Vocabulary
What does GCF stand for?
Greatest Common Factor
(Largest factor that two numbers share)
List the next 8 multiples of 6
6: 6, 12, 18, 24, 30,36,42,48
Create a factor tree for 30 and list all the prime numbers.
Prime Numbers: 2, 3, 5
Rewrite as Power:
2,2,2,3,3
23 x 32
For each pair of numbers, determine the least common multiple and at least one other common multiple.
3 and 5
LCM (3,5) = 15
Another common multiple is 30.
What is a multiple?
Product of a given number and a whole number.
The number you land on when you skip count
List the LCM of 12 and 10
10:10,20,30,40,50, 60
12: 12, 24, 26, 48, 60
LCM: 60
Create a factor tree for 20 and 15. List all prime numbers
20: 2,2,5
15: 2, 5
Identify the base and exponent in each power. Then, write each power in words.
43
Base: 4
Exponent: 3
Word: Four to the third power
Can you always determine the greatest common factor of two numbers? If so, how?
Yes, you can make a factor tree or a factor chart.
What is LCM?
Smallest number that is a common multiple of two or more numbers.
List all the factors of 18.
18: 1, 2, 3, 6, 9, 18
Create a factor tree for 81 and list all the prime numbers.
Prime: 3, 3, 3, 3
When the greatest common factor of two numbers is 1, what can you say about the numbers?
The numbers are relatively prime
What is a factor?
Numbers multiplied together to get a factor.
Rewrite the sum using GCF and the distributive property method. a(b+c)
56+42
14(4+3)
Explain the difference between a composite number and a prime number.
Prime number: Has only two numbers. Those numbers are 1 and itself.
Composite number: Has more than two factors.
Consider the numbers 54 and 84. Create a table of prime factors
54: 2 3 3 3
84 2 2 3 7
What is prime factorization? List one method....
Prime factorization is a method to find prime numbers. The easiest way to create a factor tree.
List all of the factors of 12 and 16.
12: 1, 2, 3, 4, 6, 12
16: 1, 2, 4, 8, 16
Create a factor tree and write the prime factorization for each number.
90
Prime Numbers: 2, 3, 3, 5
90: 2x32x5
For each pair of numbers, determine their product. Then, use a factor table to determine their least common multiple and their greatest common factor.
12 x 10
Product : 120
LCM: 2x2x3x5=60
GCF: 2
Express the sum 36 + 24 as many ways as possible as the product a(b + c).
HINT!!!!Start with the rainbow method....
2(18 + 12)
3(12 + 8)
4(9 + 6)
6(6 + 4)
12(3 + 2)
1(36 + 24)