Factorizations
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Factorizations of Numbers
Every composite number (a number that is not prime) greater than 2 can be factored into a product of prime numbers. Example 1: Factorizing 24: 24
4
6
3
2
2
2
Everything circled in red is a prime number, thus 24 = 2 · 2 · 2 · 3 or 24 = 23 · 3.
Example 2: Factorizing 72: 72
8
9
3
3
4
2
2
∴ 72 = 23 · 32 .
1
2
Every composite number (a number that is not prime) greater than 2 can be factored into a product of prime numbers. Example 1: Factorizing 24: 24
4
6
3
2
2
2
Everything circled in red is a prime number, thus 24 = 2 · 2 · 2 · 3 or 24 = 23 · 3.
Example 2: Factorizing 72: 72
8
9
3
3
4
2
2
∴ 72 = 23 · 32 .
1
2
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