Embed Size (px)
Citation preview
11 Divisibility Rules and Prime Factorization Chapters 5.12 , Date _____
2 if the number is even3 if the sum of its digits is divisible by 35 if the last digit is 0 or 510 if the last digit is 0
540 752 233 145,21523510
540 752 233 145,21523510
480 459 675 56,36023510
480 459 675 56,36023510
Finding FactorsA natural number is factored when it is written as the product of two or more natural numbers.
Natural numbers are the counting numbers: 1, 2, 3, 4, etc.
For instance, 32 can be factored as 4 8. The numbers 4 and 8 are factors of 32.
How do we list all of the factors for 24?
How do we list all of the factors for 24?
List all of the factors for 36.
List all of the factors for 36.
List all of the factors for each number from least to greatest.
A. 15
B. 40
C. 45
D. 64
List all of the factors for each number from least to greatest.
A. 15
B. 40
C. 45
D. 64
A natural number is prime if it has exactly two factors, itself and 1.
Examples: 2, 3, 5, 7, 11, 13, ...
A natural number is composite if it has three or more factors.
Examples: 4, 6, 8, 9, 10, 12, ...
Is the number prime or composite?
13 prime
26 composite
29 prime
1 neither
Factor Trees
Use factor trees to factor a number until all of its factors are prime.
28
Write the prime factorization of 40.
40
Write the prime factorization of 40.
40
Write the prime factorization of each number.
16 125
Write the prime factorization of each number.
16 125
Use a factor tree to write the prime factorization of each number.
E. 42 F. 60
Use a factor tree to write the prime factorization of each number.
E. 42 F. 60
Use a factor tree to write the prime factorization of each number.
G. 36 H. 75
I. 21 J. 200
Use a factor tree to write the prime factorization of each number.
G. 36 H. 75
I. 21 J. 200
