Prime Factor Method: Problem Solving & Reasoning
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating HCF using the Prime Factor Method, designed to enhance problem-solving and reasoning skills for Grade 6 students.
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Full preview • 11 questions
Prime Factor Method: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the prime factors of 48 and 60. Then, determine their Highest Common Factor (HCF) using the Prime Factor Method.
[3 marks]2.
Calculate the HCF of 84 and 126 using prime factorization.
[2 marks]3.
Two numbers have prime factors as follows: Number 1: 2² × 3 × 7 and Number 2: 2³ × 3² × 5. Find their HCF.
[2 marks]4.
Using the prime factor method, find the HCF of 120 and 150.
[3 marks]5.
A school is arranging books in shelves. Shelf A has 72 books and Shelf B has 108 books. What is the largest number of shelves they can divide these books into so that each shelf has the same number of books? Use prime factorization to find the answer.
[4 marks]6.
Construct a pair of numbers such that their HCF is 8 using the Prime Factor Method. Show your prime factorization.
[4 marks]7.
Find the HCF of 90 and 105 by listing their prime factors and identifying the common ones.
[2 marks]8.
A factory produces two types of items with batch sizes of 56 and 84. What is the maximum size of each batch if they are to be divided equally? Use prime factorization.
[3 marks]9.
Identify the common prime factors of 144 and 180 and use them to find the HCF.
[2 marks]10.
Challenge: Find two numbers between 50 and 100 that have an HCF of 10 using prime factors. Show your working.
[4 marks]11.
Error Analysis: A student finds the HCF of 45 and 60 as 15 by only listing some prime factors. Identify and correct the mistake in their process.
[3 marks]Quick Actions
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Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet