Give your learners a chance to deepen their number sense with this Year 6 factors and multiples worksheet. The first section focuses on identifying the lowest common multiples of given pairs of numbers, while the second builds on this by asking children to calculate the greatest common factors. The final task involves a reasoning challenge where pupils complete a table by identifying numbers that match both a set of factors and a list of multiples. This KS2 worksheet is ideal for building fluency with multiplication and division facts and developing the logical thinking needed for problem-solving.
Key Curriculum Focus
This KS2 calculation worksheet aligns with the national curriculum by supporting:
- Identifying common factors, common multiples and prime numbers
- Solving number problems and practical problems involving multiplication and division
- Reasoning mathematically by recognising number relationships and patterns
This Year 6 factors and multiples worksheet helps children consolidate their understanding of number properties and apply them flexibly. By working out the lowest common multiples and highest common factors, learners develop a solid foundation in number relationships. The table-completion task also strengthens reasoning and supports pupils in drawing links between factor pairs and multiples, reinforcing core knowledge needed for more advanced problem-solving.
Factors and Multiples in Year 6 Maths
A factor is a number that divides exactly into another number, while a multiple is the result of multiplying a number by whole numbers. For example, 4 and 5 are factors of 20, while the multiples of 6 include 12, 18 and 24. In Year 6, children learn to identify greatest common factors and lowest common multiples and apply this understanding to simplify problems, find patterns and solve reasoning challenges. These skills are important for later work in fractions, algebra and ratios.
Activity Idea: Number Loop Cards
Create cards showing different numbers, with clues on each one such as “I am a multiple of 6 and 8” or “My factors include 3 and 4.” Pupils take turns solving the clues and connecting the cards to form a loop. This quick game reinforces number facts and encourages discussion about multiples and factors.
Explore more Year 6 maths resources
If your pupils enjoy exploring number patterns and relationships, follow up with the Year 6 Long Division Worksheets to continue developing accuracy with division and deepen their understanding of factors. Explore our complete collection of Year 6 maths worksheets for more KS2 resources that link number skills with reasoning and problem-solving.
