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Test Divisibility rules

Total questions: 105

Worksheet time: 6hrs 59mins

Name
Class
Date
1.

what is the divisibility rule for 4

a)

Last two numbers divisible by 4

b)

Last 3 numbers divisible by 4

c)

Add all of the digits and divide by 4

d)

Even number

2.

Which number is divisible by 6

a)

1782

b)

1213

c)

536

3.

Which number is divisible by 9

a)

345

b)

8522

c)

98874

4.

Why does the divisibility rule for 6, that if a number is divisible by 2 and 3 then it is divisible by 6.

a)

Because 2x3= 6

b)

2 and 3 are the prime factors for 6

c)

You add up all of the digits and then divide by 6.

5.

Which number is divisible by 4 and 8

a)

6657

b)

7990

c)

554672

6.

If a number is divisible by 9 what other number is it divisible by?

a)

3

b)

4

c)

6

d)

8

7.

Which number is divisible by 2,3,4,5,6,8,9, and 10

a)

2 520

b)

765 894

c)

820

8.

What is the divisibility rule for 1

a)

It has to be an even number

b)

Every number is divisible by 1

c)

Add up all of the digits and if it is divisible by 1 then the whole number is.

9.
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.
10.

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

11.

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

12.

How do you know if a number is divisible by 8?

a)

If the sum of the numbers add up to 8

b)

If the last 3 digits is divisible by 8

c)

if the lat digit is an 8

d)

If the number is an even number

13.

Is 64 Prime or Composite?

a)

Prime

b)

Composite

14.

Is 61 Prime or Composite?

a)

Prime

b)

Composite

15.
Insert the correct digit to make the following number divisible by 3.
60__2
a)
1
b)
2
c)
3
d)
5
16.

What is the divisibility rule for 4?

a)

The last two digits form a number divisible by 4

b)

The last digit is a number divisible by 4

c)

The last digit is even

d)

The last digit is zero

17.

What is the divisibility rule for 5?

a)

It is divisible by 2 and 3

b)

The last digit is a five

c)

The last digit is five or zero

d)

The last digit is zero

18.

Which of the following statements is true of this number?

a)

It is divisible by 3 and 9

b)

It is divisible by 2, 3, and 6

c)

It is divisible by 3

d)

It is prime

19.

Which of the following statements is true of this number?

a)

It is divisible by 2, 6, and 9

b)

It is divisible by 3 and 9

c)

It is divisible by 3

d)

It is prime

20.

What is the divisibility rule of 9?

a)

The sum of the digits is a number divisible by 3

b)

The sum of the digits is a number divisible by 9

c)

The last two digits form a number divisible by 3

d)

The last digit is zero

21.
Which of the following is an even number?
a)
1
b)
9
c)
4
d)
5
22.

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

23.

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

24.

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

25.
All of these numbers are divisible by 5 except for...
a)
75,395
b)
984,940
c)
222,222,235
d)
8,943,892
26.

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

27.
Is 816 divisible by 3?
a)
Yes
b)
No
28.

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

29.

Is 19,584 divisible by 9?

a)

Yes

b)

No

30.
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
31.
Insert the correct digit to make the following number divisible by 3.
60__2
a)
1
b)
2
c)
3
d)
5
32.

54,322 is divisible by 3

a)

True

b)

False

33.

What is the divisibility rule for 1

a)

It has to be an even number

b)

Every number is divisible by 1

c)

Add up all of the digits and if it is divisible by 1 then the whole number is.

34.

Is 61 Prime or Composite?

a)

Prime

b)

Composite

35.

insert the greatest digit to make the following number divisible by 3.

98732_6

a)

9

b)

8

c)

7

d)

1

36.

insert the correct digit to make the following number divisible by 9.

987654_2

a)

6

b)

4

c)

13

d)

1

37.
Which of the following is an even number?
a)
1
b)
9
c)
4
d)
5
38.
Is 64 divisible by 2?
a)
Yes
b)
No
39.
70 can be evenly divided by which number?
a)
5
b)
10
c)
2
d)
All of the above
40.
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.
41.

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.

42.
Is 95 divisible by 5?
a)
Yes
b)
No
43.
Is 81 divisible by 3?
a)
Yes
b)
No
44.
Which of these is divisible by 6?
a)
515
b)
59
c)
2086
d)
6312
45.
Which of these is divisible by 9?
a)
9629
b)
9199
c)
9963
d)
4919
46.
Which of these is divisible by 3?
a)
3131
b)
71
c)
6043
d)
804
47.
Which of these is divisible by 10?
a)
8105
b)
375
c)
460
d)
52
48.
Which of these is divisible by 6?
a)
318
b)
215
c)
7000
d)
4765
49.
Which of these id divisible by 9?
a)
1308
b)
495
c)
361
d)
842
50.
Which of these is divisible by 3?
a)

4500

b)

3700

c)

5200

d)

1000

51.
Which of these is divisible by 2?
a)
243
b)
89
c)
50808
d)
5439
52.
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
53.
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
54.
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
55.

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

56.
Insert the correct digit to make the following number divisible by 3.
60__2
a)
1
b)
2
c)
3
d)
5
57.

if the sum of the digits is a multiple of three, its divisible by ?

a)

1

b)

2

c)

3

d)

4

58.

if the number ends in a 5 or 0, the number is divisible by ?

a)

5

b)

15

c)

10

d)

20

59.

if the number you have is divisible by two and three, it is also divisible by ?

a)

6

b)

4

c)

2

d)

3

60.

if the sum of the digits is a multiple of nine, its also divisible by ?

a)

3

b)

6

c)

9

d)

12

61.

621 is divisible by

a)

3

b)

7

c)

2

d)

5

62.
All of these numbers are divisible by 5 except for...
a)
75,395
b)
984,940
c)
222,222,235
d)
8,943,892
63.
Is 525 divisible by 5?
a)
Yes
b)
No
64.

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

65.
70 can be evenly divided by which number?
a)
5
b)
10
c)
2
d)
All of the above
66.

135 is divisible by what?

a)

4

b)

9

c)

3

d)

25

67.

What is the divisibility rule for 7?

a)

Add all the digits together. If the sum is divisible by 7, then the original number is also divisible by 7.

b)

If the number ends in 0 or 5, it is divisible by 7.

c)

If the number is odd, it is divisible by 7.

d)

Take the last digit, double it, and subtract it from the rest of the number. If the result is divisible by 7, then the original number is also divisible by 7.

68.

If a number is divisible by both 7 and 8, what is the smallest number it could be?

a)

35

b)

64

c)

56

d)

42

69.

What is the divisibility rule for 9?

a)

The number must end in 9

b)

The sum of the digits must be divisible by 3

c)

The sum of the digits must be divisible by 9.

d)

The number must be odd

70.

If a number is divisible by 7, 8, and 9, what is the smallest number it could be?

a)

252

b)

315

c)

100

d)

504

71.

What is the divisibility rule for 10?

a)

The number must be odd

b)

The number must be a prime number

c)

The number must be a multiple of 5

d)

The divisibility rule for 10 is that the number must end in 0.

72.

If a number is divisible by 7 and 10, what is the smallest number it could be?

a)

50

b)

100

c)

70

d)

35

73.

What is the divisibility rule for 8?

a)

The divisibility rule for 8 is that the sum of the digits must be divisible by 8.

b)

The divisibility rule for 8 is that the number must be even.

c)

The divisibility rule for 8 is that the last three digits of the number must be divisible by 8.

d)

The divisibility rule for 8 is that the number must end in 8 or 0.

74.

If a number is divisible by 7, 8, and 10, what is the smallest number it could be?

a)

280

b)

150

c)

200

d)

250

75.

If a number is divisible by 7, 9, and 10, what is the smallest number it could be?

a)

630

b)

567

c)

315

d)

700

76.

If a number is divisible by 7, 8, 9, and 10, what is the smallest number it could be?

a)

2000

b)

3000

c)

2520

d)

1000

77.

Is 83 divisible by 3, 4, or 5

a)

Easy Question: Divisible by 5

b)

Hard Question: Divisible by 4

c)

Easy Question: It is divisible by 3

d)

Trick Question: 83 = prime

78.

What number is 448 divisible by?

a)

Easy Question: Divisible by 5

b)

Hard Question: Divisible by 7

c)

Easy Question: It is divisible by 6

d)

Trick Question: It is prime

79.

What number is lowest number that 639 is divisible by (Only Accepting Whole Number move than 1)?

(a)  

80.

What number is lowest number that 834 is divisible by(Only Accepting Whole Number move than 1)?

(a)  

81.

Is 84 a prime number?

a)

Yes

b)

No

82.

Is 53 a prime number?

a)

Yes

b)

No

83.

Is 90 a prime number?

a)

Yes

b)

No

84.

What number is 58 divisible by?

a)

Easy Question: Divisible by 3

b)

Hard Question: Divisible by 7

c)

Easy Question: It is divisible by 2

d)

Trick Question: 58 = prime

85.

What number is 54 divisible by?

a)

Easy Question: Divisible by 3

b)

Hard Question: Divisible by 7

c)

Easy Question: It is divisible by 6

d)

Trick Question: 58 = prime

86.

What number is 161 divisible by?

a)

Easy Question: Divisible by 5

b)

Hard Question: Divisible by 7

c)

Easy Question: It is divisible by 6

d)

Trick Question: 161 != prime

87.

917,825,106 is divisible by 2. Hint: Determine if the number in the ones place is even.

a)

True

b)

False.

88.

343 is divisible by 3. Hint: Add up the digits and see if the sum is a multiple of 3.

a)

True

b)

False

89.

970 is divisible by 5. Hint: Determine if the number in the ones place is a 0 or a 5.

a)

True

b)

False

90.

230 is divisible by 10. Hint: Determine if the digit in the ones place is a 0.

a)

True

b)

False

91.

27 is divisible by 2. Hint: Determine if the number in the ones place is even.

a)

True

b)

False

92.

8,425 is divisible by 5. Hint: Determine if the number in the ones place is a 0 or a 5.

a)

True

b)

False

93.

73 is divisible by 10. Hint: Determine if the digit in the ones place is a 0.

a)

True

b)

False

94.

84 is divisible by 3. Hint: Add up the digits and see if the sum is a multiple of 3.

a)

True

b)

False

95.

7,154 is divisible by 2.

a)

False because the digit in the thousands place is an odd number.

b)

False because the sum of the digits (7 + 1 + 5 + 4) is 17 which is an odd number.

c)

True because the digit in the ones place is a 4, and 4 is an even number.

d)

True because the number in the thousands place is a 7.

96.

462 is divisible by 3.

a)

True because 4 + 6 + 2 = 12 and 12 is a multiple of 3.

b)

True because the number in the ones place is even.

c)

False because the number in the ones place is not a 3, 6, or 9

d)

True because it contains a 6 which is a multiple of 3.

97.

56 is divisible by 5.

a)

True because the number in the tens place is a 5.

b)

False because the number in the ones place is NOT a 0 or a 5.

c)

False because the sum of the digits ( 5 + 6) is 11 which is not a multiple of 5.

d)

True because the sum of the digits (5 + 6) is 11.

98.

23 is divisible by 3.

a)

True because the number in the ones place is a 3.

b)

True because it is an odd number.

c)

False because the sum of the digits (2+3) is 5 and 5 is not a multiple of 3.

d)

False because the number does not end in 0 or 5.

99.

78 is divisible by 2.

a)

True because it is a small number.

b)

True because the digit in the ones place is an even number.

c)

False because the number in the tens place is a 7.

d)

False because the number does not end in 0 or 5.

100.

278,190 is divisible by 5

a)

False because it is a very large number.

b)

True because the number in the ones place is an even number.

c)

False because the number in the ones place is a 0.

d)

True. If the number in the ones place is a 0 or 5, then the number is able to be divided by 5.

101.

12, 505 is divisible by 10.

a)

True because the number in the ones place is a 0 or 5.

b)

True because this is a large number.

c)

False because the number in the ones place is NOT 0.

d)

False because the number in the ones place is NOT an even number.

102.

52,850 is divisible by 2. Hint: Determine if the number in the ones place is even.

a)

True

b)

False.

103.

7,521 is divisible by 3. Hint: Add up the digits and see if the sum is a multiple of 3.

a)

True

b)

False

104.

506 is divisible by 5. Hint: Determine if the number in the ones place is a 0 or a 5.

a)

True

b)

False

105.

1,126 is divisible by 10. Hint: Determine if the digit in the ones place is a 0.

a)

True

b)

False