2. Warm up – back of your books 1.Three businessmen sell a Car for £2451. They decide to divide the money evenly between themselves. How much do each get? 2.Mr Dad has seven sons. Each is to receive an equal share of his land, totalling 8022 acres. How many acres does each son get to keep?

3. Three businessmen sell a Car for £2451. They decide to divide the money evenly between themselves. How much do each get? Use the ‘bus shelter’ method... 24513 22 0817 Each would get £817...

4. Mr Dad has seven sons. Each is to receive an equal share of his land, totalling 8022 acres. How many acres does each son get to keep? 80227 14 1146 Each would get 1146 acres... 3

5. Multiples We will be discovering how to identify if a BIG number is a multiple of a SMALL number You will be able to identify multiples of 2,3,4,5 and 6

7. Tests of Divisibility Which of these numbers divide by 2? How do you know? 18 123 2341 9 32 568.4 190 266 Numbers that are divisible by 2 end in a 0, 2, 4, 6 or 8 (ie) They are even!)

8. Tests of Divisibility Which of these numbers divide by 3? How do you know? 30 6 321 61 165 3003 224 17 Numbers that are divisible by 3 have digits that add up to a multiple of 3... 3 + 0 = 3 3 + 2 + 1 = 6 6 = 6 3 + 0 + 0 + 3 = 6 6 + 1 = 7 1 + 6 + 5 = 12 1 + 7 = 8 2 + 2 + 4 = 8

9. Tests of Divisibility Which of these numbers divide by 4? How do you know? 16 312 224 509 918 732 342 5604 Numbers are divisible by 4 if their last 2 digits are divisible by 4... 16 ÷ 4 = 4 42 cannot divide by 4 18 cannot divide by 4 32 ÷ 4 = 8 24 ÷ 4 = 6 04 ÷ 4 = 1 09 cannot divide by 4 12 ÷ 4 = 3

10. Tests of Divisibility Which of these numbers divide by 5? How do you know? 23 2735 540 730 295 732 502 71 Numbers are divisible by 5 if their last digit is either 0 or 5...

11. Tests of Divisibility Which of these numbers divide by 6? How do you know? 12 123 540 152 9246 73251 258 Numbers are divisible by 6 if they are divisible by both 2 and 3... So they must be even, and their digits add up to a multiple of 3... 1 + 2 = 3 5 + 1 = 6 But not Even 9 + 2 + 4 + 6 5 + 4 + 0 = 9 7 + 3 + 2 = 12 2 + 5 + 8 = 15 1 + 5 + 2 = 8 1 + 2 + 3 = 6 But not Even

12. Plenary A number is divisible by 6 if it is divisible by both 2 and 3 Why does this work? Because 2 x 3 = 6 (ie 2 and 3 are the factors of 6) If a number is divisible by 3 and 5, what bigger number will it also divide by? 15 as 3 x 5 = 15 If another number is divisible by 3 and 7, what will it also divide evenly by? 21 as 3 x 7 = 21

13. Summary We have learnt how check whether certain numbers are divisible by 2, 3, 4, 5, or 6 As said, this can be useful for checking answers The patterns can also be used to work out factors of bigger numbers...