Question

Aflti cel mai mare divizor prim al urmatorlor numere a 12,28 b 10, 14 c 15,35 d 42,36 e 16,36 f 100,80 g 14,49 h 42,21 i 35, 6 va rog am tema iau patru daca nu o fac ​

Answer 1

Răspuns:

a)

$12 = {2}^{2} \times 3$

$28 = {2}^{2} \times 4$

$cmmdc = {2}^{2} = 4$

b)

$10 = 2 \times 5$

$14 = 2 \times 7$

$cmmdc = 2$

c)

$15 = 3 \times 5$

$35 = 5 \times 7$

$cmmdc = 5$

d)

$42 = 2 \times 3 \times 7$

$36 = {2}^{2} \times {3}^{2}$

$cmmdc = 2 \times 3 = 6$

e)

$16 = {2}^{4}$

$36 = {2}^{2} \times {3}^{2}$

$cmmdc = {2}^{2} = 4$

f)

$100 = {2}^{2} \times {5}^{2}$

$80 = {2}^{4} \times 5$

$cmmdc = {2}^{2} \times 5 = 20$

g)

$14 = 2 \times 7$

$49 = {7}^{2}$

$cmmdc = 7$

h)

$42 = 2 \times 3 \times 7$

$21 = 3 \times 7$

$cmmdc = 3 \times 7 = 21$

i)

$35 = 5 \times 7$

$6 = 2 \times 3$

$cmmdc = 1(numere \: prime \: intre \: ele)$