Factors & Multiples Factor: Is a number you can multiple with another number to get a larger product.

ex. 1, 2, 3, 4 and 6 are factors of 12 Multiple: Is the product of two smaller numbers.

ex. 12 is a multiple of 1, 2, 3, 4 and 6. Can you find all the factors of 48? How about any five multiples of 7? Prime Numbers Prime Number: Is a number that is a product of only itself and 1.

Therefore it only has 2 factors. Here are the first five prime numbers

2,3,5,7,11,...

Can you find the next three? What is so special about the number 2? Otherwise the product is called a composite number and has more than 2 factors. Index Laws p m p n x = p m+n p m p n p m-n = (p ) m n = p m x n p -n p m 1 1 = p =p n -m p = 1 0 p n 1 p n = OR Lets use these index laws on these algebraic expressions p = 1 0 p n 1 p n = p m 1 = p -m p -n 1 =p n p m p n p m-n = (p ) m n = p m x n p m p n x = p m+n & p m p n x = p m+n & p m p n x = p m+n & p m p n x = p m+n & p m p n x = p m+n & p = 1 0 p n 1 p n = p m 1 = p -m p -n 1 =p n p m p n p m-n = (p ) n = p m x n p m p n x = p m+n & m Algebraic

Expressions Factoring algebraic expressions:

Remember to collect Common factors (Like Terms). Expanding algebraic expressions:

Remember to multiple each term in the bracket. i 3.14 8 reciprocals 3xy + 15y 2(ax + b)

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# Maths Lesson

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