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# Primefactorization

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### Primefactorization

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