MathsFreePrintable
Prime Factorisation Exploration
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Prime Factorisation Exploration
📚 Part 1: Quick Checks — Divisibility & Primes
1. Which of these is a prime number?
21
29
35
49
2. Which rule tells you a number is divisible by 3?
The last digit is 0 or 5
The sum of the digits is divisible by 3
The number ends in an even digit
3. Check all that apply: Which of these are divisible by 5?
125
130
142
150
4. Which number has prime factorisation 2 × 2 × 5 × 5?
20
50
100
40
✏️ Part 2: Short Answers & Factor Trees
5. Prime factorise 84. Show your working below:
6. Draw a factor tree for 90 on the board or here:
7. Write the prime factor form of 90 as a product of primes (use indices if you like):
8. Use prime factors to find the highest common factor (HCF) of 48 and 180. Show your steps:
9. Reflection: In one sentence, explain a pattern you noticed about even composite numbers and the prime 2.
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
