Question

Find the prime factorization of 576. Please show steps

Answer 1

576=192*3=64*3*3=8*8*3*3=2*2*2*2*2*2*3*3

Answer 2

\[2^6\cdot3^2\]

Answer 3

one thing i dont get is why you dont divide by 2 first. It says to divide by 2,3 and 5

Answer 4

You can divide by whatever numbers you like as long as you use integers. I believe Zarkon chose 3 b/c multiplication properties show that you can. 2 would have worked just as well tho.

Here are some multiplication properties that you may find helpful:
They are in this format: "A number is a factor of ____ if______"

2 if the last digit is divisible by 2
3 if all the digits added together form a number that is divisible by 3
4 if the last 2 digits form a number that is divisible by 4
5 if the last digit is a 5 or a 0
6 if the number satisfies the rules for both 2 AND 3
9 if all the digits added up form a number that is divisible by 9
10 if the last digit is a 0