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

28

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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 - Intro' Learn online: app.mobius.academy/math/units/factoring_and_primes_intro/
1
Show the prime factorization of this number as exponents
114
a A LaTex expression showing 2 times 3 times 19
b A LaTex expression showing 2 times 3 to the power of 2 times 19
c A LaTex expression showing 2 times 3 times 5 times 19
d A LaTex expression showing 2 times 3 times 13 times 19
2
Show the prime factorization of this number as exponents
78
a A LaTex expression showing 2 times 3 times 13
b A LaTex expression showing 2 times 3 times 11 times 13
c A LaTex expression showing 2 to the power of 2 times 3 times 13
d A LaTex expression showing 2 times 3 to the power of 2 times 13
3
Show the prime factorization of this number as exponents
99
a A LaTex expression showing 2 times 3 to the power of 2 times 11
b A LaTex expression showing 3 to the power of 2 times 5 times 11
c A LaTex expression showing 3 to the power of 2 times 11
d A LaTex expression showing 3 to the power of 2 times 11 times 13
4
Show the prime factorization of this number as exponents
28
a A LaTex expression showing 2 to the power of 2 times 3 times 7
b A LaTex expression showing 2 to the power of 2 times 5 times 7
c A LaTex expression showing 2 to the power of 2 times 7
d A LaTex expression showing 2 to the power of 2 times 7 times 13
5
Show the prime factorization of this number as exponents
105
a A LaTex expression showing 3 times 5 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 times 5 times 7
d A LaTex expression showing 3 times 5 times 7 times 13
6
Show the prime factorization of this number as exponents
125
a A LaTex expression showing 5 to the power of 3
b A LaTex expression showing 5 to the power of 4
c A LaTex expression showing 2 times 5 to the power of 3
7
Show the prime factorization of this number as exponents
68
a A LaTex expression showing 2 to the power of 2 times 13 times 17
b A LaTex expression showing 2 to the power of 2 times 17
c A LaTex expression showing 2 to the power of 2 times 11 times 17