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Worksheets

Divisibility Rules

Total questions: 41

Worksheet time: 1hrs 22mins

Name
Class
Date
1.
What is the divisibility rule for 5?
a)
The digits must add up to 10.
b)
The last digit needs to be a 5 or 0.
c)
The last digit can only be a 5.
d)
The sum of the digits need to be divisible by 5.
2.
Is 525 divisible by 5?
a)
Yes
b)
No
3.
All of these numbers are divisible by 5 except for...
a)
75,395
b)
984,940
c)
222,222,235
d)
8,943,892
4.
Which of the following is an even number?
a)
1
b)
9
c)
4
d)
5
5.

Is 1,284,604 divisible by 2?

a)

Yes, because the sum of the digits is 20, which is an even number

b)

No, because 4 is an odd number

c)

Yes, because 4 is an even number

d)

No, because the it is not divisible by 3

6.

What is the divisibility rule for 3?

a)

Add up the digits. The sum must be an even number

b)

The digits must add up to 9.

c)

The last digit must be a 3.

d)

Add up the digits. The sum must be a multiple of 3.

7.

Is 81 divisible by 3?

a)

Yes, because the sum of the digits is 9, a multiple of 3

b)

No, because 81 is an odd number

c)

Yes, because 81 is an odd number

d)

No, because 81 does not end in 3

8.
Is 816 divisible by 3?
a)
Yes
b)
No
9.

Is 555,509 divisible by 3?

a)

Yes

b)

No

10.

2520 is divisible by 6 because:

a)

It is divisible by 2 (even) and 5 (ends in a 0 or 5)

b)

The sum of the digits is 12, a multiple of 6

c)

It's divisible by 2 (even) and 3 (sum of digits is a multiple of 3)

d)

The sum of the digits is even

11.

What is the divisibility rule for 4?

a)

The sum of the digits must be a multiple of 4

b)

The last two digits must form a number that is a multiple of 4

c)

The number must be divisible by 2 and 3.

d)

The number must end in 0, 2, or 4

12.

Is 36,928 divisible by 4?

a)

Yes, because the sum of the digits is a multiple of 4

b)

Yes, because it is an even number

c)

Yes because the last two digits, 28, is divisible by 4

d)

Yes, because it is divisible by 2 and 3

13.
70 can be evenly divided by which number?
a)
5
b)
10
c)
2
d)
All of the above
14.

A number is divisible by 10 if

a)

It is even

b)

It ends in 0

c)

It ends in 0 or 5

d)

The sum of the digits is a multiple of 10

15.

252 is divisible by 9 because:

a)

The number is divisible by 2 and 3

b)

The sum of the digits is a multiple of 9.

c)

The sum of the digits is a multiple of 3

d)

The sum of the digits is even.

16.

Is 19,584 divisible by 9?

a)

Yes

b)

No

17.

How do you know if a number is divisible by 12?

a)

The sum of the digits must be a multiple of 12

b)

If it ends in 3, 6, or 9

c)

If it is divisible by 3 and 4

d)

If it is divisible by 2 or 3

18.
Which of the following is an even number?
a)
1
b)
9
c)
4
d)
5
19.
Is 64 divisible by 2?
a)
Yes
b)
No
20.
What is the divisibility rule for 3?
a)
Add up the digits. The sum must be even and divisible by 3.
b)
The digits must add up to 9.
c)
The last digit must be a 3.
d)
Add up the digits. The sum must be divisible by 3.
21.

252 is divisible by 9 because:

a)

The digits add up to 18.

b)

The sum of the digits is divisible by 9.

c)

It's even and the sum of the digits is divisible by 3.

d)

The sum of the digits is even.

22.
Is 95 divisible by 5?
a)
Yes
b)
No
23.
Is 81 divisible by 3?
a)
Yes
b)
No
24.
Which of these is divisible by 6?
a)
515
b)
59
c)
2086
d)
6312
25.
Which of these is divisible by 9?
a)
9629
b)
9199
c)
9963
d)
4919
26.
Which of these is divisible by 3?
a)
3131
b)
71
c)
6043
d)
804
27.
Which of these is divisible by 10?
a)
8105
b)
375
c)
460
d)
52
28.
Which of these is divisible by 6?
a)
318
b)
215
c)
7000
d)
4765
29.
Which of these id divisible by 9?
a)
1308
b)
495
c)
361
d)
842
30.
Which of these is divisible by 3?
a)
$4500
b)
$3700
c)
$5200
d)
$1000
31.
Which of these is divisible by 2?
a)
243
b)
89
c)
50808
d)
5439
32.
Any whole number is divisible by 6 if it is divisible by
a)
2 and 3
b)
2 and 4
c)
9 and 1
d)
5 and 10
33.
Any whole number is divisible by 9 if the sum of the digitis 
a)
is divisible by 9
b)
is divisible by 4
c)
ends in 0 or 5
d)
ends in 3, 6, or 9
34.
Any whole number is divisible by 3 if the sum of the digits is
a)
greater than 3
b)
divisible by 3
c)
an even number
d)
an odd number
35.
The number 70,110 is divisible by...
a)
2, 3, 4, 5, 6, 9, 10
b)
2, 3, 4, 5, 6, 8, 9, 10
c)
2, 3, 5, 6, 9, 10
d)
2, 3, 5, 9, 10
36.
The number 70,110 is divisible by...
a)
2, 3, 4, 5, 6, 9, 10
b)
2, 3, 4, 5, 6, 8, 9, 10
c)
2, 3, 5, 6, 9, 10
d)
2, 3, 5, 9, 10
37.
Insert the correct digit to make the following number divisible by 3.
60__2
a)
1
b)
2
c)
3
d)
5
38.
You have two numbers, 36 and 72. What number can you divide out of both of them?
a)
9
b)
3
c)
6
d)
All of the above
39.
You have two numbers, 20 and 100. What number can you divide out of both of them?
a)
3
b)
10
c)
9
d)
15
40.

252 is divisible by 9 because:

a)

The digits add up to 18.

b)

The sum of the digits is divisible by 9.

c)

It's even and the sum of the digits is divisible by 3.

d)

The sum of the digits is even.

41.

Which number is divisible by 6

a)

1782

b)

1213

c)

536