Divisibility tests for 4 and 8
I can identify and explain whether a number is or is not a multiple of a given integer.
Divisibility tests for 4 and 8
I can identify and explain whether a number is or is not a multiple of a given integer.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A number is a multiple of 4 if and only if the last two digits are a multiple of 4.
- Any multiple of 4 is also a multiple of 2.
- A number is a multiple of 8 if and only if the last three digits are a multiple of 8.
- Any multiple of 8 is also a multiple of 4 and 2.
Keywords
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
Common misconception
Often students only consider the last 2 digits of a number to check for divisibility for 8.
The last 2 digits check for divisibility for 4 not 8.
To help you plan your year 7 maths lesson on: Divisibility tests for 4 and 8, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Divisibility tests for 4 and 8, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Properties of number: factors, multiples, squares and cubes unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
Loading...
Starter quiz
6 Questions
Exit quiz
6 Questions
For all multiples of 2 ... -
the digit in the ones column is a 0, 2, 4, 6 or 8
For all multiples of 4 ... -
the last two digits are a multiple of 4
For all multiples of 8 ... -
the last three digits are a multiple of 8
For all multiples of 9 ... -
the sum of the digits are a multiple of 9
For all multiples of 10 ... -
the digit in the ones column is a 0