Prime Factor Method: Real-world Applications
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the Prime Factor Method for determining HCF in real-world business and finance contexts, suitable for GCSE Higher students.
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Prime Factor Method: Real-world Applications
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorize 24 and 36 into their prime factors. Find their HCF using the Prime Factor Method.
[3 marks]2.
Calculate the HCF of 45 and 60 by listing their prime factors. Show your working.
[3 marks]3.
In a business, two suppliers deliver packages with weights of 84kg and 126kg. What is the maximum weight that can be evenly divided into both packages? Use the Prime Factor Method.
[4 marks]4.
Prime factorize 100 and 150. Determine their HCF.
[3 marks]5.
A factory produces boxes of chocolates in batches of 48 and 60. Find the largest size of a box that can be evenly packed from both batches.
[4 marks]6.
Factorize 81 and 99 into prime factors. Find their HCF.
[3 marks]7.
A company has two projects requiring 120 hours and 150 hours of work respectively. Find the maximum number of identical teams that can work on both projects without any leftover hours.
[4 marks]8.
Calculate the HCF of 56 and 48 using prime factorization.
[3 marks]9.
Determine the HCF of 72, 120, and 150 by prime factorization. Show all your working.
[4 marks]10.
If two numbers have prime factors 2^3 * 3 and 2^2 * 3^2, what is their HCF?
[3 marks]11.
Identify the common prime factors and the HCF of 120 and 144. Explain your working.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet