Divisibility

There are 75 NRICH Mathematical resources connected to Divisibility
What numbers can we make now?
problem
Favourite

What numbers can we make now?

Age
11 to 14
Challenge level
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Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

Multiple Surprises
problem
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Multiple surprises

Age
11 to 16
Challenge level
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Sequences of multiples keep cropping up...
Division Rules
problem
Favourite

Division rules

Age
7 to 11
Challenge level
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This challenge encourages you to explore dividing a three-digit number by a single-digit number.
The Remainders Game
game
Favourite

The remainders game

Play this game and see if you can figure out the computer's chosen number.

American Billions
problem
Favourite

American billions

Age
11 to 14
Challenge level
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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...
Big Powers
problem
Favourite

Big powers

Age
11 to 16
Challenge level
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Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.
Peaches today, Peaches tomorrow...
problem
Favourite

Peaches today, peaches tomorrow...

Age
11 to 14
Challenge level
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A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
Dozens
problem
Favourite

Dozens

Age
7 to 14
Challenge level
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Can you select the missing digit(s) to find the largest multiple?
Share Bears
problem
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Share bears

Age
5 to 7
Challenge level
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Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
Curious number
problem
Favourite

Curious number

Age
7 to 11
Challenge level
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Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?