Chapter 1 Lesson 1 Prime Factorization Pages 7-8 2-12 even Created By: Cindy Smith, OMSD
Chapter 1 Lesson 1
Jan 03, 2016
Chapter 1 Lesson 1. Prime Factorization Pages 7-8 2-12 even Created By: Cindy Smith, OMSD. 3 Column Notes – Chap. 1 Lesson 1. Main Ideas/Cues: Prime number Composite number. Details: A whole number greater than 1 whose only whole number factors are 1 and itself. - PowerPoint PPT Presentation
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Chapter 1 Lesson 1
Prime Factorization
Pages 7-8
2-12 even
Created By: Cindy Smith, OMSD
3 Column Notes – Chap. 1 Lesson 1
Main Ideas/Cues:Prime number
Composite number
Details:A whole number greater
than 1 whose only whole number factors are 1 and itself.
A whole number greater than 1 that is not prime.
Picture/Example:5 is a prime
number because its only number factors are 1 and 5.
6 is a composite number because its factors are 1, 2, 3, and 6.
3 Column Notes – Chap. 1 Lesson 1
Main Ideas/Cues:Prime factorization
Factor tree
Details:Expressing a whole
number as a product of prime numbers.
A diagram that can be used to write the prime factorization of a number.
Picture/Example:The prime
factorization of 54 is
54=2 x 3 x 3 x 3 = 2 x 33
54 6 x 9
2 x 3 x 3 x 3
3 Column Notes – Chap. 1 Lesson 1
Main Ideas/ Cues:
Steps to determine
which numbers are prime using the Sieve of
Eratosthenes
Details:1. Write the numbers
from 1 – 50. Cross out 1 since 1 is not a prime number.
2. Circle 2 and cross out all multiples of 2, other than 2.
3. Circle the next number that is not crossed out. Then cross out its multiples. Repeat until all numbers are either crossed out or circled.
Picture/Example: 1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 50
3 Column Notes – Chap. 1 Lesson 1
Main Ideas/ Cues:
Writing Factors of a Number
Details:1. Write each pair of
multiples for a number, starting with 1.
2. Stop when the factors repeat.
Picture/Example:
Factors: 1, 2, 3, 5, 6, 10, 15, and 30
3 Column Notes – Chap. 1 Lesson 1
Main Ideas/ Cues:
Identifying Prime and Composite
Numbers
Details:Using either the Sieve of
Eratosthenes or by listing the Factors of a number, determine if a number is prime or composite.
Picture/Example:5656 = 1 x 56
= 2 x 28= 56 isn’t divisible by 3.= 4 x 14= 56 isn’t divisible by 5.= 56 isn’t divisible by 6.= 7 x 8= at 8 we repeat STOP.
Factors: 1, 2, 4, 7, 8, 14, 28, and 56
11The only factors of 11 are 1
and 11. So, 11 is prime.
3 Column Notes – Chap. 1 Lesson 1
Main Ideas/ Cues:
Writing the Prime
Factorization using a factor
tree.
Details:When a prime factor
appears more than once in the prime factorization, use an exponent. An exponent shows how many times the base is used as a factor in the product.
Picture/Example:
Problem #2
Directions: Write all the factors of the number
First Step: Write the Problem
2. 32
Problem #2
Second Step: Write all the factors of the number.
2. 32 = 1 x 32
= 2 x 16
= 4 x 8
Problem #2
Final Step: List all the factors of the number, from least to greatest.
2. 32 = 1 x 32
= 2 x 16
= 4 x 8
1, 2, 4, 8, 16, and 32
Problem #4
Directions: Write all the factors of the number
First Step: Write the Problem
4. 23
Problem #4
Second Step: Write all the factors of the number.
4. 23 = 1 x 23
Problem #4
Final Step: List all the factors of the number, from least to greatest.
4. 23 = 1 x 23
1 and 23
Problem #6
Directions: Tell whether the number is prime or composite
First Step: Write the Problem
6. 81
Problem #6
Second Step: Write all the factors of the number.
6. 81 = 1 x 81
= 3 x 27
= 9 x 9
Problem #6
Final Step: Tell whether the number is prime or composite.
6. 81 = 1 x 81
= 3 x 27
= 9 x 9
Composite
Problem #8
Directions: Tell whether the number is prime or composite
First Step: Write the Problem
8. 79
Problem #8
Second Step: Write all the factors of the number.
8. 79 = 1 x 79
Problem #8
Final Step: Tell whether the number is prime or composite.
8. 79 = 1 x 79
Prime
Problem #10
Directions: Use a factor tree to write the prime factorization of the number.
First Step: Write the Problem
10. 48
Problem #10
Second Step: Create the factor tree
10. 48
2 x 24
2 x 12
2 x 6
2 x 3
Problem #10
Final Step: Write the prime factorization (remember to use exponents)
10. 48 = 2 x 2 x 2 x 2 x 3 = 24 x 3
Problem #12
Directions: Use a factor tree to write the prime factorization of the number.
First Step: Write the Problem
12. 75
Problem #12
Second Step: Create the factor tree
10. 75
3 x 25
5 x 5
Problem #12
Final Step: Write the prime factorization (remember to use exponents)
12. 75 = 3 x 5 x 5 = 3 x 52
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