Worksheet: Understanding the Difference between Prime and Composite Numbers

In this worksheet, you will be able to practice recognizing the difference between prime and composite numbers.

Q1:

What is a prime number?

Aa number with exactly three factors, one factor is repeated and the other two are 1 and itself
Ba number with exactly two factors, 0 and itself
Ca number with exactly two factors, 1 and itself
Da number that has one factor repeated
Ea number with more than two factors

Q2:

What is a composite number?

Aa number with exactly two factors, 0 and 1
Ba number with exactly two factors, 0 and itself
Ca number with more than two factors
Da number that has one factor repeated
Ea number with exactly two factors, 1 and itself

Q3:

Is 21 a prime or a composite number?

Aa composite number
Ba prime number

Q4:

Is 23 a prime or a composite number?

Aa prime number
Ba composite number

Q5:

All prime numbers are odd except .

Q6:

Determine whether the number 226 is prime, composite, or neither.

Acomposite
Bneither prime nor composite
Cprime

Q7:

Caribou calves weigh about 13 pounds at birth. Is the number 13 a prime or a composite number?

Aprime
Bcomposite

Q8:

A teacher asked her class to color all the prime numbers between 1 and 10. Here are some of their answers. Which one is correct?

Q9:

A wildlife biologist once observed a caribou traveling at 44 miles per hour. Determine whether the given speed is a prime or composite number.

Acomposite
Bprime

Q10:

Michael is learning about prime numbers. He knows that 5 is a prime number, because the only factors of 5 are 1 and 5.

Is 9 a prime number? Why?

ANo, because 3 is a factor.
BYes, because its only factors are 1 and 9.

Q11:

Wayne says that 1 is a prime number because it only has 1 factor pair.

Is he correct? Why?

ANo, prime numbers have more than two factors, 1 only has one factor.
BYes, because all odd numbers are prime.
CNo, prime numbers have two factors, 1 only has one factor.
DNo, because all odd numbers are prime.
EYes, 1 only has one factor.

Q12:

Madison says that every even number is composite because 2 is a factor.

Is she correct? Why?

ANo, because 2 is even and composite.
BYes, because 2 is even and composite.
CNo, because 2 is even and prime.
DYes, because all odd numbers are prime.
EYes, because 2 is an even number.

Q13:

What is the greatest prime number between 15 and 24?

Q14:

Isabella bought these four raffle tickets, and one of them was the winning ticket.

The winning number is a prime number between 10 and 20. Which of her tickets won the prize?

Aticket number 18
Bticket number 23
Cticket number 17
Dticket number 34
Eticket number 15

Q15:

The table shows all the factors of some numbers.

Number	101	133	157	145
Factor of	1, 101	1, 7, 19, 133	1, 157	1, 5, 29, 145

Which of the numbers are prime?

A133 and 157
B157 and 145
C101 and 157
D101 and 133
E133 and 145

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