Lesson Worksheet: Prime Factorization with Exponents Mathematics • 6th Grade

In this worksheet, we will practice using different strategies to find prime factorization with exponents.

Q1:

Are 2,3 the prime factors of 18 without repetition?

  • Ano
  • Byes

Q2:

How many prime factors does 76 have without repetition?

Q3:

Write the prime factorization of 392 in exponent form.

  • A2×7
  • B2×7
  • C3×7
  • D2×7

Q4:

Write the prime factorization of 28 in exponent form.

  • A2×7
  • B2×7
  • C2×7
  • D3×7

Q5:

A football team’s record is 75 wins and 25 losses. Express these numbers as products of their prime factors.

  • A75=5⋅3, 25=5
  • B75=5⋅3, 25=3
  • C75=5⋅3, 25=3
  • D75=3⋅3, 25=3
  • E75=5⋅3, 25=5

Q6:

Two numbers have a GCF of 2⋅11 and an LCM of 13⋅2⋅11. If one of those numbers is 13⋅2⋅11, what is the other number?

  • A13⋅2
  • B13⋅11
  • C13⋅2⋅11
  • D13⋅2⋅11
  • E2⋅11

Q7:

Find the prime factorization of 792.

  • A2⋅3⋅11
  • B3⋅11
  • C2⋅3⋅11
  • D2⋅3⋅11
  • E2⋅3⋅11

Q8:

The following is a number written as a product of its prime factors: 2×3×11. What is that number?

Q9:

Hannah and Mason were asked to write 180 as a product of its prime factors in exponent form.

Who is correct?

  • AMason
  • BHannah

Q10:

What are the prime factors of 275 without repetition?

  • A5 and 13
  • B5 and 11
  • C7 and 11
  • D13 and 11
  • E5 and 7

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