Worksheet: Prime Factorization with Exponents

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.

  • A 2 × 7
  • B 2 × 7
  • C 3 × 7
  • D 2 × 7

Q4:

Write the prime factorization of 28 in exponent form.

  • A 2 × 7
  • B 2 × 7
  • C 2 × 7
  • D 3 × 7

Q5:

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

  • A 7 5 = 5 3 , 2 5 = 5
  • B 7 5 = 5 3 , 2 5 = 3
  • C 7 5 = 5 3 , 2 5 = 3
  • D 7 5 = 3 3 , 2 5 = 3
  • E 7 5 = 5 3 , 2 5 = 5

Q6:

Two numbers have a GCF of 211 and an LCM of 13211. If one of those numbers is 13211, what is the other number?

  • A 1 3 2
  • B 1 3 1 1
  • C 1 3 2 1 1
  • D 1 3 2 1 1
  • E 2 1 1

Q7:

Find the prime factorization of 792.

  • A 2 3 1 1
  • B 3 1 1
  • C 2 3 1 1
  • D 2 3 1 1
  • E 2 3 1 1

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