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19 Cards in this Set

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Prime number defined

A positive whole number only divisible by l and itself


Example- 7.13, 19


l is NEVER a prime number

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 3? 41, 43, 47,

Counting Numbers

Positive Natural Numbers

Composite Number

A Counting number With more than 2 different factors

Sieve of Eratosthenes

process of eliminating multiples to find prime #'s

What is the only positive Prime #?

2

Prime Numbers less than 50

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

How do you find "multiples" of a number?

You multiply the given number by the Counting numbers

Example: 50 xl, 5Ox2, 5Ox3, 50 ×4 etc...

Composite or Prime?


The Sum of the numbers digits is a multiple of 3

Composite


Example:


672 = 6+7+2 is 15 So, Since 15 is a multiple of 3 (3, 6, 9, 12, 15... ) "672" is a Composite #

Are Zero and one Prime numbers?

No, They are NOT considered prime #'s

Prime Factorization

Finding which prime numbers multiply together to make the original number.


12


/ \


6 x 2


/ \


3 x2 x 2

The Rule of Fundamental Theorem of Arithmetic

Every Composite number has ONLY one prime factorization set


4


/\


2×2


So the ONLY prime factorisation of the number 4 = 2×2

what are the steps to find the prime factorization of a composite number?

l. Factor the Composite # into any 2 factors


2. Factor out each number that is a Composite to make it Prime


3. Continue this process until all factors are prime

How do you find the Least Common Multiple (LCM)?

1. Prime Factorization


1. Prime Factorization2. Write down the factors


1. Prime Factorization2. Write down the factors


2. Write down the factors

How do you find the Greatest Common Factor?

1. Find Prime Factoriazation


2. Find all factors that they share or are alike


3. Multiply those factors together

Dividing Fractions

1. Flip 2nd fraction to find the reciprical


2. make it a Multiplication problem


3. Do prime factorization of both numerators Then do prime factorization of both denominators


4. Cross out all "like" prime factors


5. Multiply straight across

Example:

Multiplying Fractions

1. Do Prime Factorization on numerators


2. Do Prime Factorizations on denominator


3. Cross out any "like" factors


4. Multiply Straight across

( + ) and ( - )


Multiplication Rule

Negative x Negative = Positive


Negative x Positive = Negative


Positive x Positive = Positive

Adding (-) and (+)

(-) + (+) = OR (+) + (-) =


subtract and use the sign of the bigger number



(-) + (-) =


Add the numbers and make the answer negative

Subtracting (-) and (+)

1. Change the subtraction sign to an addition sign


2. Change the sign of the second number


3. Follow addition rules



Addition rules:


(-) + (-) = negative


(+) + (-) = subtract and use sign of bigger number


(-) + (+) = subtract and use sign of bigger number