Răspuns:
117045000 = 2³·3²·51²·5⁴
Explicație pas cu pas:
(6+12+18.....+300)³: (3+6+9.....+150) =
= [6·(1+2+3+....+50)³] : [3·(1+2+3+...+50)] =
= (6³:3) ·(1+2+3+....+50)³⁻¹ =
= (6²·2)·(1+2+3+...+50)² =
= 36·2·[(1+50)·50:2]² =
= 72·[51·25]² = 72·1275² = 72·1625625 =
= 117045000 = 2³·3²·51²·5⁴
