Download Cornell Notes: Dividing Decimals

Cornell Notes: Prime Factorization and GCF
Name: ___________________________________
Topic
Students will be able to
identify Prime and Composite
numbers, find prime
factorizations and find GCF.
Questions/Main Ideas
Class/Teacher: __ ________________ Core: ________
Date: __________
Grade: __6______
Notes/Examples
A Factor is a whole number that divides a nonzero whole
number with remainder 0.
Example: The factors of 6 are 1, 6, 2, and 3
A Prime Number is a whole number with exactly two factors, 1
and the number itself.
Example: 61 is prime. There are only two factors: 1 and 61.
A Composite Number is a whole number greater than 1 with
more than two factors.
Example: 24 is composite. There are more than 2 factors: 1, 2,
3, 4, 6, 8, 12, 24
Abundant Number- a number that is smaller than the sum of
its proper divisors. Example: 18: 1 + 2 + 3 + 6 + 9 = 21. 18 is
smaller than 21.
Deficient Number- a number that is larger than the sum of its
proper divisors. Example: 22: 1 + 2 + 11= 14. 22 is larger than
14.
Perfect Number- A number that is equal to the sum of its
proper divisors. Example: 28: 1 + 2 + 4 + 7 + 14= 28.
Practice: Is the number prime or composite?
A) 5 – prime
D) 47- prime
B) 9 – composite E) 36- composite
C) 21 – composite
*Show Factor F
Prime Factorization- A number written as a product of its
prime factors.
Prime Factorization: 5 X 2 X 3
Use a factor tree to find the prime factorization. You want all
of the factors to be prime.
2³ X 3
2³ X 3
Practice: Find the Prime Factorization of the following numbers:
A.) 27= 3³
B.) 32= 2⁵
C.) 15 = 3 x 5
The Greatest Common Factor (GCF) of two or more numbers is
the greatest factor shared by all the numbers.
Using a Factor Tree:
Make a factor tree; find the prime factorization for each
number. Then identify the common factors and multiply them
together. So the GCF of 16 and 24 is 9.
Using a Division Ladder:
2) 42 56 Divide by 2, a common factor
7) 21
28 Divide by 7, a common factor
3
4 3 and 4 have no common factors
Multiply the common factors 2 x 7= 14
So the GCF of 42 and 56 is 14.
Practice: Find the GCF of each set of numbers:
A.) 14, 35 = 7
B.) 20, 60 = 20
C.) 12, 28= 4
Summary, Reflection, Analysis:
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