Download Prime Factorization

Name
Homework
3.3
Date
Prime Factorization
Find the prime factorization of 20.
20
Step 1: Start with two factors of 20.
Step 2: If a factor is composite, find its factors.
4 5
Step 3: Check that all factors are prime numbers.
22 5
2 2 5 22 5
Solution: The prime factorization of 20 is 2 2 5.
Write each using exponents.
1.
22235
2.
233355
Write each as a product of factors. Then evaluate.
3.
24 3
4.
32 52
Draw a factor tree to show the prime factorization of each. Then rewrite, using exponents.
5.
50
6.
67
Complete each factor tree for the number 60.
7.
8.
60
3
20
6
3 2
32
9.
60
10
60
5
12
5
5
Problem Solving
10.
Could a prime factorization include 6
as one of the prime factors? Tell why or
why not.
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