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Factors

Category: GCSE

Question

What is factorisation? How do you find the factors of 50?

grandpa

Factorisation and finding the factors of a number are two different things.You might need to factorise an expression like 6a+9:

In this case you will need to find the HCF(Highest common factor) of 6a and 9 which is 3 and divide each one by the HCF.

The expression then is 6a+9=3(2a+3)

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In order to find the factors of 50, you will need to find out which numbers divide into it exactly, this includes 1 and 50 itself.

The easiest way to find the factors of 50 is to pair them like below.

50=1 x 50

50= 2 x 25

3 and 4 are not possible as they do not divide exactly into 50

50=5 x 10

6 , 7 , 8 and 9 are also not possible

therefore the factors of 50 are 1,2,5,10,25 and 50

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