Transcript Prime Factoriazation

Prime Factorization
GCF
LCM
LCD
Prime Factorization
Factor Tree
Break a number down into all the prime factors
of that number
What prime numbers multiplied together
give you your original number
Write repeated multiplication with exponents
Example
12
12  2  2  3  2  3
2
2
6
2
3
Lowest Common Multiple
Also known as lowest common denominator
What is the smallest number 2 or more numbers
can both be multiplied into
2 Methods
1. List all the multiples of the numbers and find
the smallest one they have in common
2. Do the prime factorization of each number,
write each number once, take the largest
exponent
Example
18  2  3
2
24  2  3
3
LCM  2  3  72
3
2
Greatest Common Factor
What is the largest number all can be divided by
evenly.
2 ways
1. List all the factors of each number, find the
largest one they have in common
2. Find the prime factorization of each number,
write only prime numbers they all have in
common and take the lowest exponents
Example
36  3  2
30  2  3  5
2
2
GCF  2  3  6
GCF if Variables are involved
Take variables that are common in all terms
Lowest exponent on the variables
18 x 3 y  2  32
24 x y  2  3
2
2
3
GCF  2  3  x 2  y  6 x 2 y