Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common...
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Transcript of Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common...
![Page 1: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/1.jpg)
Prime Numbers
Composite Numbers
Factors
Prime Factorization (Factor Trees)
Multiples
Least Common Multiple
Greatest Common Factor
Divisibility Rules
![Page 2: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/2.jpg)
Number It is divisible if… Examples Examples that to support do not work.
2 A number ends in 0, 2, 4, 6, 8
10, 12, 14 15, 17, 7936, 98
3 The sum of the digits is divisible by 3
3, 6, 12, 135 142, 17, 23
4 If the last two digits are divisible by 4 or the number ends in 00.
44, 100, 124 41, 77, 38 120, 112 114, 14
5 If the number ends in 5 or 0.
10, 25, 55, 135 41, 77, 88
6 If the number is divisible by 2 and 3.
6, 12, 24, 19, 44, 50
9 If the sum of the digits is divisible by 9.
9, 18, 189, 981 38, 980, 98
10 If the number ends in 0. 10, 20, 30, 1090 125, 38, 88
![Page 3: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/3.jpg)
A PRIME number is a number that has only two factors: 1 and itself.
Example:
2: only 1 and 2 will go into 2
3: only 1 and 3 will go into 3
5: only 1 and 5 will go into 5
Other prime numbers are :
7, 11, 13, 17, 19, 23, and many more!
![Page 4: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/4.jpg)
Greatest common Factor (GCF)
To find the GCF do the following:
Step 1: List all the factors for each number
Step 2: Find the largest factor these two numbers have in common
Example:
Find the GCF for 60 and 72
60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The largest number 60 and 72 have in common is 12, therefore the GCF = 12
![Page 5: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/5.jpg)
To find the least common multiple do the following:
Step 1: List the multiples for each number
Step 2: Find the smallest number they have in common other than zero.
Example:
Find the LCM for 7 and 5
7: 0, 7, 14, 21, 28, 35, 42, …
5: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, …
Least Common Multiple
![Page 6: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/6.jpg)
List the factors each number. Then check your answer by clicking the “CHECK” button.
1. List the factors of 8:
2. List the factors of 10:
3. List the factors of 4:
4. List the factors of 20:
5. List the factors of 16:
6. List the factors of 25:
7. List the factors of 100:
8. List the factors of 3:
REVIEW
CHECK
![Page 7: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/7.jpg)
List the factors each number. Then check your answer by clicking the “CHECK” button.
1. List the factors of 8: 1, 2, 4, 8
2. List the factors of 10: 1, 2, 5, 10
3. List the factors of 4: 1, 2, 4
4. List the factors of 20: 1, 2, 4, 5, 10, 20
5. List the factors of 16: 1, 2, 4, 8, 16
6. List the factors of 25: 1, 5, 25
7. List the factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
8. List the factors of 3: 1, 3
REVIEW
Back to Quiz
![Page 8: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/8.jpg)
Composite numbers are numbers that have more than two factors.
Example:
4: 1, 2 and 4 go into 4
6: 1, 2 , 3 and 6 go into 6
8: 1, 2, 4, and 8 go into 8.
![Page 9: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/9.jpg)
Factors are numbers that go into another number. To find the factors of a number, find the pairs.
Example:
Factors of 20
1 x 20
2 x 10
4 x 5
20: 1, 2, 4, 5, 10, 20Then write them in order from least to greatest! Then write them in order from least to greatest!
Factors of 50:
1 x 50
2 x 25
5 x 5
50: 1, 2, 5, 25, 50
Remember: A factor will never be larger than the number itself.
QUIZ
![Page 10: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/10.jpg)
Factor Trees are used to find the PRIME FACTORIZATION of a number.
70
35 2
5 7Prime Factorization of
70 is: 2 x 5 x 7
Circle the number if it is prime
QUIZ
![Page 11: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/11.jpg)
Multiples are all the numbers a number will go into. Multiples are infinite!
Examples:
Multiples of :
5: 0, 5, 10, 15, 20, …
3: 0, 3, 6, 9, 12, 15, 18, …
20: 0, 20, 40, 60, …
0 is the first multiple of every number.
Multiples are infinite, so you must end each
line with … to show infinity.
QUIZ
![Page 12: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/12.jpg)
List the prime factorization for each number. Then check your answer by clicking the “CHECK” button.
1. 72
2. 50
3. 100
4. 90
5. 20
6. 15REVIEW
CHECK
![Page 13: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/13.jpg)
1. 72: 2 x 3
2. 50: 5 x 2
3. 100: 5 x 2
4. 90: 3 x 5 x 2
5. 20: 2 x 5
6. 15: 3 x 5
REVIEW
Back To The Quiz
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2
2 2
2
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2
![Page 14: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/14.jpg)
List the multiples for each number. Then check your answer by clicking the “CHECK” button.
1. List the multiples of 8:
2. List the multiples of 10:
3. List the multiples of 4:
4. List the multiples of 20:
5. List the multiples of 16:
6. List the multiples of 25:
7. List the multiples of 100:
8. List the multiples of 3:
CHECK
REVIEW
![Page 15: Prime Numbers Composite Numbers Factors Prime Factorization (Factor Trees) Multiples Least Common Multiple Greatest Common Factor Divisibility Rules.](https://reader036.fdocuments.in/reader036/viewer/2022082817/56649e0b5503460f94af2d00/html5/thumbnails/15.jpg)
1. List the multiples of 8: 0, 8, 16, 24, 32, …
2. List the multiples of 10: 0, 10, 20, 30, 40,…
3. List the multiples of 4: 0, 4, 8, 12, 16, …
4. List the multiples of 20: 0, 20, 40, 60, 80, …
5. List the multiples of 16: 0, 16, 32, 48, 64, …
6. List the multiples of 25: 0, 25, 50, 75, 100, …
7. List the multiples of 100: 0, 100, 200, 300, 400, …
8. List the multiples of 3: 0, 3, 6, 9, 12, …
REVIEWBACK TO THE QUIZ