Prime Factorization

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Prime Factorization
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What is Prime Factorization?

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

8 2 X 2 X 2
12 2 x 2 x 3
48 2 x 2 x 2 x 2 x 3
3

• 69

What times what equals 69?
What times what equals 3?
What times what equals 23?
1 x 69 3 x 23
1 x 23
1 x 3
Prime
Prime
3
23
69 3 x 23
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What times what equals 20?
What times what equals 4?
What times what equals 5?
What times what equals 2?

• 20

1 x 20 2 X 10 4 x 5
1 x 4 2 X 2
1 x 5
1 x 2
Prime
Prime
4
5
2
2
20 2 x 2 x 5
5
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.

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• 48

48
6
8
3
16
2
4
4
4
2
3
2
2
2
2
2
2
48 2 x 2 x 2 x 2 x 3
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• 108

108
2
54
18
6
6
9
2
9
2
3
3
3
2
3
3
3
108 2 x 2 x 3 x 3 x 3
8

• 54

54
2
27
6
9
3
9
2
3
3
3
3
3
54 2 x 3 x 3 x 3
9

• 80

80
4
20
8
10
5
4
2
2
2
4
2
5
2
2
2
2
80 2 x 2 x 2 x 2 x 5