How do you write the prime factorization of 360?

Question

I'm doing my summer math, and I need help with this question.

So, if someone could please show me the steps and stuff. I'd love to know how

Write the prime factorization of 360 in exponential form.

Answer 1

36(10)

6(6)(10)

2(3)(2)(3)(2)(5)

2^3 ( 3^2) ( 5)

Answer 2

360 = 2 x 180

= 2 x 2 x 90

= 2 x 2 x 2 x 45

= 2 x 2 x 2 x 3 x 15

= 2 x 2 x 2 x 3 x 3 x 5

= 2^3 x 3^2 x 5

Basically you systematically divide out all of the prime factors of 360 until you have none left, group them together and write in exponential notation.

Answer 3

360 = 36 x 10 = 6 x 6 x 10 = 2 x 3 x 2 x 3 x 2 x 5 = 2^3 x 3^2 x 5