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In Year 3 , children need to be able to recognise multiples of 2, 5 and 10 up to They would be taught the rule that any number that has a last digit that is even 24, 68, They would also learn that any number ending in a 5 or 0 25, , , etc.

Finding factors and multiples

And finally, any number that ends in a 0 20, , etc. By Year 4 , when children have learnt all their times tables they should be able to recognise multiples of any number up to For example, they may be given a number such as 24 and asked if it is a multiple of the following numbers: Their knowledge of times tables should help them to work out that 24 is a multiple of 2, 8 and 6. In Year 5 , children will continue to carry out tasks involving factors and multiples and this will extend to learning about prime numbers and square numbers. Example investigations for Year 6 children could be: Two factors of 90 are added together to make another factor of What are the two factors?


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Two square numbers are added together to make a multiple of 9. What could the two square numbers be?

By Year 6 children need to be really confident not only on knowing what factors and multiples are, but also on quickly working out the factors and multiples of various numbers. This means they can take quickly to these sorts of puzzles. They might able be asked to find the lowest common multiple or highest common factor of two numbers or a group of numbers.


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Factors and Multiples

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