Question

find the smallest number by which 33075 must be divided so that it becomes a perfect square

Answer 1

33075=3×11025

=3×3×3675

=3×3×3×1225

=3×3×3×5×245

=3×3×3×5×5×49

=3×3×3×5×5×7×7

so the number should be divided by 3 to get perfect square