Divisibility

There are 75 NRICH Mathematical resources connected to Divisibility

problem

What numbers can we make now?

Age

11 to 14

Challenge level

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

problem

Multiple surprises

Age

11 to 16

Challenge level

Sequences of multiples keep cropping up...

problem

Division rules

Age

7 to 11

Challenge level

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

problem

Odd stones

Age

14 to 16

Challenge level

On a "move" a stone is removed from two of the circles and placed in the third circle. Here are five of the ways that 27 stones could be distributed.

problem

Fac-finding

Age

14 to 16

Challenge level

Lyndon chose this as one of his favourite problems. It is accessible but needs some careful analysis of what is included and what is not. A systematic approach is really helpful.

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

Prime AP

Age

16 to 18

Challenge level

What can you say about the common difference of an AP where every term is prime?

problem

Neighbours

Age

7 to 11

Challenge level

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

problem

LCM Sudoku

Age

14 to 16

Challenge level

Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

problem

What an odd fact(or)

Age

11 to 14

Challenge level

Can you show that 1^99 + 2^99 + 3^99 + 4^99 + 5^99 is divisible by 5?

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For younger learners

Divisibility

What numbers can we make now?

Multiple surprises

Division rules

Odd stones

Fac-finding

Take three from five

Prime AP

Neighbours

LCM Sudoku

What an odd fact(or)