You are watching: Explain the difference between a factor and a multiple

A

**multiple**is a

**number that deserve to be separated by one more number a certain number of times there is no a remainder**.

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**factor**is**one of 2 or an ext numbers the divides a given number there is no a remainder**.Multiples and also factors are best explained by using a number sentence such together the following:This number sentence tells united state that 20 is a lot of of 5 and also is also a multiple of 4.It also tells us that 5 and 4 are determinants of 20.by

**Year 4**, when youngsters have learnt all their times tables they should have the ability to recognise**multiples of any kind of number up to 10**.For example, they may be provided a number such as 24 and also asked if it is a multiple of the following numbers: 10, 2, 5, 8, 6. Their knowledge of time tables should aid them to job-related out that 24 is a many of 2, 8 and also 6.Children also**learn about factors in Year 4**.They might be inquiry to determine pairs of components of two-digit numbers.For example: they may be given the number 60 and asked to pick out two pairs of determinants from the following numbers: 7, 3, 9, 8, 15, 4, 20. (The answer to this is 3 x 20 and 4 x 15.)They may also need to find common multiples. For example: they may be given the number 6 and also 9 and asked to uncover three multiples that have actually both this numbers as factors. (The three numbers might be: 54, 18 and 36.)In**Year 5**, children will proceed to bring out tasks including factors and multiples and also this will prolong to learning about**prime numbers**and also**square numbers**.Example investigations for Year 6 children could be:*Two determinants of 90 are added together come make another factor the 90. What are the 2 factors?What am I? i am a many of 4. I am in between 25 and 50. Ns am likewise a many of 10.Two square numbers are added together to make a lot of of 9. What might the two square numbers be?*By Year 6 kids need come be really confident not only on learning what factors and also multiples are, but also on quickly working out the factors and multiples of miscellaneous numbers. This method they deserve to take quickly to these sorts that puzzles. They could able be asked to uncover the**lowest common multiple**or**highest typical factor**of 2 numbers or a group of numbers.In

**Year 2**, children are meant to recognise multiples of:2 (these room 2, 4, 6, 8, 10, 12 etc.)5 (these space 5, 10, 15, 20, 25 etc.)and 10 (these are 10, 20, 30, 40, 50 etc.).The foundation for this expertise is started in Year 1 where youngsters practise count in 2s, 5s and also 10s.In

**Year 3**, kids need to have the ability to recognise**multiples that 2, 5 and also 10 up to 1000**.They would be taught the dominion that any kind of number that has actually a critical digit that is also (24, 68, 102. 888 etc) is a multiple of 2. Castle would likewise learn that any kind of number finishing in a 5 or 0 (25, 300, 605, 990 etc.) is a multiple of 5. And finally, any kind of number that ends in a 0 (20, 800, 450 etc.) is a multiple of 10.by

**Year 4**, when kids have learnt all their times tables castle should be able to recognise**multiples of any type of number as much as 10**.For example, they may be offered a number such as 24 and asked if it is a multiple of the following numbers: 10, 2, 5, 8, 6. Their understanding of time tables should assist them to occupational out the 24 is a many of 2, 8 and 6.Children also**learn about factors in Year 4**.They may be request to identify pairs of factors of two-digit numbers.For example: they might be provided the number 60 and also asked to choose out two pairs of components from the following numbers: 7, 3, 9, 8, 15, 4, 20. (The answer to this is 3 x 20 and 4 x 15.)They may additionally need to find usual multiples. Because that example: they might be offered the number 6 and also 9 and also asked to discover three multiples that have both these numbers as factors. (The three numbers can be: 54, 18 and 36.)In**Year 5**, children will continue to lug out tasks involving factors and multiples and this will expand to learning about**prime numbers**and also**square numbers**.Example investigations for Year 6 kids could be:*Two components of 90 are included together come make an additional factor of 90. What are the two factors?What to be I? ns am a multiple of 4. Ns am in between 25 and also 50. Ns am also a multiple of 10.Two square number are added together to do a many of 9. What might the two square numbers be?*By Year 6 kids need come be yes, really confident not just on learning what factors and multiples are, but also on easily working out the factors and also multiples of miscellaneous numbers. This means they deserve to take quickly to these sorts the puzzles. They could able it is in asked to discover the**lowest usual multiple**or**highest typical factor**of two numbers or a group of numbers.See more: Names Of Shepherds In The Bible, How Many Shepherds Are In The Nativity Scene

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