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Prime Factorization as Exponents - 3 Factors (Level 3)

This math topic focuses on practicing prime factorization using exponents. Students are given numbers and need to express their prime factorizations as products of prime numbers raised to appropriate powers, incorporating three factors. The topic is designed to help students understand and apply the concept of prime factorization in a structured way, improving their ability to handle prime numbers and exponents as part of a broader unit on factoring and primes.

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

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Prime Factorization as Exponents - 3 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

117

Prime Factorization as Exponents - 3 Factors Worksheet

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Math worksheet on 'Prime Factorization as Exponents - 3 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
102
a A LaTex expression showing 2 times 3 to the power of 2 times 17
b A LaTex expression showing 2 times 3 times 13 times 17
c A LaTex expression showing 2 times 3 times 11 times 17
d A LaTex expression showing 2 times 3 times 7 times 17
e A LaTex expression showing 2 to the power of 2 times 3 times 17
f A LaTex expression showing 2 times 3 times 17
2
Show the prime factorization of this number as exponents
125
a A LaTex expression showing 2 times 5 to the power of 3
b A LaTex expression showing 5 to the power of 3
c A LaTex expression showing 5 to the power of 4
d A LaTex expression showing 3 times 5 to the power of 3
e A LaTex expression showing 5 to the power of 3 times 11
f A LaTex expression showing 5 to the power of 3 times 13
3
Show the prime factorization of this number as exponents
63
a A LaTex expression showing 3 to the power of 2 times 7 to the power of 2
b A LaTex expression showing 3 to the power of 2 times 5 times 7
c A LaTex expression showing 3 to the power of 3 times 7
d A LaTex expression showing 3 to the power of 2 times 7 times 11
e A LaTex expression showing 3 to the power of 2 times 7 times 13
f A LaTex expression showing 3 to the power of 2 times 7
4
Show the prime factorization of this number as exponents
68
a A LaTex expression showing 2 to the power of 2 times 7 times 17
b A LaTex expression showing 2 to the power of 2 times 5 times 17
c A LaTex expression showing 2 to the power of 3 times 17
d A LaTex expression showing 2 to the power of 2 times 17
e A LaTex expression showing 2 to the power of 2 times 13 times 17
f A LaTex expression showing 2 to the power of 2 times 11 times 17
5
Show the prime factorization of this number as exponents
117
a A LaTex expression showing 3 to the power of 2 times 13
b A LaTex expression showing 3 to the power of 2 times 11 times 13
c A LaTex expression showing 3 to the power of 3 times 13
d A LaTex expression showing 2 times 3 to the power of 2 times 13
e A LaTex expression showing 3 to the power of 2 times 13 to the power of 2
f A LaTex expression showing 3 to the power of 2 times 5 times 13
6
Show the prime factorization of this number as exponents
70
a A LaTex expression showing 2 times 3 times 5 times 7
b A LaTex expression showing 2 times 5 times 7
c A LaTex expression showing 2 times 5 times 7 to the power of 2
d A LaTex expression showing 2 times 5 times 7 times 11
e A LaTex expression showing 2 times 5 to the power of 2 times 7
f A LaTex expression showing 2 times 5 times 7 times 13
7
Show the prime factorization of this number as exponents
52
a A LaTex expression showing 2 to the power of 2 times 3 times 13
b A LaTex expression showing 2 to the power of 2 times 13
c A LaTex expression showing 2 to the power of 2 times 5 times 13
d A LaTex expression showing 2 to the power of 2 times 13 to the power of 2
e A LaTex expression showing 2 to the power of 2 times 11 times 13
f A LaTex expression showing 2 to the power of 3 times 13