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Factors and multiples – Year 5 maths lesson

UK version. UK school years, UK spelling and pounds (£). · US version (Grade 4)

A complete 45-minute lesson for Year 5 (ages 9–10) that runs on this page – at school or at home. Every answer is marked straight away, with a worked explanation.

Time
45 minutes + 20 min homework
Year
Year 5 (ages 9–10)
You need
Paper, a pencil and this page
Marked
Instantly, with explanations

For parents: how to use this lesson

You don't need to know this topic yourself. The lesson explains each step on screen, the way Mr Euclid, our Head of Maths, likes it: one tidy step at a time. Every answer is marked straight away with a worked explanation, so you never have to mark anything.

  1. Read what your child will learn together.
  2. Press Start the lesson below and sit with your child for the teaching and the worked examples (about 19 minutes).
  3. Let them do the practice on their own. They choose Getting started, On track or Challenge – start on On track and move up after a few right in a row.
  4. Finish with the exit ticket and the talk question: “How do you know when you have found all the factors?”
  5. Later that day or the next day: the homework (20 minutes), then a practice test.

Watch out for

  • Mixing up factors and multiples. Factors are few and fit inside; multiples go on for ever.
  • Missing a factor pair (e.g. 3 × 12 for 36). Work up from 1 in order and stop when the pairs meet.

Miss Hypatia's tip for home: Arrange 12 or 24 objects (biscuits, coins) into equal rows in as many ways as possible.

What your child will learn

We are learning to find factors and multiples.

Success looks like

  • I can find all the factor pairs of a number.
  • I can tell factors and multiples apart.
  • I can find common factors.

Key words

factor
divides into a number exactly
factor pair
two factors that multiply to make the number
multiple
a number in the times table
common factor
a factor of two numbers
highest common factor
the biggest common factor

What to have ready

  • Paper and a pencil
  • This page on a computer, tablet or phone
  • For the hands-on part: Make every possible rectangle from 24 counters; each rectangle shows a factor pair. No counters? Draw the rectangles on squared paper.

The lesson, step by step

45 minutes in 5 parts
PartTimeHow it is checked
Starter: quick recall5 minMarked by Classfern
Teaching input10 minNot assessed, self-checked
Worked examples and guided practice9 minNot assessed, marked by Classfern
Independent practice15 minMarked by Classfern
Plenary and exit ticket6 minMarked by Classfern, self-checked

Starter, "your turn", practice and exit ticket are marked by Classfern. Worked examples and teaching are not assessed. The hands-on task and the reflection are self-assessed. Explanations in talk are judged by the parent and not recorded.

The lesson

It runs here on the page. No sign-up and no names – progress is kept only in this browser.

Homework and practice at home

20 minutes: 10 practice questions, 3 multiple-choice questions and 2 to remember from earlier work, then a short reflection. New questions every time, all marked instantly.

More practice

All Year 5 maths lessons and tests · Maths Department

Curriculum

National Curriculum for England, Year 5: “identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers”

Contains public sector information licensed under the Open Government Licence v3.0.

Our lessons and questions are our own. They are not written or endorsed by any government department, testing agency or exam board.