What factors of 24 are prime numbers?

1 Answer
Apr 20, 2016

#2# and #3#

Explanation:

The factor tree of #24# can be drawn like this:

#color(white)(000)24#
#color(white)(000)"/ \"#
#color(white)(00)2color(white)(00)12#
#color(white)(00000)"/\"#
#color(white)(0000)2color(white)(00)6#
#color(white)(000000)"/"color(white)(0)"\"#
#color(white)(00000)2color(white)(000)3#

So the prime factorisation of #24# is:

#24 = 2xx2xx2xx3#

So the only prime factors are #2# and #3#.