Question

Calculate the numbers of factor of 1200 that are three digit for e.g. 600,300,150,,400....

Answer 1

Let a be the three digit number then
$a\times x_1+r=13914$ so
$(a\times x_2+r)-a\times x_1+r)=13914-12714$ implies $a\times (x_2-x_1)=1200$ therefore a should be a three digit number factor of $1200(2^4\times 3\times 5^2)$