Question

the product of 3 consecutive odd natural numbers is 531117. what is the sum of the three numbers?

Answer 1

$$\begin{gathered} \mathrm{Factors}\mathrm{of}531117=3^4\times 79\times 83 \\ 531117=81\times 79\times 83 \\ 531117=79\times 81\times 83 \\ \mathrm{So},\mathrm{three}\mathrm{consecutive}\mathrm{odd}\mathrm{natural}\mathrm{numbers}\mathrm{are} \\ 79,81\mathrm{and}83. \\ \mathrm{Sum}=79+81+83 \\ =243\mathrm{ANS}... \end{gathered}$$