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31 Cards in this Set

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Divisibility rule for 2

A number is divisible by 2 iff its ones digit is 0,2,4,6, or 8

Divisibility rule for 5

A number is divisible by 5 iff its ones digit is 0 or 5

Divisibility rule for 10

A number is divisible by 10 iff its ones digit is 0

Divisibility rule for 4

A number is divisible by 4 iff the last two digits of a number rep a number divisible by 4

Divisibility rule for 8

A number is divisible by 8 iff the last three digits of a number rep a number divisible by 8

Divisibility rule for 3

A number is divisible by 3 iff the sum of it's digits is divisible by 3

Divisibility rule for 9

A number is divisible by 9, iff the sum of its digits is divisible by 9

Divisibility rule for 6

A number is divisible by 6 iff the number is divisible by 2 & 3

Prime

A counting number with exactly 2 different factors


Itself & 1

Composite

A counting number with more then 2 factors.

Sieve of Eratosthenes

An algorithm used to find primes


You list out all of the numbers and cross out each composite number

Divides

A divides B if and only if A is a factor of B

Divisor

When A divides B we can also say that A is a divisor of B

The divisor needs a visor because its outside

Factor

A is a factor of B


A whole number that multiplies with another number to make a third number

Multiple

B is a multiple of an


A multiple is a number multiplied by an integer

Divisible by

B is divisible by A


When dividing by a certain number it gives a whole number answer

Prime factorization

You can write every composite number as a product of prime numbers

Factor tree

A factor tree that shows the prime factorization of a composite number.

Greatest common factor

The greatest common factor of two or more nonzero whole numbers is the largest whole number that is a factor of all of the numbers.


The GCF of a and b is written GCF (a,b)

Least common multiple

The LCM of 2 or more nonzero whole numbers is the smallest nonzero whole number that is a multiple of all of the numbers

The LCM is written LCM (a,b)

Common multiple

The smallest positive number that is a multiple of two or more numbers

Ex; The LCM of 3 and 15 is 15 because 15 is a multiple of 3 &5

Divided by

A number that will divide the dividend exactly

Dividend

The number in the division symbol

The letters I N as in IN are in divIdeNd

Quotient

The result of the division


Remainder

A remainder in mathematics is what is left over in the division problem

Common factors

Factors are numbers we can multiply together to get another number. When we find the factors of two or more numbers and then find some factors are the same they are the common factors

Prime factorization

Express the numbers 24 & 36 in their prime factor exponential form


24= 2 with the exponent of 3

Set intersection GCF

1. Find all the factors of each number


2. Find all common factors


3. Find largest number in the set of common factors

Prime Factorization GCF


Factor tree

1. Write both numbers in their prime exponential form


2) find common factors


3) choose numbers with smaller exponents


Set intersection method

1) list the non-zero multiples of each number


2) find common multiples


3) choose the smallest number in the set of common multiples

Prime factorization LCM


FACTOR TREES

1. Write both numbers in prime exponential form


2. Choose # with largest exponent