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Worksheets

Cynthia Understanding Prime and Composite Numbers

Total questions: 32

Worksheet time: 16mins

Name
Class
Date
1.

What is a prime number?

a)

A prime number is any even number.

b)

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

c)

A prime number is a natural number less than 1.

d)

A prime number is a number that can be divided by 2.

2.

Identify if 7 is a prime number.

a)

No, 7 is not a prime number.

b)

7 is an even number.

c)

Yes, 7 is a prime number.

d)

7 is a composite number.

3.

Is 12 a prime number or a composite number?

a)

prime

b)

even

c)

odd

d)

composite

4.

List all the prime numbers between 1 and 20.

a)

[2, 3, 5, 7, 11, 13, 17, 19]

b)

2, 4, 6, 8, 10, 12, 14, 16, 18

c)

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

d)

1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20

5.

What is the smallest prime number?

a)

2

b)

3

c)

1

d)

5

6.

Identify if 15 is a prime number.

a)

It is only divisible by 1

b)

15 is a composite number

c)

Yes

d)

No

7.

What is a composite number?

a)

A composite number is a prime number greater than 1.

b)

A composite number is any negative integer.

c)

A composite number is a positive integer that is only divisible by 1.

d)

A composite number is a positive integer greater than 1 that is not prime.

8.

Is 1 a prime number? Why or why not?

a)

Yes, 1 is a prime number because it is only divisible by itself.

b)

No, 1 is not a prime number.

c)

1 is a prime number since it has two distinct positive divisors.

d)

1 is considered a prime number in some mathematical contexts.

9.

List the factors of 18.

a)

2, 3, 5, 6, 9, 11

b)

[1, 2, 3, 6, 9, 18]

c)

4, 5, 7, 8, 10, 12

d)

1, 2, 3, 6, 9, 15

10.

What is the difference between prime and composite numbers?

a)

Prime numbers can be divided by any number; composite numbers cannot.

b)

Prime numbers have more than two divisors; composite numbers have exactly two.

c)

Prime numbers have exactly two distinct positive divisors; composite numbers have more than two.

d)

Prime numbers are always even; composite numbers are always odd.

11.

Identify if 29 is a prime number.

a)

29 is an even number.

b)

29 is a composite number.

c)

29 is a perfect square.

d)

Yes, 29 is a prime number.

12.

How many factors does a prime number have?

a)

2

b)

3

c)

4

d)

1

13.

Is 20 a prime number or a composite number?

a)

prime

b)

composite

c)

even

d)

odd

14.

List all the composite numbers between 1 and 30.

a)

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30

b)

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

c)

4, 6, 8, 10, 12, 14, 16, 18, 20, 22

d)

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

15.

What is the largest prime number less than 50?

a)

47

b)

41

c)

43

d)

37

16.

Identify the multiples of 5 up to 50.

a)

10, 20, 30, 40, 50, 60

b)

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

c)

[5, 10, 15, 20, 25, 30, 35, 40, 45, 50]

d)

5, 10, 20, 30, 40, 50

17.

What are the prime factors of 30?

a)

[2, 3, 5]

b)

3, 4, 5

c)

2, 5, 6

d)

1, 2, 3

18.

Is 9 a prime number? Why or why not?

a)

9 is a prime number as it cannot be divided evenly by any other number.

b)

Yes, 9 is a prime number because it is odd.

c)

No, 9 is not a prime number.

d)

9 is a prime number since it has only two divisors: 1 and 9.

19.

What is the prime factorization of 28?

a)

2^2 × 7

b)

1 × 28

c)

4 × 7

d)

2 × 14

20.

Identify if 21 is a prime number or a composite number.

a)

odd

b)

prime

c)

even

d)

composite

21.

Is 18 a prime number? Why or why not?

a)

Yes, 18 is a prime number because it is only divisible by itself.

b)

No, 18 is not a prime number.

c)

18 is a prime number since it has two distinct positive divisors.

d)

18 is considered a prime number in some mathematical contexts.

22.

What is the prime factorization of 45?

a)

3^2 × 5

b)

1 × 45

c)

5 × 9

d)

3 × 15

23.

Identify if 25 is a prime number or a composite number.

a)

prime

b)

composite

c)

even

d)

odd

24.

What is the prime factorization of 60?

a)

2^2 × 3 × 5

b)

1 × 60

c)

3 × 20

d)

2 × 30

25.

Is 14 a prime number or a composite number?

a)

prime

b)

composite

c)

even

d)

odd

26.

What is the largest prime number less than 100?

a)

97

b)

89

c)

91

d)

83

27.

Is 15 a prime number or a composite number?

a)

prime

b)

composite

c)

even

d)

odd

28.

What is the smallest composite number?

a)

1

b)

2

c)

4

d)

3

29.

Identify if 35 is a prime number.

a)

No, 35 is not a prime number.

b)

Yes, 35 is a prime number.

c)

35 is an even number.

d)

35 is a composite number.

30.

What is the prime factorization of 36?

a)

2^2 × 3^2

b)

1 × 36

c)

6 × 6

d)

3 × 12

31.

Is 25 a prime number or a composite number?

a)

prime

b)

composite

c)

even

d)

odd

32.

What is the largest prime number less than 20?

a)

19

b)

17

c)

13

d)

11