2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

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2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97...

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Page 1: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97...

Page 2: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

PRIME FACTOR DECOMPOSITION

This is the process whereby a number is expressed as a product of its prime factors.

Example: Express the following numbers as products of their prime factors.

a) 36

b) 60

c) 24

d) 770

36

2 18

2 9

3 3

36 = 2 x 2 x 3 x 3

= 22 x 32

Page 3: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

PRIME FACTOR DECOMPOSITION

This is the process whereby a number is expressed as a product of its prime factors.

Example: Express the following numbers as products of their prime factors.

a) 36

b) 60

c) 24

d) 770

60

2 30

2 15

3 5

60 = 2 x 2 x 3 x 5

= 22 x 3 x 5

Page 4: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

PRIME FACTOR DECOMPOSITION

This is the process whereby a number is expressed as a product of its prime factors.

Example: Express the following numbers as products of their prime factors.

a) 36

b) 60

c) 24

d) 770

24

2 12

2 6

2 3

24 = 2 x 2 x 2 x 3

= 23 x 3

Page 5: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

PRIME FACTOR DECOMPOSITION

This is the process whereby a number is expressed as a product of its prime factors.

Example: Express the following numbers as products of their prime factors.

a) 36

b) 60

c) 24

d) 770

770

10 77

7 11

770 = 2 x 5 x 7 x 11

2 5

Page 6: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

PRIME FACTOR DECOMPOSITION

This is the process whereby a number is expressed as a product of its prime factors.

Exercise: Express the following numbers as products of their prime factors.

a) 16

b) 40

c) 56

d) 100

e) 38

f) 108

g) 34

a) 16 = 24

b) 40 = 23 x 5

c) 56 =23 x 7

d) 100 = 22 x 52

e) 38 = 2 x 19

f) 108 = 22 x 33

g) 34 = 2 x 17

Page 7: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

HCF using PRIME FACTORS