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These sample problems below for Divisibility Rules were generated by the MathScore.com engine.

## Sample Problems For Divisibility Rules

### Complexity=50

Check the boxes for the possible factors that evenly divide the number.
1.   31
 2
 3
 4
 5
 6
 9
 10
 None of the above
2.   39
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 3
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 5
 6
 9
 10
 None of the above

### Complexity=100

Check the boxes for the possible factors that evenly divide the number.
1.   48
 2
 3
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 5
 6
 9
 10
 None of the above
2.   71
 2
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 5
 6
 9
 10
 None of the above

### Complexity=1000

Check the boxes for the possible factors that evenly divide the number.
1.   775
 2
 3
 4
 5
 6
 9
 10
 None of the above
2.   576
 2
 3
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 5
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 9
 10
 None of the above

### Complexity=10000

Check the boxes for the possible factors that evenly divide the number.
1.   3581
 2
 3
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 5
 6
 9
 10
 None of the above
2.   2060
 2
 3
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 9
 10
 None of the above

### Complexity=50

Check the boxes for the possible factors that evenly divide the number.
131
 2
 3
 4
 5
 6
 9
 10
 None of the above
Solution
2 is not a factor because the last digit (1) is not even.

3 is not a factor because the sum of the digits (3 + 1 = 4) is not divisible by 3.

4 is not a factor because the number formed by the last two digits (31) is not divisible by 4.

5 is not a factor because the last digit (1) is not 0 or 5.

6 is not a factor because the number is not divisible by 2 and 3.

9 is not a factor because the sum of the digits (3 + 1 = 4) is not divisible by 9.

10 is not a factor because the last digit (1) is not 0.

239
 2
 3
 4
 5
 6
 9
 10
 None of the above
Solution
2 is not a factor because the last digit (9) is not even.

3 is a factor because the sum of the digits (3 + 9 = 12) is divisible by 3.

4 is not a factor because the number formed by the last two digits (39) is not divisible by 4.

5 is not a factor because the last digit (9) is not 0 or 5.

6 is not a factor because the number is not divisible by 2 and 3.

9 is not a factor because the sum of the digits (3 + 9 = 12) is not divisible by 9.

10 is not a factor because the last digit (9) is not 0.

### Complexity=100

Check the boxes for the possible factors that evenly divide the number.
148
 2
 3
 4
 5
 6
 9
 10
 None of the above
Solution
2 is a factor because the last digit (8) is even.

3 is a factor because the sum of the digits (4 + 8 = 12) is divisible by 3.

4 is a factor because the number formed by the last two digits (48) is divisible by 4.

5 is not a factor because the last digit (8) is not 0 or 5.

6 is a factor because the number is divisible by 2 and 3.

9 is not a factor because the sum of the digits (4 + 8 = 12) is not divisible by 9.

10 is not a factor because the last digit (8) is not 0.

271
 2
 3
 4
 5
 6
 9
 10
 None of the above
Solution
2 is not a factor because the last digit (1) is not even.

3 is not a factor because the sum of the digits (7 + 1 = 8) is not divisible by 3.

4 is not a factor because the number formed by the last two digits (71) is not divisible by 4.

5 is not a factor because the last digit (1) is not 0 or 5.

6 is not a factor because the number is not divisible by 2 and 3.

9 is not a factor because the sum of the digits (7 + 1 = 8) is not divisible by 9.

10 is not a factor because the last digit (1) is not 0.

### Complexity=1000

Check the boxes for the possible factors that evenly divide the number.
1775
 2
 3
 4
 5
 6
 9
 10
 None of the above
Solution
2 is not a factor because the last digit (5) is not even.

3 is not a factor because the sum of the digits (7 + 7 + 5 = 19) is not divisible by 3.

4 is not a factor because the number formed by the last two digits (75) is not divisible by 4.

5 is a factor because the last digit (5) is 0 or 5.

6 is not a factor because the number is not divisible by 2 and 3.

9 is not a factor because the sum of the digits (7 + 7 + 5 = 19) is not divisible by 9.

10 is not a factor because the last digit (5) is not 0.

2576
 2
 3
 4
 5
 6
 9
 10
 None of the above
Solution
2 is a factor because the last digit (6) is even.

3 is a factor because the sum of the digits (5 + 7 + 6 = 18) is divisible by 3.

4 is a factor because the number formed by the last two digits (76) is divisible by 4.

5 is not a factor because the last digit (6) is not 0 or 5.

6 is a factor because the number is divisible by 2 and 3.

9 is a factor because the sum of the digits (5 + 7 + 6 = 18) is divisible by 9.

10 is not a factor because the last digit (6) is not 0.

### Complexity=10000

Check the boxes for the possible factors that evenly divide the number.
13581
 2
 3
 4
 5
 6
 9
 10
 None of the above
Solution
2 is not a factor because the last digit (1) is not even.

3 is not a factor because the sum of the digits (3 + 5 + 8 + 1 = 17) is not divisible by 3.

4 is not a factor because the number formed by the last two digits (81) is not divisible by 4.

5 is not a factor because the last digit (1) is not 0 or 5.

6 is not a factor because the number is not divisible by 2 and 3.

9 is not a factor because the sum of the digits (3 + 5 + 8 + 1 = 17) is not divisible by 9.

10 is not a factor because the last digit (1) is not 0.

22060
 2
 3
 4
 5
 6
 9
 10
 None of the above
Solution
2 is a factor because the last digit (0) is even.

3 is not a factor because the sum of the digits (2 + 0 + 6 + 0 = 8) is not divisible by 3.

4 is a factor because the number formed by the last two digits (60) is divisible by 4.

5 is a factor because the last digit (0) is 0 or 5.

6 is not a factor because the number is not divisible by 2 and 3.

9 is not a factor because the sum of the digits (2 + 0 + 6 + 0 = 8) is not divisible by 9.

10 is a factor because the last digit (0) is 0.

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