Starter Questions Q1. Multiply out (a) a (6h – 3x) Q2. 60p is spilt between William and Alan in a ratio of 2:3. How much does each person get? Q3. Write down all the number that divide into 12 without leaving a remainder.

To explain how to find Highest Common Factors Using Factors Learning Intention To explain that a factor divides into a number without leaving a remainder To explain how to find Highest Common Factors

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 8

Factors Example : Find the factors of 64. Numbers that divide into 64 without leaving a remainder F64 = 1 and 64 2 and 32 4 and 16 8 and 8

Factors Example : Find the factors of 24. Numbers that divide into 24 without leaving a remainder F24 = 1 and 24 2 and 12 3 and 18 4 and 6

Factors Highest Common Factor Largest Same Number We need to write out all factor pairs in order to find the Highest Common Factor.

Factors Example : Find the HCF of 8 and 12. F8 = 1 and 8 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

Factors Example : Find the HCF of 6 and 18. F6 = 1 and 6 Highest Common Factor Example : Find the HCF of 6 and 18. F6 = 1 and 6 2 and 3 F18 = 1 and 18 2 and 9 3 and 6 HCF = 6

Factors Example : Find the HCF of 9 and 27. F9 = 1 and 9 Highest Common Factor Example : Find the HCF of 9 and 27. F9 = 1 and 9 3 and 3 F27 = 1 and 27 3 and 9 HCF = 9

Factors F ab =1 and ab F2b = 1 and 2b a and b 2 and b HCF = b 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

Factors Example : Find the HCF of 16 and 48. F16 = 1 and 16 Highest Common Factor Example : Find the HCF of 16 and 48. F16 = 1 and 16 2 and 8 4 and 4 F48 = 1 and 48 2 and 24 3 and 16 4 and 12 6 and 8 HCF = 6

Factors Example : Find the HCF of 4x and x2. F4x = 1, and 4x 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 10 and x

Factors 8w 3y 4h ab Find the HCF for these terms (a) 16w and 24w 9y2 and 6y (c) 4h and 12h2 (d) ab2 and a2b 3y 4h ab

Factors Now try Ex 2 Ch15 (page 173)