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How do you write 720 as a product of its prime factors?
##720 = 2^4 xx3^2 xx5##
You can do the “ladder method”of continuous short division, making sure that you only divide by .
I prefer to just use 2 factors to start with and then split the factors again and again until they are all primes.
This method is quick, easy and effective, but it requires a solid knowledge of the times tables…….
##720 = color(red)(72)xxcolor(blue)(10)##
= ##color(red)(8xx9) xx color(blue)(2xx5)##
= ##color(red)(2xx4 xx3xx3)xxcolor(blue)(2xx5)##
=##2xx2xx2xx3xx3xx2xx5##
=##2^4 xx3^2 xx5##
You can start with any pair and you will end up with the same result.
##720 =80xx9 = 36xx20 = 12xx60 =8xx90 = 120xx6## etc
##color(magenta)(“Or if you prefer the visual approach use a factor tree:”)##