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Prime Factorization as Exponents - 5 Factors (Level 3)

This math topic focuses on practicing prime factorization using exponents. Each problem presents a number for which students must determine the prime factorization expressed as exponents. The problems include multiple choice answers depicted through LaTeX images, showing different potential factorizations. This allows learners to develop skills in breaking down numbers into their prime factors and expressing those factors with exponents — essential concepts in factorization and understanding primes. The worksheet includes several examples, such as finding the prime factors of 120, 48, 112, and 108.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Prime Factorization as Exponents - 5 Factors

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Show the prime factorization of this number as exponents

48

Prime Factorization as Exponents - 5 Factors Worksheet

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Math worksheet on 'Prime Factorization as Exponents - 5 Factors (Level 3)'. Part of a broader unit on 'Factoring and Primes - Advanced' Learn online: app.mobius.academy/math/units/factoring_and_primes_advanced/
1
Show the prime factorization of this number as exponents
112
a A LaTex expression showing 2 to the power of 5 times 7
b A LaTex expression showing 2 to the power of 4 times 7 times 11
c A LaTex expression showing 2 to the power of 3 times 7
d A LaTex expression showing 2 to the power of 4 times 7
e A LaTex expression showing 2 to the power of 2 times 4 times 7
f A LaTex expression showing 2 to the power of 4 times 3 times 7
2
Show the prime factorization of this number as exponents
108
a A LaTex expression showing 2 to the power of 2 times 3 to the power of 3 times 7
b A LaTex expression showing 2 to the power of 2 times 3 times 9
c A LaTex expression showing 2 to the power of 3 times 3 to the power of 3
d A LaTex expression showing 2 times 6 times 3 to the power of 2
e A LaTex expression showing 2 to the power of 2 times 3 to the power of 3
f A LaTex expression showing 2 times 3 to the power of 3
3
Show the prime factorization of this number as exponents
120
a A LaTex expression showing 2 to the power of 3 times 3 times 5
b A LaTex expression showing 2 to the power of 3 times 3 times 5 to the power of 2
c A LaTex expression showing 2 to the power of 3 times 15
d A LaTex expression showing 2 times 4 times 3 times 5
e A LaTex expression showing 2 to the power of 4 times 3 times 5
f A LaTex expression showing 2 to the power of 3 times 3 times 5 times 11
4
Show the prime factorization of this number as exponents
48
a A LaTex expression showing 2 to the power of 4 times 3 to the power of 2
b A LaTex expression showing 2 to the power of 3 times 3
c A LaTex expression showing 2 to the power of 3 times 6
d A LaTex expression showing 2 to the power of 4 times 3
e A LaTex expression showing 2 to the power of 2 times 4 times 3
f A LaTex expression showing 2 to the power of 5 times 3