Question

descompuneti in produs de puteri prime : 108,147,196,225,255,1000,2220,17500,8400,42400?

Answer 1

Răspuns:

108:2 = 54:2 = 27:3 = 9:3= 3:3= 1 =) 108 = 2^2 x 3^3

147:3 = 49:7 = 7:7= 1 =) 147 = 3^1 x 7^2

196:2 = 98:2= 49:7 = 7:7= 1 =) 196 = 2^2 x 7^2

225:5 = 45:5 = 9:3= 3:3 = 1 =) 225 = 5^2 x 3^2

255:5 = 51:3= 17:17= 1 =) 255 = 5 x 3 x 17

1000 = 1000:2 x 5 = 100:2 x 5 =10:2 x 5 = 1 =) 1000 = 2^3 x 5^3

2220:2x5 =222:2 = 111:3 = 37 : 37 = 1 =) 2220 = 2^2 x 5 x 3 x 37

17500 = 17500:2x5 = 1700:2x5= 170:2x5= 17:17 = 1 =) 17500 = 2^3 x 5^3 x 17

8400 = 8400:2x5 = 840:2x5= 84:2 = 42:2 = 21:3 = 7:7=1 =) 8400 = 2^4 x 5^2 x 3 x 7

42400 = 42400:2x5 = 4240:2x5 = 424:2 = 212:2 = 106:2 = 53 : 53 = 1 =) 42400 = 2^5 x 5^2 x 53