Question

decompor em fatores primos os números

a)120

b)135

c)360

d)616

e)900

f)440

g)320

h)507

i)2187

j)6300

k)4620

l)12675

Answer 1

a) 120 | 2
60 | 2
30 | 2
15 | 3
5 | 5
1

b) 135 | 3
45 | 3
15 | 3
5 | 5
1

c) 360 | 2
180 | 2
90 | 2
45 | 3
15 | 3
5 | 5
1

d) 616 | 2
308 | 2
154 | 2
77 | 7
11 | 11
1

e) 900 | 2
450 | 2
225 | 3
75 | 3
25 | 5
5 | 5
1

f) 440 | 2
220 | 2
110 | 2
55 | 5
11 | 11
1

g) 320 | 2
160 | 2
80 | 2
40 | 2
20 | 2
10 | 2
5 | 5
1

h) 507 | 3
169 | 13
13 | 13
1

i) 2187 | 3
729 | 3
243 | 3
81 | 3
27 | 3
9 | 3
3 | 3
1

j) 6300 | 2
3150 | 2
1575 | 3
525 | 3
175 | 5
35 | 5
7 | 7
1

k) 4620 | 2
2310 | 2
1155 | 3
385 | 5
77 | 7
11 | 11
1

l) 12675 | 3
4225 | 5
845 | 5
169 | 13
13 | 13
1

Espero ter ajudado. :)

Answer 2

Olá. 

Vamos aos cálculos:

A
$\begin{array}{cccc} 120&|&2\\60&|&2\\30&|&2\\15&|&3\\5&|&5\\1&|&=&2^3\cdot3\cdot5 \end{array}$


B
$\begin{array}{cccc}135&|&3\\45&|&3\\15&|&3\\5&|&5\\1&|&=&3^3\cdot5\end{array}$


C
$\begin{array}{cccc}360&|&2\\180&|&2\\90&|&2\\45&|&3\\15&|&3\\5&|&5\\1&|&=&2^3\cdot3^2\cdot5\end{array}$


D
$\begin{array}{cccc}616&|&2\\308&|&2\\154&|&2\\77&|&7\\11&|&11\\1&|&=&2^3\cdot7\cdot11\end{array}$

E
$\begin{array}{cccc}900&|&2\\450&|&2\\225&|&3\\75&|&3\\25&|&5\\5&|&5\\1&|&=&2^2\cdot3^2\cdot5^2\end{array}$

F
$\begin{array}{cccc}440&|&2\\220&|&2\\110&|&2\\55&|&5\\11&|&11\\1&|&=&2^3\cdot5\cdot11\end{array}$

G
$\begin{array}{cccc}320&|&2\\160&|&2\\80&|&2\\40&|&2\\20&|&2\\10&|&2\\5&|&5\\1&|&=&2^6\cdot5\end{array}$


H
$\begin{array}{cccc}507&|&3\\169&|&13\\13&|&13\\1&|&=&3\cdot13^2\end{array}$


I
$\begin{array}{cccc}2187&|&3\\729&|&3\\243&|&3\\81&|&3\\27&|&3\\9&|&3\\3&|&3\\1&|&=&3^7\end{array}$


J
$\begin{array}{cccc}6300&|&2\\3150&|&2\\1575&|&3\\525&|&3\\175&|&5\\35&|&5\\7&|&7\\1&|&=&2^2\cdot3^2\cdot5^2\cdot7\end{array}$


K
$\begin{array}{cccc} 4620&|&2\\2310&|&2\\1155&|&3\\385&|&5\\77&|&7\\11&|&11\\1&|&=&2^2\cdot3\cdot5\cdot7\cdot11 \end{array}$


L
$\begin{array}{cccc} 12675&|&3\\4225&|&5\\845&|&5\\169&|&13\\13&|&13\\1&|&=&3\cdot5^2\cdot13^2 \end{array}$


Qualquer dúvida, deixe nos comentários.
Bons estudos.