## Divisibility Rules - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

See some of our other supported math practice problems.

### 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.   29        2        3        4        5        6        9        10        None of the above

### Complexity=100

Check the boxes for the possible factors that evenly divide the number.
 1.   32        2        3        4        5        6        9        10        None of the above 2.   81        2        3        4        5        6        9        10        None of the above

### Complexity=1000

Check the boxes for the possible factors that evenly divide the number.
 1.   332        2        3        4        5        6        9        10        None of the above 2.   620        2        3        4        5        6        9        10        None of the above

### Complexity=10000

Check the boxes for the possible factors that evenly divide the number.
 1.   8489        2        3        4        5        6        9        10        None of the above 2.   4788        2        3        4        5        6        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.

229
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 not a factor because the sum of the digits (2 + 9 = 11) is not divisible by 3.

4 is not a factor because the number formed by the last two digits (29) 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 (2 + 9 = 11) 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.
132
2
3
4
5
6
9
10
None of the above
Solution
2 is a factor because the last digit (2) is even.

3 is not a factor because the sum of the digits (3 + 2 = 5) is not divisible by 3.

4 is a factor because the number formed by the last two digits (32) is divisible by 4.

5 is not a factor because the last digit (2) 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 + 2 = 5) is not divisible by 9.

10 is not a factor because the last digit (2) is not 0.

281
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 a factor because the sum of the digits (8 + 1 = 9) is 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 a factor because the sum of the digits (8 + 1 = 9) is 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.
1332
2
3
4
5
6
9
10
None of the above
Solution
2 is a factor because the last digit (2) is even.

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

4 is a factor because the number formed by the last two digits (32) is divisible by 4.

5 is not a factor because the last digit (2) 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 + 3 + 2 = 8) is not divisible by 9.

10 is not a factor because the last digit (2) is not 0.

2620
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 (6 + 2 + 0 = 8) is not divisible by 3.

4 is a factor because the number formed by the last two digits (20) 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 (6 + 2 + 0 = 8) is not divisible by 9.

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

### Complexity=10000

Check the boxes for the possible factors that evenly divide the number.
18489
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 not a factor because the sum of the digits (8 + 4 + 8 + 9 = 29) is not divisible by 3.

4 is not a factor because the number formed by the last two digits (89) 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 (8 + 4 + 8 + 9 = 29) is not divisible by 9.

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

24788
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 + 7 + 8 + 8 = 27) is divisible by 3.

4 is a factor because the number formed by the last two digits (88) 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 a factor because the sum of the digits (4 + 7 + 8 + 8 = 27) is divisible by 9.

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