Factors S3 Credit Factors Example : Find the factors of 56.

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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 www.mathsrevision.com 4 and 14 7 and 8 28-Mar-17 Created by Mr. Lafferty@mathsrevision.com

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

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 www.mathsrevision.com HCF = 4 28-Mar-17 Created by Mr. Lafferty@mathsrevision.com

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 www.mathsrevision.com 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. Lafferty@mathsrevision.com 10 and x

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 www.mathsrevision.com 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. Lafferty@mathsrevision.com

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 www.mathsrevision.com 4h ab 28-Mar-17 Created by Mr. Lafferty@mathsrevision.com

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( ) www.mathsrevision.com 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. Lafferty@www.mathsrevision.com

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( ) www.mathsrevision.com 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. Lafferty@www.mathsrevision.com

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) www.mathsrevision.com a(6 + 7a) y(y – 1) 28-Mar-17 Created by Mr. Lafferty@mathsrevision.com