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Worksheets

Divisibility

Total questions: 36

Worksheet time: 28mins

Name
Class
Date
1.
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.
2.
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.
3.
Is 64 divisible by 2?
a)
Yes
b)
No
4.

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.

5.
Which of these is divisible by 9?
a)
9629
b)
9199
c)
9963
d)
4919
6.
Which of these is divisible by 3?
a)
3131
b)
71
c)
6043
d)
804
7.
Which of these is divisible by 10?
a)
8105
b)
375
c)
460
d)
52
8.
Which of these is divisible by 3?
a)
$4500
b)
$3700
c)
$5200
d)
$1000
9.
Which of these is divisible by 2?
a)
243
b)
89
c)
50808
d)
5439
10.
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
11.
Which of the following is an even number?
a)
1
b)
9
c)
4
d)
5
12.

You have two numbers, 20 and 100. Both numbers are divisible by _____.

a)

3

b)

10

c)

9

d)

15

13.

You have two numbers, 36 and 72. Both 36 and 72 are divisible by _______.

a)

9

b)

3

c)

6

d)

All of the above

14.

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.

15.

Is 4 a factor of 46?

a)

Yes

b)

No

16.

Is 2 a factor of 64?

a)

Yes

b)

No

17.

Is 5 a factor of 75?

a)

Yes

b)

No

18.
All of these numbers are divisible by 5 except for...
a)
75,395
b)
984,940
c)
222,222,235
d)
8,943,892
19.
Which of the following is an even number?
a)
1
b)
9
c)
4
d)
5
20.

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

21.
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
22.

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

23.

What is the divisibility rule for 6?

a)

It is divisible by 2 and 3

b)

It is divisible by 3 and 4

c)

It is divisible by 2 and 4

d)

The last digit is zero

24.

What is the divisibility rule for 7?

a)

Add the digits of the number together and divide by 7

b)

If the last two digits are divisible by 7

c)

If you double the last digit and subtract from the rest of the number you get a multiple of 7

d)

Add up every third digit and subtract from the rest of the number

25.

How do you know if a number is divisible by 11?

a)

Add every second digit. Add every other digit. The difference has to be a multiple of 11 or 0

b)

Add up all the digits and it has to be a multiple of 11

c)

There is no divisibility rule

d)

Subtract the last 3 digits from the rest of the number

26.

What is the smallest digit that must be written on the blank to make

_ 45,146 divisible by 9?

(a)  

27.

What is the smallest digit that must be written on the blank to make

5 , _ 67 divisible by 11?

(a)  

28.

What is the smallest digit that must be written on the blank to make 34,4_2 divisible by 8?

(a)  

29.

What is 2970 divisible by?

Select all that apply.

a)

2

b)

3

c)

5

d)

9

e)

11

30.

What is 21423 divisible by?

Select all that apply.

a)

2

b)

3

c)

6

d)

9

e)

11

31.

What is 550 divisible by?

Select all that apply.

a)

2

b)

3

c)

7

d)

10

e)

11

32.

What is 39348 divisible by?

Select all that apply.

a)

2

b)

3

c)

4

d)

9

e)

11

33.

Which number is divisible by 9

a)

345

b)

8522

c)

98874

34.

 

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

35.

 

Is 36,928 divisible by 4?

a)

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

b)

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

c)

Yes, because it is an even number

d)

Yes, because it is divisible by 2 and 3

36.

 

Insert the correct digit to make the following number divisible by 3.

60_2

a)

1

b)

2

c)

3

d)

5