i always start with 2
obvi that will not work here
then try 3
that will work
3*3227
now try 2 again, nope
3? nope
4? nope
5? nope
6? nope
7? yes
3*7*461
now on to 2 again, nope
3? no
4? no
5? no
6? no
7? no
maybe that is it then
is 461 a prime number
seems so
final answer 3*7*461