G4 Unit 2 Review

G4 Unit 2 Review

Factors and Multiples

What is a Factor?

​Que es un factor?

• Factors are a [Factores son]

• set of all pairs of numbers [un conjunto de pares] that when multiplied together make a larger number. [Que Cuando se multiplicand haven un numero was grande.]

• Example: [ejemplo] Factors of 24

• 1 x 24

• 2 x 12

• 3 x 8

• 4 x 6

Methods to Find the Factors of a Number

​metodos de encontrar los factores de un numero son

• ​

• A table [una tabla]

• A list [una lista]

• ​Rainbow method [metodo de arcoiriz]

• Array Model [ modelo de matriz]

Factor Rainbow

Start with the number x 1

Keep going until you start repeating

Take a look at the factors of 72

1x72

2x36

3x24

4x18

6x12

8x9

Table Method

Start with 1 x your number. Use the numbers: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 etc.

Think: What times __ will give me my number.

Example: Factor 100

1 x 100; 2 x 50; 4 x 25; 5 x 20; 10 x 10

Array Model

Think of all the different ways to write your number as an array.

Look at the example provided for finding the Factors of 24.

Multiple Choice

What is the factor of: 9

Cuales son los factores de 9

• 1 x 9

• 1 x 9

  3 x 3

• 1 x 3

  3 x 3

• 3 x 6

  1 x 9

Multiple Choice

What is a factor of: 32

Cuales son los factores de 32

• 1 x 32

  2 x 16

  3 x 6

  4 x 8

• 1 x 32

  2 x 16

• 2 x 16

  3 x 6

  4 x 8

• 1 x 32

  2 x 16

  4 x 8

Multiple Choice

What is a Factor of: 51

Cual es un factor de 51

• 1 x 51

• 2 x 26

• 5 x 10

• 6 x 7

Multiples [ multiples ]

• The product of a given number times a factor [ el products de un numero muiltiplicado for un factor

• A continuous list [una list continua]

• Example: List the multiples of 2:

• 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, . . .

• Think Math Fact!

Multiple Choice

What are the FIRST 5 multiples of: 5

Cuales son los PRIMEROS 5 multiples de 5

• 5, 10, 12, 20, 135

• 5, 10, 15, 20, 25

• 5, 10, 15, 20, 22

• 2, 5, 7, 10, 15

Multiple Select

Select All that Apply

Selecciona todos los que aplican

What are multiples of: 9

cuales son multiples de 9

• 18

• 72

• 63

• 43

Multiple Select

Select ALL that Apply:

Selecciona TODOS los que aplican 

What are multiples of: 7

Cuales son los multiples de 7 

• 42

• 27

• 49

• 63

Multiple Select

Select all the possible ways to make factor pairs of 54.

Selecciona TODAS las posibilidades que hacen pares de factores de 54

• 1 x 57

• 1 x 54

• 2 x 27

• 50 x 4

• 3 x 18

Multiple Choice

If 5 a factor of 27?

Es 5 un factor de 27?

• yes

• no

Multiple Choice

What are all of the factors of 15?

Cuales son todos los factores de 15?

• 1,3,5,15

• 5,15

• 1,15

• 1,5

Multiple Choice

Is 5 a factor of 36?

Es 5 un factor de 36?

• no

• yes

Multiple Choice

Which choice lists all the factors for the number 24?

Cual da la lista de todos los factores de el numero 24?

• 2, 3, 4, 6, 8, 12, 24
• 2, 3, 4, 6, 8, 12, 24, 36
• 1, 2, 3, 4, 6, 8, 12, 24
• 1, 2, 4, 5, 6, 8, 12 ,24

​Prime Numbers [Numeros Primos]

​Prime numbers are numbers greater than 1 that has exactly two factors, one, and itself. [Numeros primos son has grandes questions 1 que tienen esactamente dos factores, uno y si mismo]

​

​For example:

Multiplication fact of 5:

​Factors of 5:

​1, 5

​5 is a prime number.

​Composite Numbers [ Numeros Compuestos ]

​Composite numbers are numbers greater than 1 that has more than two factors. [numeros compuestos son numeros was grandes sue uno que tienen mas de dos factores]

​

​For example:

​Multiplication facts of 6:

​Factors of 6:

​1, 2, 3, 6

​6 is a composite number.

​Multiplication facts of 9:

​Factors of 9:

​1, 3, 9

​9 is a composite number.

Multiple Choice

Composite numbers:

Numeros compuestos:

• Are always bigger than prime numbers

  Siempre son mas grandes que numeros primos

• Have more than 2 factors

  Tienen mas que 2 factores 

• Have 2 pairs of factors

  Tienen 2 pares de factores

• Don't have factors

  No tienen factores

Multiple Choice

7 is a ________ number.

7 es un numero _______.

• prime

  Primo

• composite

  Composito

Prime & Composite Numbers

Multiple Choice

Which number below is NOT prime?

Que numero no es numero primo?

• 3
• 7
• 9
• 11

Multiple Choice

Is the number 7 prime or composite?

7 es un numero primo o compuesto?

• prime

• composite

Multiple Choice

A number that has more than 2 factors is called a __________ number.

Un numero que tiene mas de 2 factores se llama numero ________.

• prime
• composite
• odd
• even

Multiple Choice

Which number is COMPOSITE?

Que numero es COMPUESTO?

• 3

• 7

• 23

• 81

Multiple Choice

Which are FACTORS OF 10?

Cuales son factores de 10?

• 1, 2, 5, 10

• 10, 20, 30, 40

Multiplicative Comparison

To write a multiplicative comparison as a multiplication equation, replace the

words with symbols. See the example.

Here is another example.

• The wording of the comparison will determine where you put the equals sign in your equation.

• The equal sign is not always at the end.

Multiple Choice

45 is 3 times as many as 15

45 es 3 veces mas que 15 

• 3 X 15 = 45

• 45 X 3 = 15

• 45 = 3 X 15

Multiple Choice

6 times as many as 8 is 48

6 veces mas que 8 es 48

• 6 X 8 = 48

• 6 = 8 X 48

• 48 = 6 X 8

Multiple Choice

132 is 11 times as many as 12

132 es 11 veces mas que 12

• 132 X 11 = 12

• 132 = 11 X 12

• 11 X 12 = 132

To Write a Multiplicative Comparison

​Para escribir una comparación de multiplication

• Read the equation [le la equation]

• Replace the symbols with words [remplasa los simbolos con palabras]

• x: times as many/ times as much [x: veces mas que]

• =: is [=: es]

IMPORTANT!

x- times AS MANY/ times AS MUCH

The x does NOT just mean times.

​

​

Multiple Choice

88 = 8 x 11

• 88 equals 8 times 11

  88 es 8 por 11 

• 88 is 8 times as many as 11

  88 es 8 veces mas que 11

• 88 is 8 times 11

  88 es 8 por 11

• 8 times as many as 11 is 88

  8 veces mas que 11 es 88

Multiple Choice

What is this multiplication strategy called?

• Boxes and numbers
• Area Model

Multiple Select

Which of the following shows 76 x 4? (there is more than 1 answer!)

• (70+6) x (70+4)

• (70x4) + (6x4)

Multiple Choice

What multiplication equation matches this Area Model?

• 6 + 54

• 45 x 6

• 54 x 6

Multiple Choice

What is the final step of finding the product of this area model?

• 70 + 21

• 10 + 3

• 91 + 7 + 13