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# Primefactorization

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### Transcript

• 1. Prime Factorization
By Walker
• 2. Definition
Prime Factorization is making a multiplication equation of a number that consists of prime numbers that has a product of the original number.
50=5 x 5 x 2
Or
50=52 x 2
• 3. A Factor Tree
• 4. Find Factors of Number
The first step of a factor tree can almost always gives you a prime number .
5
10
50
• 5. Continue until all Factors are Prime
The second step is the same as the first, except it is done on the original factors until all numbers are prime.
5
2
5
10
50
5 x 5 x 2 = 50
• 6. Convert to Exponents
If any numbers are stated more than once they can be converted to exponents.
52
5 x 5 x 2 = 50
• 7. HOWEVER!
Prime factorization does NOT work for prime numbers or the number 1.
• 8. Finding a LCM with Prime Factorization
First use prime factorization for the two numbers you want to find the LCM for.
3
3
3
2
9
6
2
2
18
12
• 9. Find Common Prime Factors
Find the repeated prime factors in each factor tree and other prime factors.(repeated factors can only be stated twice)
3
3
3
2
2
2
9
6
18
12
• 10. Convert to equation
Take the prime factors and convert them to a multiplication sentence.(Donâ€™t repeat doubled prime factors)
2 x 2 x 3 x 3 = 36 = LCM
• 11. Thanks&apos; For Watching!