Разложите на простые множители числа:
а) 54; 65; 99; 162; 10 000;
б) 1500; 7000; 3240; 4608.
54 = 2 * 27 = 2 * 3 * 9 = 2 * 3 * 3 * 3;
65 = 5 * 13;
99 = 3 * 33 = 3 * 3 * 11;
162 = 2 * 81 = 2 * 3 * 27 = 2 * 3 * 3 * 9 = 2 * 3 * 3 * 3 * 3;
10000 = 2 * 5000 = 2 * 2 * 2500 = 2 * 2 * 2 * 1250 = 2 * 2 * 2 * 2 * 625 = 2 * 2 * 2 * 2 * 5 * 125 = 2 * 2 * 2 * 2 * 5 * 5 * 25 = 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5.
1500 = 2 * 750 = 2 * 2 * 375 = 2 * 2 * 3 * 125 = 2 * 2 * 3 * 5 * 25 = 2 * 2 * 3 * 5 * 5 * 5;
7000 = 2 * 3500 = 2 * 2 * 1750 = 2 * 2 * 2 * 875 = 2 * 2 * 2 * 5 * 175 = 2 * 2 * 2 * 5 * 5 * 35 = 2 * 2 * 2 * 5 * 5 * 5 * 7;
3240 = 2 * 1620 = 2 * 2 * 810 = 2 * 2 * 2 * 405 = 2 * 2 * 2 * 3 * 135 = 22 * 2 * 3 * 3 * 45 = 2 * 2 * 2 * 3 * 3 * 315 = 2 * 2 * 2 * 3 * 3 * 3 * 3 * 5;
4608 = 2 * 2304 = 2 * 2 * 1152 = 2 * 2 * 2 * 576 = 2 * 2 * 2 * 2 * 288 = 2 * 2 * 2 * 2 * 2 * 144 = 2 * 2 * 2 * 2 * 2 * 2 * 72 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 36 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 18 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 29 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3.