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Prime Factorization as Exponents - 3 Factors (Level 2)

This math topic focuses on the skill of prime factorization using exponents, specifically with numbers that consist of three factors. The problems involve determining the prime factors of given numbers and expressing these factors in exponential form. Multiple choice answers are presented for each problem, which have various combinations of prime factors and their exponents. The worksheet includes questions of escalating difficulty and provides a practical application of understanding prime numbers and their distribution as factors.

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

75

Prime Factorization as Exponents - 3 Factors Worksheet

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Math worksheet on 'Prime Factorization as Exponents - 3 Factors (Level 2)'. 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
42
a A LaTex expression showing 2 times 3 times 7 to the power of 2
b A LaTex expression showing 2 times 3 times 7 times 11
c A LaTex expression showing 2 to the power of 2 times 3 times 7
d A LaTex expression showing 2 times 3 to the power of 2 times 7
e A LaTex expression showing 2 times 3 times 7
f A LaTex expression showing 2 times 3 times 7 times 13
2
Show the prime factorization of this number as exponents
75
a A LaTex expression showing 3 times 5 to the power of 3
b A LaTex expression showing 3 times 5 to the power of 2 times 7
c A LaTex expression showing 2 times 3 times 5 to the power of 2
d A LaTex expression showing 3 times 5 to the power of 2 times 13
e A LaTex expression showing 3 times 5 to the power of 2 times 11
f A LaTex expression showing 3 times 5 to the power of 2
3
Show the prime factorization of this number as exponents
45
a A LaTex expression showing 3 to the power of 2 times 5 times 7
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 3 times 5
d A LaTex expression showing 2 times 3 to the power of 2 times 5
e A LaTex expression showing 3 to the power of 2 times 5
f A LaTex expression showing 3 to the power of 2 times 5 times 13
4
Show the prime factorization of this number as exponents
66
a A LaTex expression showing 2 times 3 times 11
b A LaTex expression showing 2 times 3 to the power of 2 times 11
c A LaTex expression showing 2 times 3 times 5 times 11
d A LaTex expression showing 2 times 3 times 11 to the power of 2
e A LaTex expression showing 2 times 3 times 11 times 13
f A LaTex expression showing 2 times 3 times 7 times 11
5
Show the prime factorization of this number as exponents
18
a A LaTex expression showing 2 times 3 to the power of 2 times 7
b A LaTex expression showing 2 times 3 to the power of 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 times 3 to the power of 2 times 11
e A LaTex expression showing 2 times 3 to the power of 2 times 13
f A LaTex expression showing 2 times 3 to the power of 2