Question

Write the prime factorization of 576 using exponents.

Answer 1

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.

Answer 2

$\huge\text{Hey there!}$

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

$\mathsf{2\times2\times2\times2\times2\times2\times3\times3}$

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

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

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

$\mathsf{2^6\times3^2}$

$\large\text{The CSV Formation}\downarrow$

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

$\boxed{\boxed{\large\text{Answer: }\bf 2^6\times3^2}}\huge\checkmark$

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

~$\frak{Amphitrite1040:)}$