Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
16 Cards in this Set
- Front
- Back
|
common factor
|
An integer that is a factor of two or more integers
|
|
|
greatest common factor (GCF)
|
of a list of integers is the largest common factor of those integers.
|
|
|
Factors of a number ......
|
are also divisors of the number
|
|
|
Divisibilty rules
|
rules for deciding what numbers will divide into a given number
|
|
|
A whole number divisible by 2
|
last digit is an even number
|
|
|
A whole number divisible by 3
|
sum of the digits are divisib le by 3
|
|
|
A whole number is divisible by 4
|
last two digits form a number divisible by 4
|
|
|
A whole number is divisible by 5
|
last digit is 0 or 5
|
|
|
a whole number is divisible by 6
|
number is divisible by both 2 and 3
|
|
|
A whole number is divisible by 8
|
last three digits form a number divisible by 8
|
|
|
A whole number is divisible by 9
|
sum of the digits are divisible by 9
|
|
|
A whole number is divisble by 10
|
last digit is 0
|
|
|
prime number
|
has only one and itself as factors
|
|
|
Find the GCF
|
1. Factor. Write each number in prime factored form.
2. List common factors. List each prime number that is a factor of every number in the list. ( If a prime does not appear in one of the prime factored forms, it cannot appear in the GCF). 3. Choose least exponents. Use as exponents on the common prime factors the least exponent from the prime factored forms. 4. Multiply. multiply the primes from step 3. If there are no primes left after step 3, the GCH is 1. |
|
|
Factoring
|
writing a polynomial (a sum) in factored form as a product
3m + 12 3m + 12 = 3 x m + 3 x 4 = 3( m + 4) the factored form of 3m + 12 is 3( m + 4 ). This process is called factoring out the GCF. |
|
|
Factor by Grouping
|
1. Group terms. Collect the terms into two groups so that each group has acommon factor.
2. Factor within Groups. Factor out the GCF from each group. 3. Factor the entire polynomial. factor a common binomial factor from the results in step 2. 3. If necessary rearrange terms. If step 2 does not result in a common binomial factor, try a different grouping. |
