1.) KPK dari 4, 12, dan 24:
Faktorisasi prima dari 4: 2 × 2 = 2²
Faktorisasi prima dari 12: 2 × 2 × 3 = 2² × 3
Faktorisasi prima dari 24: 2 × 2 × 2 × 3 = 2³ × 3
KPK dari 4, 12, dan 24 = 2³ × 3
= (2 × 2 × 2) × 3
= (4 × 2) × 3
= 8 × 3
= 24
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2.) 6!
= (6 × 5 × 4 × 3 × 2 × 1)
= (30 × 4 × 3 × 2 × 1)
= (120 × 3 × 2 × 1)
= (360 × 2 × 1)
= 720 × 1
= 720
Penjelasan dengan langkah-langkah:
1) KPK = 24 (Di gambar)
2)
= 6!
= 6 × 5 × 4 × 3 × 2 × 1
= 30 × 24
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Verified answer
1.) KPK dari 4, 12, dan 24:
Faktorisasi prima dari 4: 2 × 2 = 2²
Faktorisasi prima dari 12: 2 × 2 × 3 = 2² × 3
Faktorisasi prima dari 24: 2 × 2 × 2 × 3 = 2³ × 3
KPK dari 4, 12, dan 24 = 2³ × 3
= (2 × 2 × 2) × 3
= (4 × 2) × 3
= 8 × 3
= 24
__________________________________
2.) 6!
= (6 × 5 × 4 × 3 × 2 × 1)
= (30 × 4 × 3 × 2 × 1)
= (120 × 3 × 2 × 1)
= (360 × 2 × 1)
= 720 × 1
= 720
Penjelasan dengan langkah-langkah:
1) KPK = 24 (Di gambar)
2)
= 6!
= 6 × 5 × 4 × 3 × 2 × 1
= 30 × 24
= 720