Question

1. tentukan faktor persekutuan dari bilangan-bilangan berikut. kemudian, temukan FPB-nya
a.16 dan 24
b.30 dan 45
c.48 dan 54
d. 9, 18 dan 36
e. 24, 32 dan 64
f. 36, 52 dan 60
g. 82, 120 dan 150
h. 36, 108 dan 160

Answer 1

A. 16 = 2^4
   24 = 2³ x 3
FPB = 2³ = 8

b. 30 = 2 x 3 x 5
45 = 3² x 5
FPB = 3 x 5 = 15

c. 48 = 2^4 x 3
54 = 2 x 3³
FPB = 2 x 3 = 6

d. 9 = 3²
18 = 2 x 3²
36 = 2² x 3²
FPB = 3² = 9

e. 24 = 2³ x 3
32 = 2^5
64 = 2^6
FPB = 2³ = 8

f. 36 = 2² x 3²
52 = 2² x 13
60 = 2² x 3 x 5
FPB = 2² = 4

g. 82 = 2 x 41
120 = 2³ x 3 x 5
150 = 2 x 3 x 5²
FPB = 2

h. 36 = 2² x 3²
108 = 2² x 3³
160 = 2^5 x 5
FPB = 2² = 4