Grades 4 - 6
Long Division
Worksheets
Divisibility Rules
3 Levels
I
Division
By: Sheila Cantonwine
Long Division Worksheets
Divisibility Rules
Aligned to the Common Core
4.OA.B.4 and 6.NS.B.2
Targeted grade levels 4th, 5th, and 6th
3 Different Levels
Level 1 – Basic practice problems
Level 2 – Intermediate practice problems
Level 3 – Advanced practice problems
With 3 Different Levels, you can differentiate by student
or class.
There are a couple different divisibility rules charts so
use whichever fits your class best.
These worksheets would be great for:
* Early Finishers
* Homework
* Test Prep
* Review sheets
* Math centers work
* Remediation
* Morning Work
* Bell Ringer Questions
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© Sheila Cantonwine, 2015
Name: _________________________________________
Date: ______________
Divisibility Rules
Number
Divisibility Rule
Example
2
Numbers are divisible by 2 if the
last digit is even.
54 is divisible by 2 because it ends in 4 which is
an even number.
3
Numbers are divisible by 3 if the
sum of the digits is divisible by 3.
456 is divisible by 3 because the sum of the
digits (4+5+6) equals 15 and 15 is divisible by 3.
4
Numbers are divisible by 4 if the
last 2 digits form a number
divisible by 4.
336 is divisible by 4. The last 2 digits are 36 and
36 is divisible by 4.
5
A number is divisible by 5 if it ends
in a 0 or 5.
210 and 225 are both divisible by 5 because
they end in a 0 or 5.
6
A number is divisible by 6 if it is
divisible by 2 AND 3.
408 is divisible by 6 because it is divisible by 2
AND 3. It is divisible by 2 because the last digit
is 6 which is even. It is divisible by 3 because
the sum of the digits (4+0+8) equals 12 which is
divisible by 3.
8
A number is divisible by 8 if the last
3 digits form a number that is
divisible by 8.
1,472 is divisible by 8 because the last 3 digits,
472, is divisible by 8.
9
A number is divisible by 9 if the
sum of the digits is divisible by 9.
3222 is divisible by 9 because the sum of the
digits (3+2+2+2) equals 9 which is divisible by 9.
10
A number is divisible by 10 if the
last digit is zero.
580 is divisible by 10 because it ends in a zero.
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© Sheila Cantonwine, 2015
Name: _________________________________________
Date: ______________
Divisibility Rules
Look at the digit in the ones place
Divisible by 2 if
The last digit is even
Divisible by 5 if
The last digit is a 5 or 0
Divisible by 10 if
The last digit is a 0
Check the Sum of the Digits
Divisible by 3 if
The sum of the digits is divisible by 3
Divisible by 6 if
The number is divisible by 2 and 3
Divisible by 9 if
The sum of the digits is divisible by 9
Look at the last digits
Divisible by 4 if
The last 2 digits form a number that is divisible by 4
Divisible by 8 if
The last 3 digits form a number that is divisible by 8
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© Sheila Cantonwine, 2015
Name: _________________________________________
Date: ______________
Divisibility Rules
A number is divisible by…
2 if the last digit is even
3 if the sum of the digits is divisible by 3
4 if the last 2 digits form a number that is
divisible by 4
5 if the last digit is a 5 or 0
6 if the number is divisible by both 2 and 3
8 if the last 3 digits form a number that is
divisible by 8
9 if the sum of the digits is divisible by 9
10 if the last digit is 0
http://teacherspayteachers.com/store/Sheila-Cantonwine
© Sheila Cantonwine, 2015
Name: _________________________________________
Date: ______________
Divisibility Rules – Level 1
Using the divisibility rules, please determine if the following numbers are divisible by 2,
3, 4, 5, 6, 8, 9, or 10. Circle the appropriate number to the right. It may help to cross
out numbers as you eliminate them. Please keep in mind that you can have multiple
answers for each number. For example, 10 is divisible by 2, 5, and 10 so you would
circle 2, 5, and 10.
Sum of
Digits
Ex: 10
1+0=1
2
3
4
5
6
8
9
10
1. 25
2
3
4
5
6
8
9
10
2. 125
2
3
4
5
6
8
9
10
3. 400
2
3
4
5
6
8
9
10
4. 510
2
3
4
5
6
8
9
10
5. 680
2
3
4
5
6
8
9
10
6. 720
2
3
4
5
6
8
9
10
7. 800
2
3
4
5
6
8
9
10
8.
927
2
3
4
5
6
8
9
10
9.
1215
2
3
4
5
6
8
9
10
10. 1332
2
3
4
5
6
8
9
10
11. 1424
2
3
4
5
6
8
9
10
12. 1575
2
3
4
5
6
8
9
10
13. 1640
2
3
4
5
6
8
9
10
14. 1701
2
3
4
5
6
8
9
10
http://teacherspayteachers.com/store/Sheila-Cantonwine
© Sheila Cantonwine, 2015
Name: _________________________________________
Date: ______________
Divisibility Rules – Level 1 Answer Key
Using the divisibility rules, please determine if the following numbers are divisible by 2,
3, 4, 5, 6, 8, 9, or 10. Circle the appropriate number to the right. It may help to cross
out numbers as you eliminate them. Please keep in mind that you can have multiple
answers for each number. For example, 10 is divisible by 2, 5, and 10 so you would
circle 2, 5, and 10.
Sum of
Digits
Ex: 10
1+0=1
2
3
4
5
6
8
9
10
1. 25
7
2
3
4
5
6
8
9
10
2. 125
8
2
3
4
5
6
8
9
10
3. 400
4
2
3
4
5
6
8
9
10
4. 510
6
2
3
4
5
6
8
9
10
5. 680
14
2
3
4
5
6
8
9
10
6. 720
9
2
3
4
5
6
8
9
10
7. 800
8
2
3
4
5
6
8
9
10
8.
927
18
2
3
4
5
6
8
9
10
9.
1215
9
2
3
4
5
6
8
9
10
10. 1332
9
2
3
4
5
6
8
9
10
11. 1424
11
2
3
4
5
6
8
9
10
12. 1575
18
2
3
4
5
6
8
9
10
13. 1640
11
2
3
4
5
6
8
9
10
14. 1701
9
2
3
4
5
6
8
9
10
http://teacherspayteachers.com/store/Sheila-Cantonwine
© Sheila Cantonwine, 2015
Name: _________________________________________
Date: ______________
Divisibility Rules – Level 2
Using the divisibility rules, please determine if the following numbers are divisible by 2,
3, 4, 5, 6, 8, 9, or 10. Circle the appropriate number to the right. It may help to cross
out numbers as you eliminate them. Please keep in mind that you can have multiple
answers for each number. For example, 10 is divisible by 2, 5, and 10 so you would
circle 2, 5, and 10.
Sum of
Digits
Ex: 10
1+0=1
2
3
4
5
6
8
9
10
1. 100
2
3
4
5
6
8
9
10
2. 549
2
3
4
5
6
8
9
10
3. 792
2
3
4
5
6
8
9
10
4. 900
2
3
4
5
6
8
9
10
5. 1555
2
3
4
5
6
8
9
10
6. 1314
2
3
4
5
6
8
9
10
7. 1615
2
3
4
5
6
8
9
10
8.
1908
2
3
4
5
6
8
9
10
9.
2014
2
3
4
5
6
8
9
10
10. 2412
2
3
4
5
6
8
9
10
11. 2500
2
3
4
5
6
8
9
10
12. 2727
2
3
4
5
6
8
9
10
13. 2997
2
3
4
5
6
8
9
10
14. 3005
2
3
4
5
6
8
9
10
http://teacherspayteachers.com/store/Sheila-Cantonwine
© Sheila Cantonwine, 2015
Name: _________________________________________
Date: ______________
Divisibility Rules – Level 2 Answer Key
Using the divisibility rules, please determine if the following numbers are divisible by 2,
3, 4, 5, 6, 8, 9, or 10. Circle the appropriate number to the right. It may help to cross
out numbers as you eliminate them. Please keep in mind that you can have multiple
answers for each number. For example, 10 is divisible by 2, 5, and 10 so you would
circle 2, 5, and 10.
Sum of
Digits
Ex: 10
1+0=1
2
3
4
5
6
8
9
10
1. 100
1
2
3
4
5
6
8
9
10
2. 549
18
2
3
4
5
6
8
9
10
3. 792
18
2
3
4
5
6
8
9
10
4. 900
9
2
3
4
5
6
8
9
10
5. 1555
16
2
3
4
5
6
8
9
10
6. 1314
9
2
3
4
5
6
8
9
10
7. 1615
13
2
3
4
5
6
8
9
10
8.
1908
18
2
3
4
5
6
8
9
10
9.
2014
7
2
3
4
5
6
8
9
10
10. 2412
9
2
3
4
5
6
8
9
10
11. 2500
7
2
3
4
5
6
8
9
10
12. 2727
18
2
3
4
5
6
8
9
10
13. 2997
27
2
3
4
5
6
8
9
10
14. 3005
8
2
3
4
5
6
8
9
10
http://teacherspayteachers.com/store/Sheila-Cantonwine
© Sheila Cantonwine, 2015
Name: _________________________________________
Date: ______________
Divisibility Rules – Level 3
Using the divisibility rules, please determine if the following numbers are divisible by 2,
3, 4, 5, 6, 8, 9, or 10. Circle the appropriate number to the right. It may help to cross
out numbers as you eliminate them. Please keep in mind that you can have multiple
answers for each number. For example, 10 is divisible by 2, 5, and 10 so you would
circle 2, 5, and 10.
Sum of
Digits
Ex: 10
1+0=1
2
3
4
5
6
8
9
10
1. 252
2
3
4
5
6
8
9
10
2. 450
2
3
4
5
6
8
9
10
3. 711
2
3
4
5
6
8
9
10
4. 999
2
3
4
5
6
8
9
10
5. 1212
2
3
4
5
6
8
9
10
6. 1575
2
3
4
5
6
8
9
10
7. 2394
2
3
4
5
6
8
9
10
8.
3188
2
3
4
5
6
8
9
10
9.
4545
2
3
4
5
6
8
9
10
10. 6480
2
3
4
5
6
8
9
10
11. 7112
2
3
4
5
6
8
9
10
12. 9999
2
3
4
5
6
8
9
10
13. 10,134
2
3
4
5
6
8
9
10
14. 15,105
2
3
4
5
6
8
9
10
http://teacherspayteachers.com/store/Sheila-Cantonwine
© Sheila Cantonwine, 2015
Name: _________________________________________
Date: ______________
Divisibility Rules – Level 3 Answer Key
Using the divisibility rules, please determine if the following numbers are divisible by 2,
3, 4, 5, 6, 8, 9, or 10. Circle the appropriate number to the right. It may help to cross
out numbers as you eliminate them. Please keep in mind that you can have multiple
answers for each number. For example, 10 is divisible by 2, 5, and 10 so you would
circle 2, 5, and 10.
Sum of
Digits
Ex: 10
1+0=1
2
3
4
5
6
8
9
10
1. 252
9
2
3
4
5
6
8
9
10
2. 450
9
2
3
4
5
6
8
9
10
3. 711
9
2
3
4
5
6
8
9
10
4. 999
27
2
3
4
5
6
8
9
10
5. 1212
6
2
3
4
5
6
8
9
10
6. 1575
18
2
3
4
5
6
8
9
10
7. 2394
18
2
3
4
5
6
8
9
10
8.
3188
20
2
3
4
5
6
8
9
10
9.
4545
18
2
3
4
5
6
8
9
10
10. 6480
18
2
3
4
5
6
8
9
10
11. 7112
11
2
3
4
5
6
8
9
10
12. 9999
36
2
3
4
5
6
8
9
10
13. 10,134
9
2
3
4
5
6
8
9
10
14. 15,105
12
2
3
4
5
6
8
9
10
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© Sheila Cantonwine, 2015
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