9 x 14 9 x 12 Calculate the value of the following: 1 4 × 9 = Starter: Answer the questions below in your books Calculate the value of the following: 1 4 × 9 = (9 + 7) × 4 = (24 ÷ 3) × (26 – 14) = 4 × (32 ÷ 8) = 20 × 31 = 25 × 87 = 9 x 14 9 x 12

9 x 14 9 x 12 Mark your starter: 1 4 × 9 = 36 (9 + 7) × 4 = 64 Starter: Answer the questions below in your books Mark your starter: 1 4 × 9 = 36 (9 + 7) × 4 = 64 (24 ÷ 3) × (26 – 14) = 96 4 × (32 ÷ 8) = 16 20 × 31 = 620 25 × 87 = 2175 9 x 14 9 x 12

2×3²×5 Fundamental Theorem of Arithmetic Break a number down into prime factors 2×3²×5 Find the prime factors of a number and write it correctly. Know that the Fundamental Theorem of Arithmetic is… Find the factors and prime factors of a number.

Remember: a prime number is any number that has exactly two factors Remember: a prime number is any number that has exactly two factors. Prime numbers are really important in mathematics as they form the building blocks of the whole subject. Remember: factors are numbers that go into another number. They are always integers (which is a mathematical word for whole numbers). You can think of them as the times tables which contain the final number. So: a prime factor is a factor of a number which also happens to be a prime number. Now: The Fundamental Theorem of Arithmetic is that every number greater than 2 is the product of a unique set of prime factors.

Work out the prime factors of each number between 20 and 40. 20= 22 × 5 21= 3 × 7 22= 23= 24 = . 39 = 40 = Note that you always start with the lowest number. Note that the different numbers are separated by multiplication signs. If there is more than one of a particular prime factor, we write how many there are as an index in the corner.

The answers are next…

20= 22 × 5   31= 31 21= 3 × 7 32= 25 22= 2 × 11 33= 3 × 11 23= 23 34= 2 × 17 24= 23 × 3 35= 5 × 7 25= 52 36= 22 × 32 26= 2 × 13 37= 37 27= 33 38= 2 × 19 28= 22 × 7 39= 3 × 13 29= 29 40= 23 × 5 30= 2 × 3 × 5