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Factors What are factors??

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Factors What are the factors of 10? Can you find a pair of numbers that multiply together to give 10? 5 x 2 = 10 So 5 and 2 are factors of 10. Is there another pair of numbers that multiply together to give 10? 1 x 10 = 10 So 1 and 10 are also factors of 10. Factors of 10 = 1,10,2,5

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Factors A pair of numbers that multiply together to give the target number. What are the factors of 8 4 x 2 = 8 1 x 8 = 8 Factors of 8 = 1,8,2,4

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Factors A pair of numbers that multiply together to give the target number. What are the factors of 20 4 x 5 = 20 2 x 10 = 20 Factors of 20 = 1,20,2,10,4,5 1 x 20 = 20

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Factors A pair of numbers that multiply together to give the target number. What are the factors of 7 Factors of 7 = 1,7 1 x 7 = 7 A number with factors of 1 and itself is called a PRIME NUMBER

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Factors Can you think of any other PRIME NUMBERS The First 1000 Primes

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Factors Can you find the other half of the pairs that multiply together to make 36 2 x ? = 36 ? x 36 = 36 6 x ? = 36 3 x ? = 36 4 x ? = 36 2 x 18 = 36 1 x 36 = 36 6 x 6 = 36 3 x 12 = 36 4 x 9 = 36 Factors of 36 = 1,36,2,18,3,12,6,9,4 Can you spot the odd pair?

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Factors Factors of 36 = 1,36,2,18,3,12,6,9,4 The odd pair was 6 x 6 = 36 This pair has identical numbers. This means that 36 is special and is called a SQUARE NUMBER

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Square Numbers Can we find some more Square Numbers??

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We can use this idea of factors to help us with Multiplication. 4 x 2 x 3 0r 3 x 2 x 4 0r 4 x 3 x 2 Are there any other ways of doing this? Will we get the same answer every time?

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We can use this idea of factors to help us with Multiplication. 8 x 4 x 3 x 32 x 24 x 2 x Which could be 4 x 3 x 2 x 2 x 2 Which is 12 double double double x102 2204 x 4 2408 x 8 28016

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We can use this idea of factors to help us with Multiplication. 12 x 4 x 3 x 32 x 26 x 2 x Which could be 3 x 3 x 2 x 2 x 2 x 2 Which is 9 double double double double 3 x 2x 2

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We can use this idea of factors to help us with Multiplication. 17 x 12 6 x 2 = 17 x 3 x 2 x 2 x173 x 2x17X 2 = 51 x 2 x 2 = 204 x107 33021

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Another way of showing this is to record the factors horizontally. 26 x 6=(13 x 2)x(3 x 2) =13 x 3x2 x 2 =39x2 x 2 =78x2 =156 x103 3309 x 9 26018 x708 214016

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