Factors and multiples

There are 252 NRICH Mathematical resources connected to Factors and multiples

problem

Favourite

Alison's quilt

Age

11 to 14

Challenge level

Nine squares are fitted together to form a rectangle. Can you find its dimensions?

problem

Favourite

Bracelets

Age

7 to 11

Challenge level

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

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Favourite

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

Favourite

Factor lines

Age

7 to 14

Challenge level

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

problem

Favourite

Diagonal product sudoku

Age

11 to 16

Challenge level

Given the products of diagonally opposite cells - can you complete this Sudoku?

problem

Favourite

How much can we spend?

Age

11 to 14

Challenge level

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

problem

Favourite

Light the lights again

Age

7 to 11

Challenge level

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

problem

Favourite

Sweets in a box

Age

7 to 11

Challenge level

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

problem

Favourite

Zios and zepts

Age

7 to 11

Challenge level

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

problem

Favourite

Two primes make one square

Age

7 to 11

Challenge level

Can you make square numbers by adding two prime numbers together?

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For younger learners

Factors and multiples

Alison's quilt

Bracelets

American billions

Factor lines

Diagonal product sudoku

How much can we spend?

Light the lights again

Sweets in a box

Zios and zepts

Two primes make one square