Answer
They are the same. There is only one prime factorization for a given number.
$120=2^3\times3\times5$
Work Step by Step
$\ \ \ \ \ \ \ \ \ \ \ \ \ 120$
$\ \ \ \ \ \ \ \ \ \swarrow\ \ \searrow$
$\ \ \ \ \ \ \ \ 12\ \ \ \ \ \ \ \ \ 10$
$\ \ \ \ \swarrow\searrow\ \ \ \swarrow\searrow$
$\ \ \ 2\ \ \ \ \ \ \ 6\ \ \ \ 2\ \ \ \ \ \ \ 5$
$\ \ \ \ \ \ \ \ \swarrow\searrow$
$\ \ \ \ \ \ \ \ 2\ \ \ \ \ \ 3$
$\ \ \ \ \ \ \ \ \ \ \ \ \ 120$
$\ \ \ \ \ \ \ \ \ \swarrow\ \ \searrow$
$\ \ \ \ \ \ \ \ 24\ \ \ \ \ \ \ \ \ \ 5$
$\ \ \ \ \swarrow\searrow$
$\ \ \ 2\ \ \ \ \ \ \ 12$
$\ \ \ \ \ \ \ \ \swarrow\searrow$
$\ \ \ \ \ \ \ \ 2\ \ \ \ \ \ 6$
$\ \ \ \ \ \ \ \ \ \ \ \ \swarrow\searrow$
$\ \ \ \ \ \ \ \ \ \ \ \ 3\ \ \ \ \ \ 2$