Copyright©amberpasillas2010. Prime Numbers- A Prime number is a whole number with only 2 factors,...


Prime Numbers- A Prime number is a whole number with only 2 factors, one and itself.

Composite Numbers- A Composite number is a number that has more than two factors.

Example: 2, 3, 5, 7, 11, 13, 17…

Example: 4, 6, 8, 9, 10, 12, 14, 15…


Composite Number -Composite numbers can be written as the product of prime numbers. This is called:

Prime Factorization -Prime Factorization is the unique set of prime numbers whose product equals a given number.


Prime Factorization is when you write a

number as the product of prime numbers. Factor

Tree 36

36 2 2 3 3 2 236 2 3

2 18

2 9

3 3

Circle the

prime number

s


Write the prime factorization of the number 24.24 24

2 12

2 6

4 6

2 32 2

32 3 32 32 3

Circle the prime numbers

Notice you get the same answer doing it two different ways! No matter how your start, you will get the same answer!

That is why prime factorization is so unique!


96

2 48

6 8

96 2 2 2 2 2 3

2 3 2 4

2 2

Notice we put them in order from least to greatest

596 2 3


240

2 120

2 60

2 30

2 15

3 5

240 2 2 2 2 3 5 4240 2 3 5

80

2 40

2 20

480 2 5

2 10

1) 2)

2 5

300

2 150

2 75

2 2300 2 3 5

3 25

5 5


Try these!


9ab

9 ab

9ab 3 3 a b

a b3 3

Factor Form


6

26m 2 3 m m

26m2m

m m2 3

Factor Form

Factor - A whole number or variable expressionthat divides evenly into a given wholenumber or variable expression.

List all the positive factors of the following.20 40

1 202 104 5

1 402 204 105 8

Make a list!

Why do you think I always start with one?


Making a list can be helpful to Making a list can be helpful to keep track of keep track of datadata and to and to spot any missing dataspot any missing data. .

To find factors of a number make a list starting with the lowest possible factor which is 1.

We start with 1 and work our way up. We know we didn’t miss any factors because our list is organized.


601 602 303 204 155 126 10


481 482 243 164 126 8


841 842 423 284 216 147 12


1) Find all the factors2) Write the prime factorization.3) Tell whether the number is prime or composite.

1) 124 2) 124 3) 124

1 1242 624 31

2 62

2 31

22 311, 2, 4, 31, 62, 124

composite


1) Find all the factors.2) Write the prime factorization.3) Tell whether the number is prime or composite.


1) 97 2) 97 3) 97

1 9797

1, 97

prime

Take Out Your Study Guide!!!



Prime Factorization is when you write a

number as the product of prime numbers. Factor Tree 36

#5

36 2 2 3 3 2 236 2 3

2 18

2 9

3 3

Circle the

prime numbers


#6 Make A ListMaking a list can be helpful to keep track of

data and to spot any missing data.

To make a list start with the lowest possiblefactor which is 1.

Factors of 36

1 x 362 x 183 x 12

We know wedidn’t miss any

Factors because

our list isORGANIZED!

Factors of 24

1 x 242 x 123 x 84 x 6

4 x 96 x 6

Copyright©amberpasillas2010. Prime Numbers- A Prime number is a whole number with only 2 factors,...

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