Looking for favourite "rich tasks" from the NRICH collection?
These resources have been chosen because they are ideal for developing knowledge and understanding of Factors and Multiples.
game
Factors and Multiples Game
A game in which players take it in turns to choose a number. Can you block your opponent?
problem
Dozens
Age
7 to 14
Challenge level
Can you select the missing digit(s) to find the largest multiple?
article
Divisibility Tests
This article explains various divisibility rules and why they work. An article to read with pencil and paper handy.
list
Factors and Multiples - More Secondary resources
Some extra resources to support work on Factors and Multiples at Secondary level.
problem
American Billions
Age
11 to 14
Challenge level
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
problem
Factors and Multiples Puzzle
Age
11 to 14
Challenge level
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
problem
Sieve of Eratosthenes
Age
11 to 14
Challenge level
Follow this recipe for sieving numbers and see what interesting patterns emerge.
problem
Take Three From Five
Age
11 to 16
Challenge level
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
problem
Stars
Age
11 to 14
Challenge level
Can you work out what step size to take to ensure you visit all the dots on the circle?
problem
Product Sudoku
Age
11 to 16
Challenge level
The clues for this Sudoku are the product of the numbers in adjacent squares.