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Lesson 2-6 Prime Factorization
Whole numbers are either prime numbers or composite numbers.
Compare the differences between them.
Whole Numbers
Prime Number
Composite Number
• Has only two factors:
itself and 1.
Examples
2
2•12
5
1•55
• Has more than two factors.
Examples
6
1•66
2•36
9
1•99
3•39
A composite number can be written as the product of prime
numbers. This is called prime factorization.
A factor tree helps you find all prime factors of a number.
9 and 8 are not prime numbers.
Continue to factor.
3 is a prime number.
2 is a prime number. Circle 2.
Circle both 3’s.
4 is not a prime number.
2 is a prime number.
Continue to factor.
Circle both 2’s.
The prime factorization of 72 is 3 • 3 • 2 • 2 • 2, or 32 • 23.
Answer each question.
1. Find the prime factorization of 48.
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2. Find the prime factorization of 56.
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2-6 Prime Factorization
Step Diagram
Use a step diagram to find the prime
factorization of 60.
2|60
2|30
3|15
5|5
1
Use a step diagram to find the prime
factorization of 75.
1) The divisors must be prime numbers.
2) Keep dividing until the quotient is 1.
3) The divisors are the factors in the
prime factorization.
The prime factorization of 60 is
2 • 2 • 3 • 5, or 22 • 3 • 5.
3|75
5|25
5|5
1
The prime factorization of 75 is
3 • 5 • 5, or 3 • 52.
Use a step diagram to find the prime factorization.
5. 48
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6. 24
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7. 40
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8. 98
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