Prime Factor Method: Challenge & Extension
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the Highest Common Factor (HCF) using the Prime Factor Method, including challenging and extension questions for GCSE Higher students.
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Prime Factor Method: Challenge & Extension
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.
Find the prime factorisation of 48.
[2 marks]2.
Find the prime factorisation of 75.
[2 marks]3.
Calculate the HCF of 48 and 75 using the Prime Factor Method.
[3 marks]4.
Find the prime factorisation of 132.
[2 marks]5.
Calculate the HCF of 132 and 75.
[3 marks]6.
A school is organising two different sports events. The number of participants in the first event is 120, and in the second event is 150. Find the largest number of groups they can form so that each group has the same number of participants in each event, using the Prime Factor Method.
[4 marks]7.
Express 180 as a product of its prime factors. Then, find the HCF of 180 and 240.
[4 marks]8.
Using the prime factor method, find the HCF of 84, 126, and 210.
[4 marks]9.
Construct a triangle on the grid with side lengths that have prime factors 2, 3, and 5, respectively. Indicate the side lengths in prime factor form.
[3 marks]10.
A box contains 120 red balls, 150 blue balls, and 90 green balls. Find the greatest number of identical boxes that can be packed so each box has the same number of each color, using the Prime Factor Method.
[4 marks]11.
Identify and correct the mistake: Find the prime factorisation of 100 as 2^3 × 5, then incorrectly conclude that the HCF of 100 and 75 is 25.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet