Dozens
Age 7 to 14
Challenge Level
This problem offers a twist on the usual way of thinking about divisibility tests.
Stars
Age 11 to 14
Challenge Level
This problem encourages students to see the maths underpinning a situation. In this case it is the importance of factors and multiples in what is at first glance a geometrical setting.
Factors and Multiples Game
Age 7 to 16
Challenge Level
This game can replace standard practice exercises on finding factors and multiples.
Factors and Multiples Puzzle
Age 11 to 14
Challenge Level
This puzzle provides an interesting context which challenges pupils to apply their knowledge of the properties of numbers.
Divisibility Tests
Age 11 to 16
This article explains various divisibility rules and why they work. An article to read with pencil and paper handy.
Sieve of Eratosthenes
Age 11 to 14
Challenge Level
This problem offers students opportunities to explore the connection between primes and multiples.
American Billions
Age 11 to 14
Challenge Level
This is an engaging context in which to reinforce rules of divisibility and challenge students to reason mathematically and work systematically.
Take Three from Five
Age 11 to 16
Challenge Level
This problem offers students the opportunity to explore properties of multiples and remainders.
Product Sudoku
Age 11 to 16
Challenge Level
This problem offers an engaging context in which to apply knowledge of factors, multiples and prime factor decomposition.
Factors and Multiples - More Secondary Resources
Age 11 to 16
Some extra resources to support work on Factors and Multiples at Secondary level.
NRICH is part of the family of activities in the Millennium Mathematics Project.