Worksheet: Prime Factorization of Monomials

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In this worksheet, we will practice factorizing monomials completely using prime factorization.

Q1:

Which of the following is a complete factorization of ?

  • A
  • B
  • C
  • D
  • E

Q2:

Completely factor the following expression: .

  • A
  • B
  • C
  • D
  • E

Q3:

List all factors of 𝑝 𝑞 .

  • A1, 𝑝 , 𝑝 , 𝑝 𝑞 , 𝑞
  • B 𝑝 , 𝑝 , 𝑝 𝑞 , 𝑝 𝑞 , 𝑞
  • C1, 𝑝 , 𝑝 𝑞 , 𝑝 𝑞 , 𝑞
  • D1, 𝑝 , 𝑝 , 𝑝 𝑞 , 𝑝 𝑞 , 𝑞
  • E1, 𝑝 , 𝑝 , 𝑝 𝑞 , 𝑞

Q4:

Write all the factors of 3 𝑥 2 ?

  • A1, 3, 𝑥 2
  • B1, 3 𝑥 , 𝑥
  • C3, 𝑥 , 𝑥 2
  • D1, 3, 𝑥 , 3 𝑥 , 𝑥 2 , 3 𝑥 2
  • E 3 𝑥

Q5:

List all factors of 𝑝 𝑞 2 .

  • A 1 , 𝑝 , 𝑝 , 𝑝 𝑞 , 𝑞 2 2
  • B 𝑝 , 𝑝 , 𝑝 𝑞 , 𝑝 𝑞 , 𝑞 2 2
  • C 1 , 𝑝 , 𝑝 𝑞 , 𝑝 𝑞 , 𝑞 2
  • D 1 , 𝑝 , 𝑝 , 𝑝 𝑞 , 𝑝 𝑞 , 𝑞 2 2
  • E 1 , 𝑝 , 𝑝 , 𝑝 𝑞 , 𝑞 2

Q6:

Which of the following is a complete factorization of ?

  • A
  • B
  • C
  • D
  • E

Q7:

Which of the following is a complete factorization of ?

  • A
  • B
  • C
  • D
  • E

Q8:

Which of the following is a complete factorization of ?

  • A
  • B
  • C
  • D
  • E

Q9:

Completely factor the following expression: .

  • A
  • B
  • C
  • D
  • E

Q10:

Completely factor the following expression: .

  • A
  • B
  • C
  • D
  • E

Q11:

Completely factor the following expression: .

  • A
  • B
  • C
  • D
  • E

Q12:

Completely factor the following expression: .

  • A
  • B
  • C
  • D
  • E

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