Разложите на простые множители числа:
а) 216; 162; 144; 512; 675; 1024;
б) 60; 180; 220; 350; 400; 1200; 8000;
в) 11; 1001; 1225; 21 780; 45 630.
216 = 2 * 108 = 2 * 2 * 54 = 2 * 2 * 2 * 27 = 2 * 2 * 2 * 3 * 9 = 2 * 2 * 2 * 3 * 3 * 3;
162 = 2 * 81 = 2 * 3 * 27 = 2 * 3 * 3 * 9 = 2 * 3 * 3 * 3 * 3;
144 = 2 * 72 = 2 * 2 * 36 = 2 * 2 * 2 * 18 = 2 * 2 * 2 * 2 * 9 = 2 * 2 * 2 * 2 * 3 * 3;
512 = 2 * 256 = 2 * 2 * 128 = 2 * 2 * 2 * 64 = 2 * 2 * 2 * 2 * 32 = 2 * 2 * 2 * 2 * 2 * 16 = 2 * 2 * 2 * 2 * 2 * 2 * 8 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 4 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2;
675 = 5 * 135 = 5 * 5 * 27 = 5 * 5 * 3 * 9 = 5 * 5 * 3 * 3 * 3;
1024 = 2 * 512 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2.
60 = 2 * 30 = 2 * 2 * 15 = 2 * 2 * 3 * 5;
180 = 2 * 90 = 2 * 2 * 45 = 2 * 2 * 3 * 15 = 2 * 2 * 3 * 3 * 5;
220 = 2 * 110 = 2 * 2 * 55 = 2 * 2 * 5 * 11;
350 = 2 * 175 = 2 * 5 * 35 = 2 * 5 * 5 • 7;
400 = 2 * 200 = 2 * 2 * 100 = 2 * 2 * 2 * 50 = 2 * 2 * 2 * 2 * 25 = 2 * 2 * 2 * 2 * 5 * 5;
1200 = 3 * 400 = 2 * 2 * 2 * 2 * 3 * 5 * 5;
8000 = 2 * 4000 = 2 * 2 * 5 * 400 = 2 * 2 * 2 * 2 * 2 * 2 * 5 * 5 * 5.
11 = 1 * 11;
1001 = 7 * 143 = 7 * 11 * 13;
1225 = 5 * 245 = 5 * 5 * 49 = 5 * 5 * 7 * 7;
21 780 = 2 * 10890 = 2 * 2 * 5445 = 2 * 2 * 5 * 1089 = 2 * 2 * 3 * 5 * 363 = 2 * 2 * 3 * 3 * 5 * 121 = 2 * 2 * 3 * 3 * 5 * 11 * 11;
45630 = 2 * 22815 = 2 * 3 * 7605 = 2 * 3 * 3 * 2535 = 2 * 3 * 3 * 3 * 845 = 2 * 3 * 3 * 3 * 5 * 169 = 2 * 3 * 3 * 3 * 5 * 13 * 13.
Посмотреть калькулятор Дроби