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Prime Factorization

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Page 1: Prime Factorization. What is Prime Factorization? The process of converting a number into a product of prime numbers

Prime Factorization

Page 2: Prime Factorization. What is Prime Factorization? The process of converting a number into a product of prime numbers

What is Prime Factorization?

• The process of converting a number into a product of prime numbers.

Page 3: Prime Factorization. What is Prime Factorization? The process of converting a number into a product of prime numbers

69

What times what equals 69? 1 x 69

3 x 23

3 23

What times what equals 3?

1 x 3 Prime

What times what equals 23?

1 x 23 Prime

69= 3 x 23

Prime Factors of 69

Page 4: Prime Factorization. What is Prime Factorization? The process of converting a number into a product of prime numbers

20

What times what equals 20?

1 x 20

2 X 10

4 x 5

4 5

What times what equals 4?

1 x 4

2 X 2

2 2

What times what equals 5?

1 x 5

What times what equals 2?

1 x 2

20 = 2 x 2 x 5

Prime

Prime

Prime Factors of 20

Page 5: Prime Factorization. What is Prime Factorization? The process of converting a number into a product of prime numbers

Practice

Find the Prime factorization of each number. After you have had time to calculate click on the number to see if you have

the correct answer.

48 54 108 80

Page 6: Prime Factorization. What is Prime Factorization? The process of converting a number into a product of prime numbers

48

6 8

2 3

2 4

48

3 16

4 4

2 22 22 2

48 = 2 x 2 x 2 x 2 x 3

Page 7: Prime Factorization. What is Prime Factorization? The process of converting a number into a product of prime numbers

108

2 54

6 9

108

18 6

2 32

3 3

108 = 2 x 2 x 3 x 3 x 3

9

2 3 3 3

Page 8: Prime Factorization. What is Prime Factorization? The process of converting a number into a product of prime numbers

54

2 27

3 9

54

6 9

3 32

3 3

54 = 2 x 3 x 3 x 3

3

Page 9: Prime Factorization. What is Prime Factorization? The process of converting a number into a product of prime numbers

80

4 20

5 4

80

8 10

2 52

2 2

80 = 2 x 2 x 2 x 2 x 5

42 2

2 2