Correct. The missing factor is the GCF of the three terms.

$\displaystyle{5}{{m}}^{{3}}-{60}{{m}}^{{2}}+{100}{m}={5}{m}{\left({{m}}^{{2}}-{12}{m}+{20}\right)}={5}{m}{\left({m}-{2}\right)}{\left({m}-{10}\right)}\usepackage{cmbright}\Huge\$