Factor Trees: Problem Solving & Reasoning
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focused on using factor trees to find prime factorizations. Includes a range of questions from basic practice to challenging problem solving and real-world scenarios.
Worksheet Preview
Full preview • 12 questions
Factor Trees: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct a factor tree for 36 and list its prime factors.
[2 marks]2.
Construct a factor tree for 60 and determine its prime factorization.
[2 marks]3.
Use a factor tree to find the prime factors of 84.
[2 marks]4.
Construct a factor tree for 150 and list all prime factors.
[2 marks]5.
Construct a factor tree for 100 and identify its prime factors.
[2 marks]6.
Using a factor tree, find the prime factors of 48.
[2 marks]7.
Construct a factor tree for 225 and state its prime factors.
[2 marks]8.
A number has prime factors 2, 3, and 5. What is the smallest possible number with these prime factors? Show your working.
[3 marks]9.
Construct a factor tree for 144 and determine its prime factors.
[2 marks]10.
Identify and correct the mistake in this factor tree for 45: [Construct a typical incorrect factor tree, e.g., splitting 45 into 9 and 5, then further into 3, 3, and 5, but missing the step of breaking 9 into 3 and 3.]
[3 marks]11.
Construct a factor tree for 210 and find all prime factors. Then, explain why the prime factors are important in simplifying algebraic expressions.
[4 marks]12.
Using a factor tree, find the prime factors of 63 and illustrate the tree on the grid provided.
[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