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Prime Factorization: Example: 20 2x2x5 140 2x2x5x7

Prime factorization is a method of writing a composite number as a product of its prime factors. The document provides examples of prime factorizing numbers like 20 and 140. It then describes two common methods - using a factor tree or continuous division - to find the prime factors of a given number. Finally, it lists problems asking to prime factorize additional numbers like 18, 30, and 148.

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glenn malto
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567 views1 page

Prime Factorization: Example: 20 2x2x5 140 2x2x5x7

Prime factorization is a method of writing a composite number as a product of its prime factors. The document provides examples of prime factorizing numbers like 20 and 140. It then describes two common methods - using a factor tree or continuous division - to find the prime factors of a given number. Finally, it lists problems asking to prime factorize additional numbers like 18, 30, and 148.

Uploaded by

glenn malto
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Prime Factorization

Prime Numbers are numbers whose factors are always one and itself. Thus, prime
factorization is a way of getting the multipliers of a certain number but only prime
numbers are the ones being used as factors.
Example: 20 = 2x2x5 140 = 2x2x5x7
How can we get the prime factors of a number? Here are the common ways:
Factor Tree
20

2 10 (Stop when you reached a prime number


Example: 2, 5, 7,11, 13 …)
2 5
Decomposition Method / Continuous Division

2 140 Just divide the number in any prime number


2 70 until you reached a quotient of 1.
5 35
7 7
1

Find the prime factors of the following numbers. Put it on top of the blank.

1) 18 = ________________________________

2) 30 = ________________________________

3) 148 = ________________________________

4) 320 = ________________________________

5) 498 = ________________________________

6) 1250 = ________________________________

7) 620 = ________________________________

8) 891 = ________________________________

9) 2500 = ________________________________

10) 2301 = ________________________________

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