numbers, like everything else, can be split up into smaller parts. for atoms, these smaller parts...

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Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _ _ _ _ _ _ F A C T O R S

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Page 1: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

Numbers, like everything else, can be split up into smaller parts.

For atoms, these smaller parts are called quarks.

For numbers, they are called: _ _ _ _ _ _ _F A C T O R S

Page 2: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

The Horseshoe Method

1 x 30 2 x 15

3 x 10

30

5 x 6

12356

101530

Page 3: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

Divisibility

• How can we tell if a number divides by 2?

• How can we tell if a number divides by 5?

• Can you come up with any rules for the other numbers?

Page 4: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

Divisibility Rules• 2: The last digit is even (0, 2, 4, 6, 8)• 3: Digits add up to a multiple of 3• 4: The last 2 digits make a multiple of 4• 5: The last digit is 0 or 5• 6: The number divides by 2 and 3• 7: (Nothing easy – sorry! Just try dividing)• 8: The last 3 digits make a multiple of 8• 9: Digits add up to a multiple of 9• 10: The last digit is 0

Page 5: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

Some numbers cannot be broken down at all

• These are called: _ _ _ _ _ numbers

Eg: 17 = 1 x 17. (No other factors)

• Find the first 7 prime numbers.

(prime numbers have exactly 2 factors, so 1 is not a prime, but 2 is a prime)

P R I M E

2 3 5 7 11 13 17

Page 6: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

12 18

3 4

2 2

36

2 3

Every number can be broken down until it is just prime

numbers multiplied together.

2 x 2 x 3 2 x 3 x 3

Page 7: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

10 42

Does it divide by 10? By 5? By 2? By 3?

If none, check 7, 11, ...

Otherwise, prime.

22 215

7 3

420 = 22×3×5×7

Page 8: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

Use the factor tree method to break down these numbers into their smallest parts (‘prime factors’)

28

32

45

100

68

5050

48

19

891

Page 9: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

Page 10: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

Page 11: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

12 18

3 4

2 2

36

2 3

2 x 2 x 3 2 x 3 x 3

Page 12: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

2 x 3 x 32 x 2 x 3

181212 183 2 2= x x 32 3 xx =HCF: 2 x 3 = 6

LCM: 2 x 2 x 3 x 3 = 36

Page 13: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

50 70

5 10

2 5

710

2 5

2 x 5 x 5 2 x 5 x 7

Page 14: Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _

50 702 x 5 x 72 x 5 x 5

50 705 2 5= x x 72 5 xx =HCF: 2 x 5 = 10

LCM: 2 x 5 x 5 x 7= 350

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