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Write the prime factorization of 576 using exponents.

User Jofftiquez
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2 Answers

12 votes
12 votes
The exponents in the prime factorization are 6 and 2. Adding one to each and multiplying we get (6 + 1)(2 + 1) = 7 x 3 = 21. Therefore 576 has exactly 21 factors.
User Atticus
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8 votes
8 votes


\huge\text{Hey there!}


\large\text{Your Prime Factorization for the given number is}\downarrow


\mathsf{2*2*2*2*2*2*3*3}


\large\text{The number of 2s you have in the factorization tree is about 6}


\large\text{The number of 3s you have in the factorization tree is about 2}


\large\text{So, your \bf exponential formation}\large\text{ should look like} \downarrow


\mathsf{2^6*3^2}


\large\text{The CSV Formation}\downarrow


\mathsf{2, 2, 2, 2, 2, 2, 3, \& \ 3}


\boxed{\boxed{\large\text{Answer: }\bf 2^6*3^2}}\huge\checkmark


\text{Good luck on your assignment and enjoy your day!}

~
\frak{Amphitrite1040:)}

User Demonick
by
2.7k points
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