№ 308 Алгебра = № 12.11 Математика
Умова:
Розкладіть натуральні числа на прості множники, використавши в запису степінь:
1) 16;
2) 27;
3) 50;
4) 1000;
5) 99;
6) 656.
Розв'язок:
1) 16 = 2 ⋅ 2 ⋅ 2 ⋅ 2 = 24
2) 27 = 3 ⋅ 3 ⋅ 3 = 33
3) 50 = 2 ⋅ 5 ⋅ 5 = 2 ⋅ 5²
4) 1000 = 2 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 5 ⋅ 5 = 23 ⋅ 53
5) 99 = 3 ⋅ 3 ⋅ 11 = 3² ⋅ 11
6) 656 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 41 = 24 ⋅ 41