What are Factors ?

What are

Factors?

A Factor is….

A Factor is….

a number that can divide another number without a remainder.

A Factor is….

which numbers divide 6 without a remainder?

A Factor is….

which numbers divide 6 without a remainder?

3

A Factor is….which numbers divide 6 without a remainder?

3 2

A Factor is….which numbers divide 6 without a remainder?

3 1 2

A Factor is….which numbers divide 6 without a remainder?

3 1 2 6

A Factor is….which numbers divide 6 without a remainder?

3 1 2 6FACTORS OF 6: 1,2,3,6

A Factor is….

which numbers divide 48 without a remainder?

A Factor is….which numbers divide 48 without a remainder?

Factors of 48:

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,2,

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,2,3,

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,2,3,4

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,2,3,4,6

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,2,3,4,6,8

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,2,3,4,6,8,12

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,2,3,4,6,8,12,16,

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,2,3,4,6,8,12,16,24

A Factor is….which numbers divide 48 without a remainder?

Factors of 48: 1,2,3,4,6,8,12,16,24,48

What are the Factors of…

Let’s find factors in pairs

What are the Factors of…

Let’s find factors in pairs

Factors of: 18

What are the Factors of…

Let’s find factors in pairs

Factors of: 18 1 x 18

What are the Factors of…

Let’s find factors in pairs

Factors of: 18 1 x 18 2 x 9

What are the Factors of…

Let’s find factors in pairs

Factors of: 18 1 x 18 2 x 9 3 x 6

What are the Factors of…

Let’s find factors in pairs

Factors of: 18 1 x 18 2 x 9 3 x 6

Factors of 18:1,2,3,6,9,18

What are the Factors of…

Let’s find factors in pairsFactors of: 24

What are the Factors of…

Let’s find factors in pairsFactors of: 24 1 x 24

What are the Factors of…

Let’s find factors in pairsFactors of: 24 1 x 24 2 x 12

What are the Factors of…

Let’s find factors in pairsFactors of: 24 1 x 24 2 x 12 3 x 8

What are the Factors of…

Let’s find factors in pairsFactors of: 24 1 x 24 2 x 12 3 x 8

4 x 6

What are the Factors of…

Let’s find factors in pairsFactors of: 24 1 x 24 2 x 12 3 x 8 4 x 6

Factors of 24:1,2,3,4,6,8,12,24

What are the Factors of…

Let’s find factors in pairsFactors of: 20

What are the Factors of…

Let’s find factors in pairsFactors of: 20 1 x 20

What are the Factors of…

Let’s find factors in pairsFactors of: 20 1 x 20 2 x 10

What are the Factors of…

Let’s find factors in pairsFactors of: 20 1 x 20

2 x 10 4 x 5

Now it’s Your TurnOn Your Paper, find the factors of :16

Now On Your PaperOn your paper, find the factors of : 16

1 x 16

2 x 8 4 x 4

Factors of 16:1,2,4,8,16

Now On Your Paper

Find the factors of:30 and 36

Now On Your PaperFind the factors of:30 and 361 x 30

Now On Your PaperFind the factors of:30 and 361 x 302 x 15

Now On Your PaperFind the factors of:30 and 361 x 302 x 153 x 10

Now On Your PaperFind the factors of:

30 and 36

1 x 30

2 x 15

3 x 10

5 x 6

Now On Your PaperFind the factors of:30 and 361 x 30 1 x 362 x 153 x 105 x 6

Now On Your PaperFind the factors of:

30 and 36

1 x 30 1 x 36

2 x 15 2 x 18

3 x 10

5 x 6

Now On Your PaperFind the factors of:30 and 361 x 30 1 x 362 x 15 2 x 183 x 10 3 x 365 x 6

Now On Your PaperFind the factors of:30 and 361 x 30 1 x 362 x 15 2 x 183 x 10 3 x 365 x 6 4 x 9

Now On Your PaperFind the factors of:30 and 361 x 30 1 x 362 x 15 2 x 183 x 10 3 x 365 x 6 4 x 9 6 x 6

What is GCF?

GCF is….

GCF is….

“Greatest Common Factor”

GCF is….“Greatest Common Factor”

The largest factor that two numbers have in common.

GCF is….

Hmmm… Why don’t we go back to the factors of 30 and 36…

GCF is….

Hmmm… Why don’t we go back to the factors of 30 and 36…

What do you think is the Greatest Common Factor of those two numbers?

GCF is….

Hmmm… Why don’t we go back to the factors of 30 and 36…

What do you think is the Greatest Common Factor of those two numbers?

Think…….(WITHOUT looking)

GCFWhat is the GCF of 30 & 36?30 and 361 x 30 1 x 362 x 15 2 x 183 x 10 3 x 365 x 6 4 x 9 6 x 6

GCFWhat is the GCF of 30 & 36?30 and 36

1 x 30 is 1 x 36

2 x 15 it 2 x 18

3 x 10 3? 3 x 36

5 x 6 4 x 9 6 x 6

GCFWhat is the GCF of 30 & 36?30 and 361 x 30 how 1 x 362 x 15 about 2 x 183 x 10 6? 3 x 365 x 6 4 x 9 6 x 6

Now On Your Paper

Find the GCF of:15 and 25

Now on Your PaperWhat is the GCF of 30 & 36?

15 and 25

1 x 15 1 x 25

3 x 5 5 x 5

Now on Your PaperWhat is the GCF of 30 & 36?15 and 251 x 15 1 x 253 x 5 5 x 5

The GCF of 15 and 25 is….

Now On Your PaperWhat is the GCF of 30 & 36?15 and 251 x 15 1 x 253 x 5 5 x 5

The GCF of 15 and 25 is….5

Now On Your PaperFind the GCFs of the following:1. 18 and 12

2. 30 and 36

3. 9 and 27

Now On Your PaperFind the GCFs of the following:1. 18 and 12

GCF is 6 18:1,2,3,6,9,1812: 1,2,3,4,6,12

2. 30 and 36

3. 9 and 27

Now On Your PaperFind the GCFs of the following:1. 18 and 12

GCF is 6 18:1,2,3,6,9,1812: 1,2,3,4,6,12

2. 30 and 36 GCF is 6 30:1,2,3,5,6,10,15,30

36: 1,2,3,4,6,9,12,18,363. 9 and 27

Now On Your PaperFind the GCFs of the following:1. 18 and 12

GCF is 6 18:1,2,3,6,9,1812: 1,2,3,4,6,12

2. 30 and 36 GCF is 6 30:1,2,3,5,6,10,15,30

36: 1,2,3,4,6,9,12,18,363. 9 and 27

GCF is 9 9: 1,3,927: 1,3,9,27