Prime FactorizationBy Walker

DefinitionPrime 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 2Or50=52 x

2

A Factor Tree

Find Factors of Number

Continue until all Factors are Prime

Convert to Exponents

Find Factors of Number

The first step of a factor tree can almost always gives you a prime number .

50

5 10

Continue until all Factors are PrimeThe second step is the same as the first,

except it is done on the original factors until all numbers are prime.

50

5 10

2 5

5 x 5 x 2 = 50

Convert to Exponents

If any numbers are stated more than once they can be converted to exponents.

5 x 5 x 2 = 50

52

HOWEVER!Prime factorization does NOT work for prime numbers or the number 1.

Finding a LCM with Prime FactorizationFirst use prime factorization for the two

numbers you want to find the LCM for.

12

2 6

32

18

2 9

3 3

Find Common Prime FactorsFind the repeated prime factors in each

factor tree and other prime factors.(repeated factors can only be stated twice)

12

6

18

9

3 3

2 22 3

Convert to equationTake the prime factors and convert them to a

multiplication sentence.(Don’t repeat doubled prime factors)

2 x 2 x 3 x 3 = 36 = LCM

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