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Factoring Numbers and Expressions. 5.1. Factor. A number that will divide with out a remainder into another. Prime or Composite. Prime Number - A positive integer greater than 1 with exactly two factors, 1 and itself. .

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Presentation Transcript
factor
Factor
  • A number that will divide with out a remainder into another
slide3

Prime or Composite

Prime Number- A positive integer greater than 1 with exactly two factors, 1 and itself.

Composite- A positive integer greater than 1 with more than two factors.

The number 1 and 0 are neither prime nor composite

divisibility rules of 2 and 4
Divisibility Rules of 2 and 4
  • A number is divisible by 2 if the last digit if divisible by 2
  • A number is divisible by 4 if the last two digits are divisible by 4
divisibility rules of 3 and 9
Divisibility Rules of 3 and 9
  • A number is divisible by 3 is the sum of the digits are divisible by 3
  • A number is divisible by 9 if the sum of a the digits are divisible by 9
divisibility of 5 and 10
Divisibility of 5 and 10
  • If a number ends in a 5 or 0 its divisible by 5
  • If a number ends in a 0 its divisible by 10
divisibility of 6 and 8
Divisibility of 6 and 8
  • If it ends in an even number and if the sum of the digits is divisible by 3.
  • If it the last two digits are divisible by 4 and the last digit is even.
examples
Examples:

1.) Is 160 divisible by 5

2.) is 56 divisible by 10

3.) is 53 divisible by 2

4.) is 472 divisible by 3

5.)Is 43, 542 divisible by 9

prime factorization
Prime Factorization
  • Keep dividing by prime numbers
  • Write your answer of the product of primes
  • Use exponents
slide12

Examples

Write the prime factorization Use exponents for repeated factors.

A)

B)

18

200

2

2

9

100

3

50

3

2

25

2

2 • 3 • 3 =

2 • 32

5

5

2 • 2 • 2 • 5 • 5 =

23 • 52

homework
Homework

you will have time to do it tomorrow in class