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Prime Factorization
Factorization
The strings of factors of a number are called
factorizations of that number.
The longest possible string of factors of any
number is the one that is made up of all prime
numbers. This is called the prime factorization
of the number. Every number has its own
unique prime factorization.
Factor Trees
Prime factorization can be found by using a
factor tree or the cake method.
 Example of a factor tree:
Cake Method
Example of cake method:
Using Exponents
If the prime factorization of a number has more
than one of the same prime number, use
exponents. Remember, an exponent tells how
many times a factor is used. For example, the
prime factorization of 72 is 2 ● 2● 2 ● 3 ● 3.
Write this as 2³ ● 3².