Question

Tentukan kpk dan fpb dari bilangan2 berikut dgn cara memfaktorkan.
a.4,12,20
b.24,36,72
c.45,78,100

Answer 1

A. 4 = 2 kuadrat
12 = 2 kuadrat X 3
20 =2 kuadrat X5
KPK = 2 kuadratX3X5
= 4X3X5
= 60
FPB = 2 kuadrat
= 4

B. 24= 2kubik X 3
36 = 2 kuadrat X 3 kuadrat
72 = 2 kubik X 3 kuadrat
KPK = 2 kubik X 3 kuadrat
= 8X9
=72
FPB = 2 kuadrat X 3
= 4X3
=12

C. 45 = 3 kuadrat X 5
78 = 2X3X13
100 = 2 kuadrat X 5 kuadrat
KPK = 2 kuadrat X 3 kuadrat X 5 kuadrat X 13
= 11.700
FPB = 1

Catatan : kuadrat itu artinya pangkat 2, kalau kubik artinya pangkat 3.