Factors and multiples

There are 252 NRICH Mathematical resources connected to Factors and multiples

problem

Favourite

Round and round the circle

Age

7 to 11

Challenge level

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

problem

Favourite

Common divisor

Age

14 to 16

Challenge level

Find the largest integer which divides every member of the following sequence: 1^5-1, 2^5-2, 3^5-3, ... n^5-n.

problem

Favourite

Abundant numbers

Age

7 to 11

Challenge level

48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

problem

Favourite

Always, sometimes or never? number

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?

problem

Favourite

Count me in

Age

7 to 11

Challenge level

How do you know whether you will reach these numbers when you count in steps of six from zero?

problem

Favourite

Space distances

Age

7 to 11

Challenge level

This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.

problem

Favourite

Statement snap

Age

7 to 14

Challenge level

You'll need to know your number properties to win a game of Statement Snap...

problem

Favourite

Satisfying four statements

Age

7 to 11

Challenge level

Can you find any two-digit numbers that satisfy all of these statements?

problem

Favourite

Robotic rotations

Age

11 to 16

Challenge level

How did the the rotation robot make these patterns?

problem

6 by 6 mathdokus

Age

7 to 16

Challenge level

Can you use the clues to complete these 6 by 6 Mathematical Sudokus?

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For younger learners

Factors and multiples

Round and round the circle

Common divisor

Abundant numbers

Always, sometimes or never? number

Count me in

Space distances

Statement snap

Satisfying four statements

Robotic rotations

6 by 6 mathdokus