Question

1.Decomponha esses números em fatores primos:
a)540
b)1323
c)288
d)360
e)384
f)900

2. Qual o mmc de:
a)50-75
b)60-24
c)21-30
d)28-48
e)10-12-45
f)100-200-300
g)6-8-12-15
h)12-15

3.Qual o mdc de:
a)35-10
b)18-30
c)15-40
d)22-46
e)85-75
f)20-130

Coloquem as contas pfv

Answer 1

Oi
Fatores Primos de:
a)
540/2
270/2
135/3
45/3
15/3
5/5
1
540=2².3³.5
b)
1323/3
441/3
147/3
49/7
7/7
1
1323=3³.7²
c)
288/2
144/2
72/2
36/2
18/2
9/3
3/3
1
288 = 2^5.3²
d)
360/2
180/2
90/2
45/3
15/3
5/5
1
360=2³.3².5
e)
384/2
192/2
96/2
48/2
24/2
12/2
6/2
3/3
1
384=2^7.3
f)
900/2
450/2
225/3
75/3
25/5
5/5
1
900=2².3³.5²

2)O MMC leva se conta, os fatores comuns e não comuns maiores expoentes.
a)50,75/2
25,75/3
25,25/5
5,5/5
1,1
MMC=2.3.5.5=150
b)60,24/2
30,12/2
15,6/2
15,3/3
5,1/5
1,1
MMc=2.2.2.3.5=120
c)21,30/2
21,15/3
7,5/5
7,1/7
1,1
MMC=2.3.5.7=210
d)28,48/2
14,24/2
7,12/2
7,6/2
7,3/3
7,1/7
1,1
MMC=2.2.2.2.3.7=336
e) 10,12,45/2
5,6,45/2
5,3,45/3
5,1,15/3
5,1,1/5
1,1,1
MMC= 2.2.3.3.5=180
f)
100,200,300/2
50,100,150/2
25,50,75/2
25,25,75/3
25,25,25/5
5,5,5/5
1,1,1
MMC=2.2.2.3.5.5=600
g)
6,8,12,15/2
3,4,6,15/2
3,2,3,15/2
3,1,3,15/3
1,1,1,5/5
1,1,1,1
MMC= 2.2.2.3.5=120
h)
12,15/2
6,15/2
3,15/3
1,5/5
1,1
MMC=2.2.3.5=60
3) O MDC, considera-se os fatores comuns de menores expoentes.
a)35,10/2
35,5/5
7,1/7
1,1
MDC = 5
b) 18,30/2
9,15/3
3,5/3
1,5/5
1,1
MDC=2.3=6
c)15,40/2
15,20/2
15,10/2
15,5/3
5,5/5
1,1
MDC=5
d)22,46/2
11,23/11
1,23/23
1,1
MDC=2
e)85,75/3
85,25/5
17,5/5
17,1/17
1,1
MDC=5
f)20,130/2
10,65/2
5,13/5
1,13/13
1,1
MDC=2.5=10

Espero ter ajudado.