prime factorization. Show all steps and explain your reasoning.
[4 marks]12.
Extension: Two numbers have prime factorizations 2²×3 and 2×3². Find their HCF and explain why.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet