Free Printable Divisibility and Fractions

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 2, 5, and 10?

a)

1 234 567

b)

872 890

c)

574

4.

Which number is divisible by 9

a)

345

b)

8522

c)

98874

5.

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.

6.

Which number is divisible by 4 and 8

a)

6657

b)

7990

c)

554672

7.

Which number is divisible by 9

a)

65 968

b)

4 321

c)

432

8.

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

a)

3

b)

4

c)

6

d)

8

9.

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

a)

2 520

b)

765 894

c)

820

10.

What is a prime factor?

a)

A number that can only be divided by one

b)

2 or more numbers that are divisors of a number and can not be divided by another number making it smaller

c)

a tree like image filled with numbers

11.

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.

12.

What happens when you divide by 0

a)

Calculator turns off

b)

0 appears

c)

it is undefined

13.

What number is divisible by 8 and 9

a)

288

b)

3,356

c)

124

14.

A number is divisible by another number when the quotient is a whole number—a number with no remainder.

When a number is divisible by another number, the quotient is...

a)

has a remainder

b)

is less than 1

c)

is larger than the dividend

d)

is a whole number

15.

Divisibility rules are rules that can be used as a quick test to figure out if one number is divisible by another. Divisibility rules let us determine divisibility without actually calculating a quotient.

Every even number is divisible by 2

In which choice below are ALL of the numbers divisible by 2?

a)

32, 72, 856, 401

b)

84, 92, 850, 396

c)

92, 86, 461, 982

16.

Divisibility rules are rules that can be used as a quick test to figure out if one number is divisible by another. Divisibility rules let us determine divisibility without actually calculating a quotient.

If the sum of all digits in a number is divisible by 3, that number is divisible by 3.

In which choice below, are ALL of the numbers divisible by 3?

a)

93, 105, 333

b)

80, 93, 180

c)

45, 600, 41

17.

Divisibility rules are rules that can be used as a quick test to figure out if one number is divisible by another. Divisibility rules let us determine divisibility without actually calculating a quotient.

If the last two digits of a number are divisible by 4, that number is divisible by 4.

In which choice below are ALL of the numbers divisible by 4?

a)

724, 616, 810

b)

932, 804, 414

c)

512, 908, 724

18.

Divisibility rules are rules that can be used as a quick test to figure out if one number is divisible by another. Divisibility rules let us determine divisibility without actually calculating a quotient.

Every number that ends in 0 or 5 is divisible by 5.

In which choice below are ALL of the numbers divisible by 5?

a)

625, 980, 754

b)

935, 840, 295

c)

450, 655, 901

19.

The divisibility rule for 6 is more complicated. If a number’s last digit is even and the sum of its digits is divisible by 3, that number is divisible by 6. In other words, if a number passes the test for both 2 and 3, it is divisible by 6. For example, we know 72 is divisible by 6 because its last digit, 2, is an even number, and the sum of its digits, 9, is divisible by 3.

In which of the choices below are BOTH of the numbers divisible by 6?

a)

235, 450

b)

360, 138

c)

901, 567

20.

If the sum of all digits in a number is divisible by 9, that number is divisible by 9. Which choice below is correct?

a)

8,145 = 8 + 1 + 4 + 5 = 18, 18 undefined 9 = 2, so 8,145 is divisible by 9

b)

8,143 = 8 + 1 + 4 + 3 = 16, 16 $\div$ 9 = 2, so 8,143 is divisible by 9

21.

Every number that ends in 0 is divisible by 10.

Which of these numbers is NOT divisible by 10?

a)

14,940

b)

723,450

c)

25,910

d)

923,720

e)

870,123

22.

A number is divisible by another number when the quotient...

a)

is a decimal

b)

is an even number

c)

has no remainder

d)

is zero

23.

True or False: Not every whole number is divisible by 1.

a)

True

b)

False

24.

When the last digit of a number is _____, that number is divisible by 2.

a)

zero

b)

a decimal

c)

odd

d)

even

25.

If the _____ of all digits in a number is divisible by 3, that number is divisible by 3.

a)

sum

b)

square root

c)

difference

d)

average

26.

If the _____ digits of a number are divisible by 4, that number is divisible by 4.

a)

first two

b)

last two

c)

middle two

d)

first and last two

27.

Which of the following numbers is divisible by 5?

a)

7,481

b)

9,560

c)

11

d)

326

28.

True or False: A number is divisible by 6 if the last digit is even or the sum of all digits is divisible by 3.

a)

True

b)

False

29.

If the sum of all digits in a number _____, that number is divisible by 9.

a)

is greater than 1

b)

is divisible by 3

c)

is divisible by 9

d)

adds up to 6

30.

f the final digit of a number is _____, that number is divisible by 10.

a)

0

b)

5

c)

0 or 5

d)

even

e)

odd

31.

Which of the following numbers is divisible by 4?

a)

1,351

b)

4,363

c)

3,816

d)

2,318

32.

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

a)

True

b)

False.

33.

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

a)

True

b)

False

34.

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

a)

True

b)

False

35.

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

a)

True

b)

False

36.

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

a)

True

b)

False

37.

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

38.

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

a)

True

b)

False

39.

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

a)

True

b)

False

40.

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.

41.

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.

42.

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.

43.

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.

44.

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.

45.

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.

46.

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.

47.

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

a)

True

b)

False.

48.

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

49.

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

a)

True

b)

False

50.

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

a)

True

b)

False

51.

Find the GCF of 14 & 22.

a)

1

b)

2

c)

7

d)

14

52.

What is the GCF of 8 and 10?

a)

1

b)

3

c)

4

d)

2

53.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

54.

Find the GCF of 21 and 28

a)

3

b)

4

c)

7

d)

14

55.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

56.

The common factors of 16 and 24 are....

a)

2, 4 and 8

b)

2, 4, 12, and 24

c)

1, 2, 4 and 8

d)

2, 4 and 8

57.

The GCF of 25, 75, and 200 is.....

a)

10

b)

5

c)

50

d)

25

58.

GCF of 16 and 18

a)

4

b)

2

c)

6

d)

8

59.

What is the GCF of 20 and 30?

a)

5

b)

2

c)

10

d)

20

60.

GCF of 12 and 28

a)

3

b)

6

c)

2

d)

4

61.

Find the GCF of 14 & 22.

a)

1

b)

2

c)

7

d)

14

62.

What is the GCF of 24 and 30?

a)

2

b)

12

c)

6

d)

3

63.

GCF of 9 and 36

a)

3

b)

6

c)

9

d)

12

e)

Not Given

64.

GCF of 20 and 80

a)

10

b)

20

c)

5

d)

40

e)

Not Given

65.

GCF of 36 and 90

a)

9

b)

18

c)

36

d)

12

e)

Not Given

66.

GCF of 48 and 84

a)

3

b)

4

c)

48

d)

12

e)

Not Given

67.

GCF of 30 and 28

a)

2

b)

4

c)

6

d)

7

e)

Not Given

68.

What does GCF stand for?

a)

Good Cold Flu

b)

Gaussian Coefficient Formula

c)

Given Clear Function

d)

Greatest Common Factor

69.

What is the GCF of 20 and 30?

a)

5

b)

2

c)

10

d)

20

70.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

71.

What is the GCF of 4 and 12?

a)

3

b)

1

c)

6

d)

4

72.

a)

A

b)

B

c)

C

d)

D

73.

greatest common factor of 24 and 48.

a)

4

b)

12

c)

24

d)

48

74.

GCF 24 and 36

a)

8

b)

6

c)

12

d)

4

75.

greatest common factor of 24 and 48.

a)

4

b)

12

c)

24

d)

48

76.

What is the GCF of 6 and 12?

a)

2

b)

3

c)

4

d)

6

77.

The table shows the number of students in the school choir. The choir teacher plans to arrange the students in equal rows. Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

a)

16

b)

12

c)

8

d)

4

78.

GCF of 28 and 40

a)

2

b)

4

c)

7

d)

8

79.

What is the greatest factor of 28 and 49?

a)

1

b)

2

c)

7

d)

12

80.

GCF of 15 and 35

a)

15

b)

3

c)

7

d)

5

81.

What is the greatest common factor of 10 and 25?

a)

5

b)

1

c)

10

d)

^₁

82.

What is the greatest common factor of 4 and 8?

a)

2

b)

8

c)

4

d)

1

83.

What is the greatest common factor of 8 and 10?

a)

1

b)

3

c)

4

d)

2

84.

What is the greatest common factor of 4 and 16?

a)

4

b)

2

c)

1

d)

16

85.

What is the greatest common factor of 16 and 24?

a)

6

b)

2

c)

4

d)

8

86.

List the factors of 12 & 20, then identify the greatest common factor.
12-
20-
GCF=

a)

12- 1, 2, 5, 7 20-10, 20, 30, 40 GCF 10

b)

12-1, 12, 24, 36 20-20, 40, 60, 80 GCF 40

c)

12-2, 4, 6 20-1, 10, 20 GCF 20

d)

12-1, 2, 3, 4, 6, 12 20-1, 2, 4,5,10, 20 GCF 4

87.

What is the GCF of 8 and 10?

a)

1

b)

3

c)

4

d)

2

88.

Simplify 9/18 to lowest terms.

a)

1/2

b)

3/6

c)

9/18

d)

5/10

89.

Reduce 4/16 to lowest terms.

a)

4/16

b)

2/8

c)

1/4

d)

4

90.

Simplify 70/80 to lowest terms.

a)

35/40

b)

7/8

c)

9/10

d)

14/16

91.

Reduce 18/24 to lowest terms.

a)

4/3

b)

9/12

c)

3/4

d)

1/2

92.

Simplify 5/40 to lowest terms.

a)

2/20

b)

5/40

c)

8

d)

1/8

93.

Reduce 21/36 to lowest terms.

a)

2/3

b)

11/18

c)

11/12

d)

7/12

94.

Reduce 21/56 to lowest terms.

a)

7/8

b)

3/8

c)

5/13

d)

10/27

95.

Simplify 9/36 to lowest terms.

a)

4

b)

3/12

c)

1/4

d)

12

96.

What number would you divide the numerator and denominator by when simplifying this fraction? 2/12

a)

2

b)

3

c)

6

d)

12

97.

simplify this fraction 30∕60 to the lowest

a)

1/2

b)

15/30

c)

10/20

98.

Simplify 75/75

a)

1/1

b)

2/6

c)

7/5

d)

4/7

99.

Simplify 14/35

a)

3

b)

2/5

c)

5/2

d)

7/17.5

100.

Reduce:
7/56

a)

1/7

b)

7/56

c)

1/6

d)

1/8

101.

Simplify 3/9

a)

1/3

b)

2/3

c)

1/9

d)

3/9

102.

Which fraction is equivalent to 1/2?

a)

10/19

b)

10/17

c)

10/11

d)

10/20

103.

Fully simplify this fraction...

a)

¹⁵⁰/₂₅₀

b)

⁶/₁₀

c)

³/₅

d)

⁶⁰/₁₀₀

104.

Jim’s classroom has 10 windows in total, but one night a storm caused 4 of those to break, How do you write the fraction of the windows which are in good condition in simplest form?

a)

4/10

b)

6/10

c)

2/5

d)

3/5

105.

Ms. Wells has 18 Pokemon cards, she left 12 of her cards at home. What is the fraction of Pokemon cards she left at home? Answer should be in simplest form.

a)

12/18

b)

6/18

c)

2/3

d)

1/3

106.

Mrs. Adamuik ordered a pizza she ate 9/15. There are 6/15 left. How could you simplify how much pizza was left?

a)

6/15

b)

9/15

c)

2/5

d)

3/5

107.

There are 28 birds in a tree. 7 of the birds flew away. What fraction of the birds flew away? Simplify if possible

a)

7/28

b)

1/4

c)

3/4

d)

28/7

108.

Simplify 9/36 to lowest terms.

a)

4

b)

3/12

c)

1/4

d)

12

109.

Simplify 25/45

a)

5/9

b)

2/6

c)

4/5

110.

Simplify 80/70 to lowest terms.

a)

40/35

b)

8/7

c)

10/9

d)

7/8

111.

Solve

a)

5/12

b)

5/24

c)

6/12

d)

6/144

112.

a)

27/4

b)

29/6

c)

29/4

d)

24/4

113.

a)

11/4

b)

16/4

c)

19/4

d)

16/3

114.

Simplify 11/99

a)

already in simplest form

b)

1/9

115.

Simplify 14/35

a)

2/5

b)

7/8

c)

1/4

116.

Change the improper fraction to a mixed number.

a)

1 7/17

b)

7/17

c)

1

d)

24/17

117.

Change the improper fraction to a mixed number.

a)

12/5

b)

2 2/5

c)

2/5

d)

2

Divisibility and Fractions - Practice

Total questions: 117

Worksheet time: 9hrs 49mins

Similar Resources on Wayground