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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?

  • A a number that has one factor repeated
  • B a number with more than two factors
  • C a number with exactly two factors, 0 and itself
  • D a number with exactly two factors, 1 and itself
  • Ea number with exactly three factors, one factor is repeated and the other two are 1 and itself

Q2:

What is a composite number?

  • A a number that has one factor repeated
  • B a number with exactly two factors, 1 and itself
  • C a number with exactly two factors, 0 and itself
  • D a number with more than two factors
  • Ea number with exactly two factors, 0 and 1

Q3:

Is 21 a prime or a composite number?

  • A a composite number
  • B a prime number

Q4:

Is 23 a prime or a composite number?

  • A a prime number
  • B a composite number

Q5:

All prime numbers are odd except .

Q6:

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

  • Aneither prime nor composite
  • Bprime
  • Ccomposite

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?

  • A
  • B
  • C
  • D
  • E

Q9:

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?

  • A No, because 3 is a factor.
  • B Yes, because its only factors are 1 and 9.

Q10:

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

Is he correct? Why?

  • A No, because all odd numbers are prime.
  • B Yes, 1 only has one factor.
  • C Yes, because all odd numbers are prime.
  • D No, prime numbers have two factors, 1 only has one factor.
  • ENo, prime numbers have more than two factors, 1 only has one factor.

Q11:

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

Is she correct? Why?

  • A Yes, because all odd numbers are prime.
  • B Yes, because 2 is an even number.
  • C Yes, because 2 is even and composite.
  • D No, because 2 is even and prime.
  • E No, because 2 is even and composite.

Q12:

What is the greatest prime number between 15 and 24?

Q13:

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?

  • A ticket number 34
  • B ticket number 15
  • C ticket number 23
  • D ticket number 17
  • Eticket number 18

Q14:

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?

  • A 101 and 133
  • B 133 and 145
  • C 157 and 145
  • D 101 and 157
  • E133 and 157