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Prime Factorization as Exponents - 4 Factors (Level 3)

This math topic focuses on the skill of prime factorization expressed with exponents. It features seven problems, each presenting a specific number for which students must determine and show the prime factorization, using powers where appropriate. The purpose is to strengthen understanding and application of factorization concepts related to prime numbers within the broader unit of factoring and primes. Each problem offers multiple possible answers in a visual format, illustrating different prime factor combinations for given numbers. The students are required to identify the correct prime factorization from the choices provided.

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

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Prime Factorization as Exponents - 4 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

126

Prime Factorization as Exponents - 4 Factors Worksheet

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Math worksheet on 'Prime Factorization as Exponents - 4 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
56
a A LaTex expression showing 2 to the power of 3 times 7 to the power of 2
b A LaTex expression showing 2 to the power of 3 times 3 times 7
c A LaTex expression showing 2 to the power of 3
d A LaTex expression showing 2 to the power of 3 times 7
e A LaTex expression showing 2 to the power of 2 times 14
f A LaTex expression showing 2 to the power of 4 times 7
2
Show the prime factorization of this number as exponents
36
a A LaTex expression showing 2 to the power of 2 times 3 to the power of 2 times 11
b A LaTex expression showing 2 to the power of 2 times 3 to the power of 2 times 5
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 to the power of 2 times 7
e A LaTex expression showing 2 to the power of 2 times 9
f A LaTex expression showing 2 to the power of 3 times 3 to the power of 2
3
Show the prime factorization of this number as exponents
100
a A LaTex expression showing 2 to the power of 2 times 5 to the power of 2
b A LaTex expression showing 2 times 5 to the power of 2
c A LaTex expression showing 2 times 10 times 5
d A LaTex expression showing 2 to the power of 2 times 25
e A LaTex expression showing 2 to the power of 2 times 5 to the power of 3
f A LaTex expression showing 2 to the power of 2 times 5 to the power of 2 times 13
4
Show the prime factorization of this number as exponents
90
a A LaTex expression showing 2 times 3 to the power of 2 times 5
b A LaTex expression showing 2 times 3 times 5
c A LaTex expression showing 2 times 3 to the power of 2
d A LaTex expression showing 2 to the power of 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 2 times 3 to the power of 2 times 5 times 7
5
Show the prime factorization of this number as exponents
126
a A LaTex expression showing 2 times 3 times 21
b A LaTex expression showing 2 times 3 to the power of 2 times 5 times 7
c A LaTex expression showing 2 times 3 to the power of 2 times 7 times 11
d A LaTex expression showing 2 times 3 to the power of 2
e A LaTex expression showing 2 to the power of 2 times 3 to the power of 2 times 7
f A LaTex expression showing 2 times 3 to the power of 2 times 7
6
Show the prime factorization of this number as exponents
88
a A LaTex expression showing 2 to the power of 2 times 22
b A LaTex expression showing 2 to the power of 3 times 11 to the power of 2
c A LaTex expression showing 2 to the power of 3 times 11
d A LaTex expression showing 2 to the power of 4 times 11
e A LaTex expression showing 2 to the power of 3 times 7 times 11
f A LaTex expression showing 2 to the power of 2 times 11
7
Show the prime factorization of this number as exponents
40
a A LaTex expression showing 2 to the power of 2 times 10
b A LaTex expression showing 2 to the power of 3 times 5
c A LaTex expression showing 2 to the power of 4 times 5
d A LaTex expression showing 2 to the power of 3 times 5 to the power of 2
e A LaTex expression showing 2 to the power of 3 times 5 times 11
f A LaTex expression showing 2 to the power of 3 times 5 times 7