Factoring Numbers and Expressions

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# Factoring Numbers and Expressions - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about 'Factoring Numbers and Expressions' - neila

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Presentation Transcript

### 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.

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
• 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
• 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
• 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
• 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:

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
• Keep dividing by prime numbers
• Use exponents

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

you will have time to do it tomorrow in class