How do you write the prime factorization of #-120r^2st^3#?

1 Answer
Mar 5, 2018

# -1 xx 2^3 xx 3 xx 5 xx s xx t^3#

Explanation:

A minus requires a -1 factor

# 120 = 2 xx 60#
# 2 xx 60 = 2 xx 2 xx 30 #
# 2 xx 2 xx 30 = 2 xx 2 xx 2 xx 15#
# 2 xx 2 xx 2 xx 15 = 2 xx 2 xx 2 xx 3 xx 5 #

# st^3 = s xx t xx t xx t # or # st^3#

so

# -1 xx 2 xx 2 xx2 xx 3 xx 5 xx s xx t xx t xx t # =

# -1 xx 2^3 xx 3 xx 5 xx s xx t^3#