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Reteach: Factors
Multiples are skipcounting numbers, or “count by” numbers. To find the multiples of five, we count by 5s. To find the multiples of ten, we count by 10s. To find the multiples of twelve, we count by 12s, and so on.
1. I count out 12 tiles to use. 

2. Next, I form arrays. If I am able to make even rows, with the same number of tiles in each row, I know that those numbers are factors of 12.
1 row of 12, or 1 x 12 = 12
2 rows of 6, or 2 x 6 = 12 3 rows of 4, or 4 x 3 = 12
The next one to try would be four rows, but four was already used in 3 x 4, so I know that I am done. 
3. I write out the multiplication sentences:

4. I make it "smile" and write the factors!
The factors of 12:
1, 2, 3, 4, 6, 12
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Reteach: Guided Practice
Figure out the factors of 15.
1. Count out 15 tiles. 
Multiplication sentences for 15 tiles:
1 x 15 = 15
3 x 5 = 15

2. Make arrays, and write down
multiplication sentences for
the ones that come out evenly,
with the same number of tiles
in each row. 
3. “Smile” because you are done! 
4. Follow the smile to write down
the factors. 
The factors of 15 are:
1 , 3 , 5 , 15 


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Independent Practice: Factors
Directions:
 Count out a number of tiles equal to the number for which you want to find factors.
 Make arrays, and write down multiplication sentences for the ones that come out evenly, with the same number of tiles in each row.
 "Smile" because you are done!
 Follow the smile to write down the factors.

1. Find all the factors of 24
1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24
The factors of 24 are:
1 , 2 , 3 ,4 , 6 , 8 , 12 , 24 
2. Find all the factors of 16
1 x 16 = 16
2 x 8 = 16
4 x 4 = 16
The factors of 16 are:
1 , 2 , 4 , 8 , 16 
1. Find all the factors of 20
1 x 20 = 20
2 x 10 = 20
4 x 5 = 20
The factors of 20 are:
1 , 2 , 4 , 5 ,10 , 20

2. Find all the factors of 18
1 x 18 = 18
2 x 9 = 18
3 x 6 = 18
The factors of 18 are:
1 , 2 , 3 , 6 , 9 , 18 
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Related Resources
The various resources listed below are aligned to the same standard, (4OA04) taken from the CCSM (Common Core Standards For Mathematics) as the Factors and multiples Worksheet shown above.
Find all factor pairs for a whole number in the range 1 to 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1 to 100 is a multiple of a given onedigit number. Determine whether a given whole number in the range 1 to 100 is prime or composite.
Chart
Example/Guidance
Game
Target Game
Number line
 Skip Counting  By 2, 3, 4, 5, & 6 (small marks at 1s, large marks at intervals and no numbers)
 Skip Counting  By 7, 8, 9, 11, & 12 (small marks at 1s, large marks at intervals and no numbers)
 Skip Counting  By 11 (small marks at 1s, large marks every 11 and no numbers)
 Skip Counting  By 12 (small marks at 1s, large marks every 12 and no numbers)
Worksheet