MathsFreePrintable

Factors and Multiples 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.

Factors and Multiples Exploration worksheet preview

Factors and Multiples Exploration

Mathematical arrays and number patterns

🎯 WALT: We Are Learning To identify factors and multiples

Success Criteria: I can explain what factors and multiples are, find factor pairs, and recognise patterns.

1. Circle the correct definition of a factor:

A number that is added to another number

A number that divides exactly into another number

A number that is always bigger than 10

2. Which of these are factors of 12? (Tick all that apply)

1

2

3

4

5

6

3. Complete the factor pairs for 24:

1 × _____ = 24

2 × _____ = 24

3 × _____ = 24

4 × _____ = 24

4. Circle the first five multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56

✏️ Pattern Investigation

5. Look at the multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

What pattern do you notice about the last digit? _________________________

6. Find all the factors of 36. Draw arrays or use the space to show your working:

List all factors of 36: ________________________________________

7. True or False? Circle your answer and explain why:

Every number is a multiple of itself. TRUE / FALSE

8. Challenge Question: I am thinking of a number between 20 and 30. It has exactly 6 factors. What number am I thinking of?

My number is: _______

The 6 factors are: ________________________________________

🌟 Creative Connection

9. Real-life factors! A baker needs to arrange 18 cupcakes in equal rows for display. List three different ways she could arrange them:

Way 1: _____ rows of _____ cupcakes

Way 2: _____ rows of _____ cupcakes

Way 3: _____ rows of _____ cupcakes

10. Reflection: Explain in your own words the difference between factors and multiples. Use an example to help explain:

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