Myths about teaching can hold you back
- Year 7
Expressing an integer as a product of its prime factors
I can write any positive integer uniquely as a product of its prime factors.
- Year 7
Expressing an integer as a product of its prime factors
I can write any positive integer uniquely as a product of its prime factors.
Lesson details
Key learning points
- Every composite number has prime number factors.
- All the factors of a number can be broken down into prime factors.
- Every positive integer can be broken down into prime factors.
- Every positive integer can be written as a product of its prime factors.
- Prime factor products can be simplified by using index notation.
Keywords
Composite - A composite number is an integer with more than two factors. All integers greater than 1 are either composite or prime
Prime factors - Prime factors are the factors of a number that are, themselves, prime.
Unique - Each composite number has a unique product of its prime factors. i.e. there is only one unique way it can be written.
Common misconception
Use of addition instead of multiplication when the decomposing the number.
Reiterate that the product of prime factors is unique.
To help you plan your year 7 maths lesson on: Expressing an integer as a product of its prime factors, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Expressing an integer as a product of its prime factors, 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
Prior knowledge starter quiz
6 Questions
Q1.Fill in the missing word in this statement: A number which has exactly 2 factors is called a number.
Q2.Which of the following arrays shows that 6 is not a prime number?


Q3.Which of the following is not a prime number?
Q4.True or false? 31 is a prime number.
Q5.True or false? All odd numbers between 2 and 10 are prime numbers.
Q6.Which is the odd one out in this list? 37, 47, 57, 67
Assessment exit quiz
6 Questions
Q1.Fill in the missing word: Integers greater than 1 are either or prime.
Q2.What number is missing in this statement? Composite numbers have more than factors
Q3.What is the missing number in the first step in the process to find prime factors of 12? $$12 = 2 ×$$
Q4.What is the missing product in this process to find prime factors of 12?
