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FACTOR TREES
Definition
 Prime Factorization-When
you write a number as a product
of prime numbers, you are
writing its prime factorization.
You can use a diagram called a
factor tree to write the prime
factorization of a number.
Example
200
2 100
2
50
2
25
5
5
Factor Tree
PRIME & COMPOSITE #’S
 A prime number is a whole number that is greater than 1 and has
EXACTLY two whole number factors, 1 and itself. A composite
number is a whole number that is greater than 1 and has more than
two whole number factors. The number 1 is neither prime nor
composite.
 EX: (24: 1,2,3,4,6,8,12,24) Composite
 EX: (41:1,41) Prime
FACTOR TREE’S
 A diagram that can be used to write the prime factorization of a
number.
20
2
2
10
5
GCF
 The GCF(Greatest Common Factor) is the most common factor in the two
numbers like 15 and 18 there most common factor is 3.
15
3
18
5
2
3
15:3,5
18:2,9,3,3
Both have a three so that is their GCF.
9
3
LCM
 The LCM(Least Common Multiple) is the lowest multiple in two
numbers like 9 and 5.
9
3
5
3
9:3,3
5:5
It has to be 3x3x5=45, so the LCM is 45 for 9 and 5
Another way to do a Factor Tree is to number them off by
their factors.
20:1,2,4,5,20
20’s factors are 1,2,4,5,and 20
FACTORS
MONOMIAL
 A monomial is a number, a variable, or the product of a number
and one or more variables raised to whole number powers.
EX. 28xy3=2*2*7*x*y3
=2*2*7*x*y*y*y
RELATIVELY PRIME
 Two or more numbers are relatively prime if their greatest
common factor is 1.
 EX: 3 and 5
 GCF:1
EXAMPLES
15
3
20
5
2
2
48
10
2
5
2
2
2
15:3,5
20:2,2,5
48:2,2,2,2,3
24
12
6
3