Sagot :
Bonjour !
a)
[tex]4000 = 4 \times 1000 \\ = 2 \times 2 \times 2 \times 500 \\ = 2 \times 2 \times 2 \times 5 \times 100 \\ = 2 \times 2 \times 2 \times 5 \times 10 \times 10 \\ = 2 \times 2 \times 2 \times 5 \times 2 \times 5 \times 2 \times 5 \\ = {2}^{5} \times {5}^{3} [/tex]
b)
[tex]728 = 2 \times 364 \\ 2 \times 2 \times 182 \\ = 2 \times 2 \times 2 \times 91 \\ = 2 \times 2 \times 2 \times 7 \times 13 \\ = {2}^{3} \times 7 \times 13[/tex]
c)
[tex]155 = 5 \times 31[/tex]
d)
[tex]1024 = 2 \times 512 \\ = 2 \times 2 \times 256 \\ = 2 \times 2 \times 2 \times 128 \\ = 2 \times 2 \times 2 \times 2 \times 64 \\ = ... \\ = {2}^{10} [/tex]
e)
[tex]560 = 2 \times 280 \\ = 2 \times 2 \times 10 \times 28 \\ =2 \times 2 \times 2 \times 5 \times 14 \\ = 2 \times 2 \times 2 \times 5 \times 2 \times 7 \\ = {2}^{4} \times 5 \times 7[/tex]
f)
[tex]1210 = 10 \times 121 \\ = 2 \times 5 \times 11 \times 11 \\ = 2 \times 5 \times {11}^{2} [/tex]
Bonne journée
Réponse :
Bjr
Explications étape par étape :
a) 4000= 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5
b) 728 = 2 × 2 × 2 × 7 × 13
c) 155=5 × 31
d) 1024= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2×2
e) 560= 2 × 2 × 2 × 2 × 5 × 7
f) 1210= 2 × 5 × 11 × 11
En espérant vous avoir aider.