Respuesta :

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.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Your Prime Factorization for the given number is}\downarrow[/tex]

[tex]\mathsf{2\times2\times2\times2\times2\times2\times3\times3}[/tex]

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

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

[tex]\large\text{So, your \bf exponential formation}\large\text{ should look like} \downarrow[/tex]

[tex]\mathsf{2^6\times3^2}[/tex]

[tex]\large\text{The CSV Formation}\downarrow[/tex]

[tex]\mathsf{2, 2, 2, 2, 2, 2, 3, \& \ 3}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\bf 2^6\times3^2}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]