Factors or Multiples
A number that can divide a whole number evenly.
What is a Factor?
A natural number with factors of only 1 and itself.
What is a prime number?
The largest factor that two or more numbers have in common.
The smallest number all the given numbers can fit into equally.
What is the Least Common Multiple?
The number that is in a particular position in a sequence of numbers.
What is the term?
A number that results from combining factors.
What is a multiple?
The number of factors the number 1 has.
What is 1?
True or False:
The GCF can be found by listing all of the multiples of each given number?
False!
The GCF can be found by listing all of the factors of each given number.
2 ways to find the LCM of given numbers.
What are listing the multiples of each number and finding the LCM, and multiplying the different prime factors together?
5, 9, 13, 17, __
What is 21?
The factors of 32.
What are 1, 2, 4, 8, 16, 32?
A number with more than two prime factors.
What is composite?
The given numbers only share the number 1 as their common factor.
What is relatively prime?
True or False:
Multiplying ALL of the prime factors of the given numbers will provide the LCM.
False!
If there are multiple shared factors, multiplying all of them will result in a larger CM, not the smallest one.
(Example: 12 & 30: 22 x 3 & 2 x 3 x 5 respectively. Multiplying 22 x 3 x 2 x 3 x 5 = 360. Multiplying 22 x 3 x 5 = 60, the actual LCM.)
1, 1, 2, 3, 5, 8, __
What is 13?
The first 4 non-zero multiples of 7.
What are 7, 14, 21, and 28?
A visual breakdown of a number into the smallest prime number factors it has.
What is a factor tree?
The parts of a prime factorization of two or more given numbers that are multiplied together to find the GCF.
What are the lowest exponential common factors?
The parts of prime factorization that are multiplied together to find the LCM of two or more numbers.
What are the highest power of every different factor?
100, 95, 300, 295, 500, 495, ___
What is 700?
Zero can only be a factor of this number.
What is zero?
22 x 3 x 5
What is the prime factorization of 60?
The GCF of 32 and 188.
What is 4?
32 188
2 16 2 94
2 2 8 2 2 47
2 2 2 2 2 2 x 2 = 4
The LCM of 125 and 57.
What is 7,125?
125 57
5 25 3 19
5 5 5 Relatively Prime! so... 125 x 57 =
2, 4, 8, 16, 32, __
What is 64?