Factors and Prime Numbers

When two or more numbers are multiplied to give a certain product, each number is called a factor of the product.1 16( )( ) 16 2 8( )( ) 16 4 4( )( ) 16

The numbers 1, 2, 4, 8, and 16 are all factors of 16.

A prime number is a whole number greater than 1 that has no whole number factors other than 1 and itself.

Whole numbers greater than 1 that are not prime numbers are called composite numbers.

Prime Number & Composite Number

ExamplesPrime NumbersPrime Numbers

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101

Factors of Composite NumbersFactors of Composite Numbers

100(1)(100)(2)(50)(4)(25)(5)(20)(10)(10)

68(1)(68)(2)(34)(4)(17)

105(1)(105)

(3)(35)(5)(21)(7)(15)

303(1)(303)

(3)(101)

That was easy

Bases, Exponents, and Powers

24 16Base

Exponent

Power

4 squared equals 16

4 to the 2nd power equals 16

34 64

4 4( )( ) 16

4 cubed equals 64

4 to the 3rd power equals 64( )( )(4 4 4) 64

Base

Exponent

Power

Fractions with Exponents

323

2 2 23 3 3

827

Exact Value

.296296Rational

Approximation

279

7 79 9

4981

.604938

Order of OperationsLet’s look at an example of a

computation with more than one operation.

11 3 2

8 216

11 65

I’ll try doing 11 – 3 first.

Now I’ll try doing 3 times 2 first.

Please Excuse My Dear Aunt Sally

Please Excuse My Dear Aunt Sally

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

That was easy

ExamplesEvaluate the following. For all fractions, express the exact value and the rational approximation rounded to the nearest hundredth.

2342

323

447

3 2(7 )

26 ( )4 3

8 2(6 )

212 18( )3