Download - More about FACTORS
![Page 1: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/1.jpg)
More about FACTORSDIVISIBILITY
![Page 2: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/2.jpg)
Which of the following numbers are factors of 36?
1, 2, 3, 4, 5, 6, 7, 8, 9, and 10?
Write the multiplication facts you know for 36.
Brain Tickler
![Page 3: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/3.jpg)
Which of the following numbers are factors of 36?
1, 2, 3, 4, 5, 6, 7, 8, 9, and 10? Write the multiplication facts you know for 36.
1x36; 2x18; 3x12; 4x9; 6x6
Answers:
![Page 4: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/4.jpg)
How do we know 4
is a factor of
36?
Determining Factors
![Page 5: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/5.jpg)
How do we know 4 is a factor of 36?
Because 4 * 9 = 36
Therefore, 4 and 9 are FACTORS of 36.
Determining Factors
![Page 6: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/6.jpg)
How do we know 5 is
NOT A FACTOR Of 36?
Determining Factors
![Page 7: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/7.jpg)
How do we know 5 is NOT A FACTOR of 36?
5 x = 36
There is NO whole number times 5 that equals 36.
Determining Factors
![Page 8: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/8.jpg)
If a number can be represented by a rectangular array with 2 rows, what true statements can we make about the number?
Connecting Arrays and Factors
![Page 9: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/9.jpg)
If a number can be represented by a rectangular array with 2 rows, what true statements can we make about the number?
2 is a factorThe number is an EVEN NUMBERThe number is DIVISIBLE by 2
Connecting Arrays and Factors
![Page 10: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/10.jpg)
If a number can be represented by a rectangular array with 2 columns, what true statements can we make about the number?
Connecting Arrays and Factors
![Page 11: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/11.jpg)
If a number can be represented by a rectangular array with 2 columns, what true statements can we make about the number?
2 is a factorThe number is an EVEN NUMBERThe number is DIVISIBLE by 2
Connecting Arrays and Factors
![Page 12: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/12.jpg)
Suppose a number cannot be represented by an array with 2 rows or 2 columns? For instance, why can’t 3 be represented by an array with 2 rows?
Connecting Arrays and Factors
![Page 13: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/13.jpg)
Suppose a number cannot be represented by an array with 2 rows or 2 columns? For instance, why can’t 3 be represented by an array with 2 rows?
3 is an ODD Number3 is not Divisible by 22 is not a factor of 3
Connecting Arrays and Factors
![Page 14: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/14.jpg)
ARRAYS model MULTIPLICATION
4 x 3 = 12
![Page 15: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/15.jpg)
Does multiplication have a relationship to division?
4 x 3 = 12
![Page 16: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/16.jpg)
Is 54 divisible by 9?
![Page 17: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/17.jpg)
54 pennies ÷ 9 rows = 6 pennies per row
![Page 18: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/18.jpg)
Is 25 divisible by 6?
![Page 19: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/19.jpg)
25 pennies÷ 6 rows = 4 pennies per row + 1 remaining penny
![Page 20: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/20.jpg)
Because of the remainder, 6 is NOT a FACTOR of 25.
![Page 21: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/21.jpg)
Is 8 a factor of 48?
![Page 22: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/22.jpg)
YES, 8 is a FACTOR 48 pennies ÷ 8 rows = 6 pennies per row
![Page 23: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/23.jpg)
Is 4 a factor of 30?
![Page 24: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/24.jpg)
No, 4 is NOT a Factor of 30
![Page 25: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/25.jpg)
A number is DIVISIBLE BY another number if the result of the division is:
A whole number With A remainder of ZERO-----------------------------------------
Example: 28 is divisible by 7
28 ÷ 7 = 4 r 0
Therefore, 7 is a FACTOR of 28
MAIN IDEA:
![Page 26: More about FACTORS](https://reader033.vdocuments.net/reader033/viewer/2022061606/56816222550346895dd24dc0/html5/thumbnails/26.jpg)
Practice your skill in finding factors by playing FACTOR CAPTOR: http://illuminations.nctm.org/ActivityDetail.aspx?ID=12
You may change “opponent” and “game type”.
FACTOR CAPTOR