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Number Sense part 1 review

Total questions: 100

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
Write the prime factorization of 48
a)
2^4 * 3 
b)
3 * 2^4
c)
2 *3* 5
d)
3*3*3
2.
Write the prime factorization of 75
a)
3*8
b)
5^2*3
c)
3*5^2
d)
4*7
3.
Write the prime factorization of 200
a)
2^3*5^2
b)
3^2*2^5
c)
5^5
d)
5^2*2^3
4.

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

a)

True

b)

False.

5.

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

a)

True

b)

False

6.

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

a)

True

b)

False

7.

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

a)

True

b)

False

8.

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

a)

True

b)

False

9.

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.

10.

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.

11.

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.

12.

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.

13.

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.

14.

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.

15.

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

16.

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

a)

True

b)

False

17.

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

a)

True

b)

False

18.

What number does this rule apply to?

If the last digit ends in 0, 2, 4, 6, 8.

a)

2

b)

3

c)

4

d)

5

19.

Which number does this rule apply to?

The last 2 digits must be divisible by _

a)

3

b)

4

c)

5

d)

6

20.

The sum of the digits must be divisible by _

a)

3

b)

4

c)

5

d)

6

21.

The number is divisible by _ if it's also divisible by 2 and 3.

a)

4

b)

5

c)

6

d)

9

22.

All of these numbers are divisible by 5 except for...

a)

75,395

b)

222,222,235

c)

984,940

d)

8,943,892

23.

 

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

24.

Is 816 divisible by 3?

a)

Yes

b)

No

25.

 

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

26.

 

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

27.

2520 is divisible by 9 because:

a)

The number is divisible by 2 and 3

b)

The sum of the digits is a multiple of 3

c)

The sum of the digits is a multiple of 9.

d)

The sum of the digits is even.

28.

Is 19,584 divisible by 9?

a)

Yes

b)

No

29.

Which of the following numbers is NOT divisible by 4?

a)

1000

b)

1566

c)

5740

d)

2024

30.

 

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

60_2

a)

1

b)

2

c)

3

d)

5

31.

105 is NOT divisible by which number?

a)

1

b)

3

c)

2

d)

5

32.

40,020 is NOT divisible by which number?

a)

2

b)

3

c)

6

d)

9

33.

Which of these numbers is divisible by 2 AND 5?

a)

675

b)

670

c)

674

d)

673

34.

Is 333,353 divisible by 3?

a)

Yes

b)

No

35.

Is 36,928 divisible by 4?

a)

Yes

b)

No

36.

Which of these numbers is a multiple of 20?

a)

1

b)

5

c)

25

d)

40

37.

Write down the first four multiples of 6

(a)  

38.

Write down the first even multiple of 9

(a)  

39.

From the list of numbers


1 , 7 , 9 , 12 , 21 , 23 , 30 , 36 , 42


Write down all the multiples of 7

a)

7

b)

7, 21 and 42

c)

7 and 21

d)

1 and 7

40.

The factors of 30 are

1, 2, 3, 5, ?, 10, ? 30


What are the two missing numbers?

a)

6 and 16

b)

7 and 6

c)

6 and 15

d)

8 and 4

41.

From the list of numbers


3 , 5 , 7 , 9 , 11 , 15 , 24


Write down a factor of 12

(a)  

42.

From the list of numbers


3 , 5 , 7 , 9 , 11 , 15 , 24


Write down all the factors of 21

(a)  

43.

Here is a list of numbers


6 , 10 , 11 , 16 , 24 , 30 , 40


Which numbers are multiples of 10?

a)

6

b)

30 and 40

c)

20

d)

10, 30 and 40

44.

Write down a number less that 30 that is a multiple of both 4 and 5.

(a)  

45.

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

a)

24, 30, 34

b)

24, 36, 42

c)

24, 30, 36

d)

22, 28, 34

46.
Joe has listed the first 4 multiples of 7 as: 
7   14    22     28
Which one is incorrect?
a)
7
b)
14
c)
22
d)
28
47.

A prime number is...

a)

a number that has only one factor.

b)

a number that has at least two factors.

c)

a number that has more than two factors.

d)

a number that has only two factors.

(1 and itself)

48.
Numbers that can be multiplied together to make a product.
a)
multiples
b)
sum
c)
factors
d)
facts
49.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
50.
Which number is prime?
a)
25
b)
11
c)
36
d)
14
51.
Factors are always the same or smaller than the original number. True or False
a)
False
b)
True
52.
What number is the only even prime number?
a)
0
b)
2
c)
1
d)
3
53.
Which number is NOT prime?
a)
3
b)
7
c)
17
d)
21
54.

TRUE or FALSE?


A FACTOR is greater than the number you are factoring

a)

TRUE

b)

FALSE

55.

Find ALL FACTORS of 24

a)

1, 2, 12, 24

b)

1, 2, 8, 24

c)

1, 2, 3, 4, 5, 6, 8, 12, 24

d)

1, 2, 3, 4, 6, 8, 12, 24

56.
14, 49, and 28 are all multiples of what number?
a)
2
b)
7
c)
4
d)
5
57.
Which number is a factor of 6?
a)
12
b)
2
c)
8
d)
10
58.

Which of the following is a factor of 12? Select all that apply.

a)

12

b)

2

c)

24

d)

3

59.
Find the prime number.
a)
10
b)
9
c)
7
d)
4
60.
What are all prime numbers divisible by?
a)
1, 2, and itself
b)
1 and itself
c)
Every number from 1-10
d)
They aren't divisable at all
61.
Which number is prime? 
a)
1
b)
37
c)
63
d)
33
62.
Which list has only prime numbers?
a)
2, 3, 4, 5
b)
1, 5, 7, 9
c)
2, 3, 5, 7
d)
2, 4, 6, 8
63.

Is 51 prime?

a)

yes

b)

no

64.

is 97 prime?

a)

yes

b)

no

65.
Is 67 prime, composite, or neither?
a)
Neither
b)
Prime
c)
Composite
66.

Which of the following odd numbers are composite numbers?

a)

9

b)

15

c)

17

d)

21

e)

31

67.

List the first 10 prime numbers:

a)

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

b)

2, 3, 4, 5, 7, 8, 9, 10, 11, 13

c)

2, 3, 5, 7, 9, 11,13, 15, 17, 19

d)

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

68.

Find the GCF of 12 and 28.

(a)  

69.

Find the GCF of 24 and 56.

(a)  

70.

What is the GCF of 99 and 54?

(a)  

71.

Find the LCM of 12 and 16.

(a)  

72.
Find the Greatest Common Factor (GCF) OF 12,  18 & 30
a)
1
b)
3
c)
6
d)
12
73.
Find the Greatest Common Factor (GCF) of 60 and 75
a)
1
b)
3
c)
5
d)
15
74.
One is 
a)
prime
b)
composite
c)
not prime or composite
d)
the loneliest number that you'll ever do
75.
2 x 2 x 2  or 23 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
76.

Create a factor tree and find the prime factorization for 80

a)

24⋅5

b)

42⋅5

c)

2⋅2⋅2

d)

8⋅5⋅2

77.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x22x3
c)
3x24
d)
12x4
78.

Which prime factorization represents the number 18.

a)

2 x 2 x 2

b)

2 x 3 x 3

c)

2 x 2 x 3 x 3

d)

2 x 2 x 2 x 2 x 2

79.

What is the LCM of 4 and 18?

a)

18

b)

36

c)

4

d)

108

80.

Find the GCF of 24 and 36.

a)

6

b)

12

c)

18

d)

30

81.

Find the LCM of 15 and 25.

a)

60

b)

45

c)

75

d)

30

82.

Find the GCF of 48 and 60.

a)

6

b)

24

c)

12

d)

36

83.

Find the GCF of 72 and 90.

a)

12

b)

24

c)

36

d)

18

84.

Find the GCF of 56 and 84.

a)

14

b)

28

c)

42

d)

70

85.

Find the LCM of 16 and 20.

a)

80

b)

120

c)

100

d)

60

86.

Find the GCF of 63 and 81.

a)

7

b)

12

c)

15

d)

9

87.
Find the Greatest Common Factor (GCF) of 60 and 75
a)
1
b)
3
c)
5
d)
15
88.
The following prime factorization represents which number:  22 x 3 x 7
a)
14
b)
84
c)
42
d)
70
89.
If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a)
2⋅3⋅5⋅7
b)
2³⋅3²⋅5⋅7
c)
2²⋅3²⋅5⋅7
d)
8⋅9⋅35
90.

Find the prime factorization of 75 in exponential form.

a)
3 × 52
b)
32 × 5
c)
5 × 15
d)
32 × 52
91.
a)

18 = 2 x 2 x 3

b)

18 = 2 x 9

c)

18 = 2 x 3 x 3

92.

Find the prime factorization of 30.

a)

30 = 5 x 6

b)

30 = 2 x 3 x 5

c)

30 = 2 x 3 x 6

93.
a)

42 = 2 x 3 x 7

b)

42 = 2 x 3 x 6

c)

42 = 2 x 3 x 5

94.
a)

56 = 2 x 2 x 2 x 2 x7

b)

56 = 232^3 x 7

c)

56 = 2 x 2 x 2 x 7

d)

56 = 7 × 247\ \times\ 2^4  

95.

The prime factors of 70 are?

a)

3 x 5 x 7

b)

5 x 7 x 7

c)

2 x 5 x 7

96.
Only 1 answer below could be correct for the prime factorization of a number. Which answer could be correct. 
a)
4⋅2⋅5
b)
2⋅32⋅7
c)
152⋅7
d)
7²⋅4²
97.

Find the prime factorization of 72

a)

23 x 32

b)

2 x 32 x 4

c)

24 x 33

d)

22 x 62

98.

What is the prime factorization of 192 ? 

a)

3 ⋅ 62

b)

26 ⋅ 3

c)

28 ⋅ 3

d)

3 ⋅ 82 

99.

What number is never allowed on a factor tree by itself?

a)

13

b)

1

c)

2

d)

8675309

100.

Jaselyn and Ky are working on the prime factorization of 63. Read their explanations and decide which student is correct.

a)

Jaselyn said the prime factorization of 63 is 7 x 9 because 7 times 9 is 63.

b)

Ky said the prime factorization of 63 is 32 x 7 because 32 times 7 equals 63 and the bases in his answer are all prime.

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