Bonjour pouvez vous m’aidez svp je n’y arrive pas merci beaucoup ❤️

Bonjour,

1) 349272 / 2 = 174636
174636 / 2 = 87318
87318 / 2 = 43659
43659 / 3 = 14553
14553 / 3 = 4851
4851 / 3 = 1617
1617 / 3 = 539
539 / 7 = 77
77 / 7 = 11

349272 = 2^3 x 3^4 x 7^2 x 11
n = 3
m = 4
p = 2

2) 36288 / 2 = 18144
18144 / 2 = 9072
9072 / 2 = 4536
4536 / 2 = 2268
2268 / 2 = 1134
1134 / 2 = 567
567 / 3 = 189
189 / 3 = 63
63 / 3 = 21
21 / 3 = 7

36288 = 2^6 x 3^4 x 7
r = 6
s = 4
t = 1

3) N = 2^3 x 3^3 x 7

349272 = 2^3 x 3^4 x 7^2 x 11
349272 = 2^3 x 3^3 x 7 x 3 x 7 x 11
349272 = N x 3 x 7 x 11

36288 = 2^6 x 3^4 x 7
36288 = 2^3 x 3^3 x 7 x 2^3 x 3
36288 = N x 2^3 x 3

4) M = 2^6 x 3^4 x 7^2 x 11

M = 2^6 x 3^4 x 7^2 x 11
M = 2^3 x 3^4 x 7^2 x 11 x 2^3
M = 349272 x 2^3

M = 2^6 x 3^4 x 7^2 x 11
M = 2^6 x 3^4 x 7 x 7 x 11
M = 36288 x 7 x 11