How do you write the prime factorization of 87?

1 Answer
Nov 26, 2016

#87= color(green)(3xx29)#

Explanation:

#89# is not divisible by#2#, so we need to try the next prime: #3#

#89div3 = 29#

#29# is not divisible by #3#, so we need to try the next prime: #5#

#29# is not divisible by #5#, so we need to try the next prime: #7#

...but #7^2# is greater than #29#, so no other factors are possible.

The only prime factors of #89# are #3# and #29#