Find the prime factorization of the number. Write any repeated factors using exponents.
-275
A) $5 ^ { 3 } \cdot 11$
B)5 ·11
C) $5 ^ { 2 } \cdot 11$
D) $5 \cdot 11 ^ { 2 }$

Question

Quizplus · Accepted Answer

The prime factorization of 275 can be found by dividing it by its smallest prime factor, which is 5. 275 divided by 5 gives 55. Then, dividing 55 by 5 gives 11, which is a prime number. Therefore, the prime factorization of 275 is $5^2 \cdot 11$.

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Find the Prime Factorization of the Number $5 ^ { 3 } \cdot 11$