Factors and multiples

There are 252 NRICH Mathematical resources connected to Factors and multiples
Counting Factors
problem
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Counting factors

Age
11 to 14
Challenge level
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Is there an efficient way to work out how many factors a large number has?
Mystery Matrix
problem
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Mystery matrix

Age
7 to 11
Challenge level
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Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Fitted
problem
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Fitted

Age
7 to 11
Challenge level
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Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

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?
Factors and Multiples Puzzle
problem
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Factors and multiples puzzle

Age
11 to 14
Challenge level
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Using your knowledge of the properties of numbers, can you fill all the squares on the board?
LCM Sudoku
problem
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Lcm sudoku

Age
14 to 16
Challenge level
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Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.
Ip Dip
problem
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Ip dip

Age
5 to 11
Challenge level
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"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Grouping Goodies
problem
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Grouping goodies

Age
5 to 7
Challenge level
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Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

Neighbours
problem
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Neighbours

Age
7 to 11
Challenge level
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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?
Lots of Lollies
problem
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Lots of lollies

Age
5 to 7
Challenge level
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Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?