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Prime Factorization as Exponents - 3 Factors (Level 1)

This math topic focuses on practicing the skill of expressing numbers in their prime factorization form using exponents. It covers a variety of problems where students are required to break down different given numbers (e.g., 20, 50, 30, 12, 28, and 8) into their prime factors and express each prime factor with appropriate exponents. Each question has multiple-choice answers, providing different expressions for the factorization, only one of which correctly represents the prime factorization of the number using exponents. This is part of an introductory 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

50

Prime Factorization as Exponents - 3 Factors Worksheet

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Math worksheet on 'Prime Factorization as Exponents - 3 Factors (Level 1)'. Part of a broader unit on 'Factoring and Greatest Common Factor - Intro' Learn online: app.mobius.academy/math/units/factoring_and_greatest_common_factor_intro/
1
Show the prime factorization of this number as exponents
28
a A LaTex expression showing 2 to the power of 2 times 7 times 13
b A LaTex expression showing 2 to the power of 2 times 7 times 11
c A LaTex expression showing 2 to the power of 2 times 7 to the power of 2
d A LaTex expression showing 2 to the power of 2 times 7
e A LaTex expression showing 2 to the power of 3 times 7
f A LaTex expression showing 2 to the power of 2 times 5 times 7
2
Show the prime factorization of this number as exponents
30
a A LaTex expression showing 2 times 3 times 5
b A LaTex expression showing 2 times 3 to the power of 2 times 5
c A LaTex expression showing 2 times 3 times 5 times 7
d A LaTex expression showing 2 times 3 times 5 times 11
e A LaTex expression showing 2 times 3 times 5 times 13
f A LaTex expression showing 2 to the power of 2 times 3 times 5
3
Show the prime factorization of this number as exponents
8
a A LaTex expression showing 2 to the power of 3
b A LaTex expression showing 2 to the power of 3 times 7
c A LaTex expression showing 2 to the power of 3 times 13
d A LaTex expression showing 2 to the power of 3 times 11
e A LaTex expression showing 2 to the power of 3 times 5
f A LaTex expression showing 2 to the power of 3 times 3
4
Show the prime factorization of this number as exponents
12
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 3 times 3
c A LaTex expression showing 2 to the power of 2 times 3 to the power of 2
d A LaTex expression showing 2 to the power of 2 times 3 times 7
e A LaTex expression showing 2 to the power of 2 times 3 times 5
f A LaTex expression showing 2 to the power of 2 times 3
5
Show the prime factorization of this number as exponents
20
a A LaTex expression showing 2 to the power of 2 times 3 times 5
b A LaTex expression showing 2 to the power of 3 times 5
c A LaTex expression showing 2 to the power of 2 times 5 times 7
d A LaTex expression showing 2 to the power of 2 times 5
e A LaTex expression showing 2 to the power of 2 times 5 times 11
f A LaTex expression showing 2 to the power of 2 times 5 times 13
6
Show the prime factorization of this number as exponents
50
a A LaTex expression showing 2 times 5 to the power of 2 times 13
b A LaTex expression showing 2 times 5 to the power of 2 times 11
c A LaTex expression showing 2 times 5 to the power of 2
d A LaTex expression showing 2 to the power of 2 times 5 to the power of 2
e A LaTex expression showing 2 times 3 times 5 to the power of 2
f A LaTex expression showing 2 times 5 to the power of 3