Question

1.Aflati numarul divizorilor urmatoarelor numere
a)162
b)108
c)32
2.Calculati,fara a descompune in puteri de factori de factori primi
a) (6,10)=
b) (40,60)=
c) (11,33)=
3.Calculati cel mai mare divizor comun al urmatoarelor grupe de numere
a) (50,75)=
b)(32,48)=
c)(15,27,81)=
d) (66,77,88)=
e) (112,126)=
f) (12,60)=
TIMP DE LUCRU 40 minute.
Oficiu 4 puncte
dau 60 puncte!!

Answer 1

Răspuns:

1. d 162=1,2,3,6,9,18,27,54,81,162

d 108= 1,2,3,4,6,9,12,18,27,36,54,108

d 32=1,2,4,8,16,32

2. a)30 ;b)120 c)60 d)36

3.) 50;75

50 = 2 * 5^2

75 = 3 *  5^2

=> c.m.m.d.c = 5^2 = 25

b) 32;48

32 = 2^5

48 =  2^4* 3

=> cmmdc = 2^4= 16

c) 72;108

72 =2^3  * 3^2

108 =2^2  * 3^2

d) 66;242

66 = 2*3*11

242 = 11^2* 2

cmmdc = 11 * 2 = 22

e) 112; 126

112 = 2^4 * 7

126 = 2 * 3^2* 7

cmmdc = 7 * 2 = 14

f) 50;42;36

50 = 5^2 * 2

42 = 2 * 7  * 3

36 = 2^2* 3^2

cmmdc = 2

g) 150; 75;225

150 = 2*5^2* 3

75 = 3* 5^2

225 = 5^2* 3^2

cmmdc = 75

h) 98; 42; 105

98 = 7 * 2

42 = 2 * 7 * 3

105 = 5 * 7 * 3

cmmdc = 7