MathsFreePrintable
Factors and Multiples Worksheet
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.

Name:Date:
Factors and Multiples Worksheet
Alex and Charlie are packing milk cartons and organising feed deliveries. Solve each challenge. Show your thinking where asked.
Factor and multiple investigations
A factor divides a number exactly. A multiple is the result of multiplying a number by a whole number.
1.The packing shed has 24 milk cartons. List every factor of 24, from smallest to largest.
2.Charlie puts 36 cartons into equal rows with no cartons left over. Write three different row-by-carton factor pairs for 36.
3.Alex needs to choose a number of crates with exactly three factors. Which number works?
- 10
- 16
- 25
- 27
4.Feed bags arrive in bundles of 8. Show whether 54 feed bags could be made from complete bundles. Explain using a multiplication fact or division.
5.A delivery van makes trips carrying 7 crates each time. Write the first five positive multiples of 7.
6.The chiller alarm checks temperatures every 6 minutes. Choose every time that could be one of its checks.
- 18 minutes
- 20 minutes
- 24 minutes
- 30 minutes
- 32 minutes
7.Evie says 42 is a multiple of both 6 and 7. Is she correct? Prove your answer with two multiplication sentences.
8.A dairy delivery has 84 bottles. Decide whether it can be divided equally among 3 collection points. Use the digit-sum test to justify your answer.
9.Tick all the numbers that divide 60 exactly: 2, 3, 4, 5, 8, 10. Then write one division fact to check one of your choices.
10.Charlie has 72 yoghurt tubs to share equally among 8 farm workers. How many tubs does each worker receive? Show how a factor pair helps you.
11.The farm is planning a delivery of between 50 and 70 crates, inclusive. Find a number in that range divisible by both 3 and 4. Explain how you checked.
12.Challenge: The packing team has between 30 and 40 cartons. The number is a multiple of 6 and a factor of 72. What is the number? Give both facts that prove it.
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










