#2^3×5^2×7# equals what number?
You find the number by multiplying all its factors together.
#2^3 × 5^2 ×7#
#color(white)(.)##8 × 25 × 7#
#color(white)(.)# ╲ ╱ #darr#
#color(white)(.)# #200 xx 7#
#color(white)(......)# ╲ ╱
#color(white)(......)# 1400
#color(white)(............)#――――――
Check
Factor #1400# into its prime factors and see if that brings back the same factors that were in the original question.
#color(white)(......)# 1400
#color(white)(......)# ╱ ╲
#color(white)(m)# #14 xx 100#
#color(white)(m)#╱ ╲ ╱ ╲
#color(white)()# #2 xx 7 xx 2 xx 50#
#darr# #darr# #darr# ╱ ╲
#color(white)(.)##2 xx7 xx 2 xx 2 xx 25#
#darr# #darr# #darr# #darr# ╱ ╲
#color(white)(.)##2 xx7 xx 2 xx 2 xx 5 xx 5#
#2^3 xx 5^2 xx 7 #
#Check#