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.

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Prime Factorization as Exponents - 3 Factors Worksheet

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Prime Factorization as Exponents - 3 Factors
1
Show the prime factorization of this number as exponents
105
a A LaTex expression showing 3 times 5 times 7 times 13
b A LaTex expression showing 3 times 5 times 7
c A LaTex expression showing 3 to the power of 2 times 5 times 7
d A LaTex expression showing 3 times 5 times 7 to the power of 2
2
Show the prime factorization of this number as exponents
63
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 7 times 11
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
3
Show the prime factorization of this number as exponents
76
a A LaTex expression showing 2 to the power of 2 times 19
b A LaTex expression showing 2 to the power of 2 times 7 times 19
c A LaTex expression showing 2 to the power of 2 times 5 times 19
d A LaTex expression showing 2 to the power of 2 times 3 times 19
e A LaTex expression showing 2 to the power of 2 times 11 times 19
4
Show the prime factorization of this number as exponents
52
a A LaTex expression showing 2 to the power of 2 times 5 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 11 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 3 times 13
5
Show the prime factorization of this number as exponents
117
a A LaTex expression showing 3 to the power of 2 times 5 times 13
b A LaTex expression showing 3 to the power of 2 times 13
c A LaTex expression showing 3 to the power of 2 times 11 times 13
d A LaTex expression showing 3 to the power of 3 times 13
6
Show the prime factorization of this number as exponents
102
a A LaTex expression showing 2 to the power of 2 times 3 times 17
b A LaTex expression showing 2 times 3 times 5 times 17
c A LaTex expression showing 2 times 3 times 17
d A LaTex expression showing 2 times 3 to the power of 2 times 17
7
Show the prime factorization of this number as exponents
125
a A LaTex expression showing 5 to the power of 4
b A LaTex expression showing 2 times 5 to the power of 3
c A LaTex expression showing 5 to the power of 3
8
Show the prime factorization of this number as exponents
98
a A LaTex expression showing 2 times 7 to the power of 2
b A LaTex expression showing 2 times 7 to the power of 3
c A LaTex expression showing 2 times 7 to the power of 2 times 13
d A LaTex expression showing 2 to the power of 2 times 7 to the power of 2