Question

Carilah Kpk&Fpb Dari
75 dan 120
140 dan 160
menggunakan cara

Answer 1

A. Mencari faktorisasi prima dari 75 dan 120 >> gunakan pohon faktor
.75............................120
./..\............................/...\
3..25.........................2...60
..../..\............................./..\
...5...5...........................2..30
......................................../..\
.......................................2...15
............................................./..\
.............................................3..5

75 = 3 × 5²
120 = 2³ × 3 × 5

KPK = 2³ × 3 × 5²
KPK = 8 × 3 × 25
KPK = 600

FPB = 3 × 5
FPB = 15
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
b. Mencari faktorisasi prima dari 140 dan 160 >> gunakan pohon faktor
.140..............................160
../..\.............................../...\
.2..70...........................2...80
...../..\.............................../..\
....2..35............................2..40
......../..\.............................../..\
.......5...7.............................2..20
............................................../..\
.............................................2..10
................................................./..\
................................................2...5

140 = 2² × 5 × 7
160 = 2⁵ × 5

KPK = 2⁵ × 5 × 7
KPK = 32 × 5 × 7
KPK = 160 × 7
KPK = 1.120

FPB = 2² × 5
FPB = 4 × 5
FPB = 20