Factors and multiples (8300 - Foundation - Number)

Topic:Factors and multiples

Specification references (in recommended teaching order)

Specification content Specification notes
N4
  • Use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation, and the unique factorisation theorem

  • prime factor decomposition including product of prime factors written in index form

N5
  • Apply systematic listing strategies

  • including using lists, tables and diagrams


The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

  • All students will develop confidence and competence with the content identified by standard type
  • All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
  • Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Factors and multiples - all resources for 3 year route map - zip folder
Downloadable resource in zip format. 08/07/2014
Topic overview and lesson plans
Downloadable resource in doc format. 08/07/2014

Lesson 1 Activity 1
Downloadable resource in doc format. 07/07/2014
Lesson 1 Activity 2
Downloadable resource in doc format. 06/07/2014
Lesson 1 Activity 3
Downloadable resource in doc format. 05/07/2014
Lesson 2 Activity 1
Downloadable resource in doc format. 04/07/2014
Lesson 3 Activity 1
Downloadable resource in doc format. 03/07/2014
Lesson 4 Activity 1
Downloadable resource in doc format. 02/07/2014
Lesson 4 Activity 2
Downloadable resource in doc format. 01/07/2014

Lesson 1 Worksheet 1
Downloadable resource in doc format. 07/07/2014
Lesson 1 Worksheet 2
Downloadable resource in doc format. 06/07/2014
Lesson 2 worksheet 1
Downloadable resource in doc format. 05/07/2014
Lesson 2 worksheet 2
Downloadable resource in doc format. 04/07/2014
Lesson 4 Worksheet 1
Downloadable resource in doc format. 03/07/2014
Lesson 4 Worksheet 2
Downloadable resource in doc format. 02/07/2014
Lesson 4 Worksheet 3
Downloadable resource in doc format. 01/07/2014

Lesson 1 Homework sheet 1
Downloadable resource in doc format. 08/07/2014
Lesson 1 Homework sheet 2
Downloadable resource in doc format. 07/07/2014
Lesson 2 Homework sheet 1
Downloadable resource in doc format. 06/07/2014
Lesson 3 Homework sheet 1
Downloadable resource in doc format. 05/07/2014
Lesson 3 Homework sheet 2
Downloadable resource in doc format. 04/07/2014
Lesson 4 Homework sheet 1a
Downloadable resource in doc format. 03/07/2014
Lesson 4 Homework sheet 1b
Downloadable resource in doc format. 02/07/2014
Lesson 4 Homework sheet 2
Downloadable resource in doc format. 01/07/2014

Diagnostic Questions - Factors and Multiples
AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.24/02/2016

Can you find a perfect number?
Perfect numbers activity29/08/2014
Co Primes
Co primes activity 29/08/2014
Finding Multiples
Finding multiples activity (Carroll diagram) 29/08/2014
Prime Factorization
Prime numbers interactive worksheet. An introduction to prime factorization, followed by six questions assessing understanding.29/08/2014
The Sensational Sudoku Prime
Prime number sudoku 29/08/2014

Prime Factorization
Prime numbers interactive worksheet. An introduction to prime factorization, followed by six questions assessing understanding.29/08/2014

Factors and Multiples
Factors and multiples game 29/08/2014
Fruit Splat
Prime and composites numbers game 29/08/2014

Factors
Factor puzzle 29/08/2014
Prime Numbers
List of the 1st 1000 prime numbers 29/08/2014
Prime Numbers
Prime numbers activity 29/08/2014
Sieve of Eratosthenes
Interactive Sieve of Eratosthenes 29/08/2014

Number - Factors - Problem Sheet
Downloadable resource in doc format. 04/05/2010
Number - Homework sheets
Downloadable resource in doc format. 04/05/2010
Number - Multiples, factors, primes - Teacher handout
Downloadable resource in doc format. 05/04/2010
Number - Multiples, fractions, primes - Lesson plan
Downloadable resource in doc format. 12/05/2010
Number - Multitude - Problem Sheet
Downloadable resource in doc format. 04/05/2010
Number - Numbers as a product of prime factors - Lesson plan
Downloadable resource in doc format. 04/04/2010
Number - Numbers as a product of prime factors - Worksheet
Downloadable resource in doc format. 02/04/2010
Number - Three Four Five - Problem Sheet
Downloadable resource in doc format. 04/05/2010
Sequences - Factors - Worksheet
Downloadable resource in doc format. 12/05/2010
Sequences - Factors, primes and squares - Powerpoint
Downloadable resource in ppt format. 11/05/2010
Sequences - Prime factors - Homework sheet 2
Downloadable resource in doc format. 05/05/2010

Topic Tests

8300 GCSE Foundation Number Properties - Factors Mark Scheme
Downloadable resource in pdf format. 09/09/2022
8300 GCSE Foundation Number Properties - Factors Topic Test
Downloadable resource in pdf format. 09/09/2022
8300 GCSE Foundation Product of Primes (HCF and LCM) Mark Scheme
Downloadable resource in pdf format. 09/09/2022
8300 GCSE Foundation Product of Primes (HCF and LCM) Topic Test
Downloadable resource in pdf format. 09/09/2022

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