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**Created by Mr. Lafferty@mathsrevision.com**

Factors S3 Credit Factors Example : Find the factors of 56. Numbers that divide into 56 without leaving a remainder F56 = 1 and 56 2 and 28 4 and 14 7 and 28-Mar-17 Created by Mr.

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**Factors Highest Common Factor Largest Same Number**

Credit Highest Common Factor Highest Common Factor Largest Same Number We need to write out all factor pairs in order to find the Highest Common Factor. 28-Mar-17 Created by Mr.

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**Created by Mr. Lafferty@mathsrevision.com**

Factors S3 Credit Highest Common Factor Example : Find the HCF of 8 and 12. F8 = 1 and 8 2 and 4 F12 = 1 and 12 2 and 6 3 and 4 HCF = 4 28-Mar-17 Created by Mr.

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**Created by Mr. Lafferty@mathsrevision.com**

Factors S3 Credit Highest Common Factor Example : Find the HCF of 4x and x2. F4x = 1, and 4x Fx2 = 1 and x2 2 and 2x x and x 4 and x HCF = x Example : Find the HCF of 5 and 10x. F5 = 1 and 5 F10x = 1, and 10x 2 and 5x HCF = 5 5 and 2x 28-Mar-17 Created by Mr. 10 and x

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**Created by Mr. Lafferty@mathsrevision.com**

Factors S3 Credit Highest Common Factor Example : Find the HCF of ab and 2b. F ab = 1 and ab a and b F2b = 1 and 2b 2 and b HCF = b Example : Find the HCF of 2h2 and 4h. F 2h2 = 1 and 2h2 2 and h2 , h and 2h F4h = 1 and 4h 2 and 2h 4 and h HCF = 2h 28-Mar-17 Created by Mr.

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**Created by Mr. Lafferty@mathsrevision.com**

Factors S3 Credit Find the HCF for these terms 8w (a) 16w and 24w 9y2 and 6y (c) 4h and 12h2 (d) ab2 and a2b 3y 4h ab 28-Mar-17 Created by Mr.

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**Factorising Example Factorise 3x + 15 1. Find the HCF for 3x and 15 3**

Check by multiplying out the bracket to get back to where you started Factorising S3 Credit Example Factorise 3x + 15 1. Find the HCF for 3x and 15 3 2. HCF goes outside the bracket 3( ) To see what goes inside the bracket divide each term by HCF 3x ÷ 3 = x 15 ÷ 3 = 5 3( x + 5 ) 28-Mar-17 Created by Mr.

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**Factorising Example Factorise 4x2 – 6xy**

Check by multiplying out the bracket to get back to where you started Factorising S3 Credit Example Factorise 4x2 – 6xy 1. Find the HCF for 4x2 and 6xy 2x 2. HCF goes outside the bracket 2x( ) To see what goes inside the bracket divide each term by HCF 4x2 ÷ 2x =2x 6xy ÷ 2x = 3y 2x( 2x- 3y ) 28-Mar-17 Created by Mr.

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**Created by Mr. Lafferty@mathsrevision.com**

Factorising S3 Credit Factorise the following : 3(x + 2) (a) 3x + 6 4xy – 2x 6a + 7a2 (d) y2 - y Be careful ! 2x(2y – 1) a(6 + 7a) y(y – 1) 28-Mar-17 Created by Mr.

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