KPK dan FPB

Edukasi KPK & FPB

🧮 Edukasi KPK & FPB

Belajar Matematika Jadi Menyenangkan!

📚 Apa itu KPK?

KPK (Kelipatan Persekutuan Terkecil) adalah bilangan terkecil yang dapat dibagi habis oleh dua atau lebih bilangan.

Contoh:

Kelipatan 4:

4 8 12 16 ...

Kelipatan 6:

6 12 18 24 ...

KPK dari 4 dan 6 = 12 ✨

🎯 Apa itu FPB?

FPB (Faktor Persekutuan Terbesar) adalah bilangan terbesar yang dapat membagi habis dua atau lebih bilangan.

Contoh:

Faktor 12:

1 2 3 4 6 12

Faktor 18:

1 2 3 6 9 18

FPB dari 12 dan 18 = 6 🎉

✨ Apa itu Bilangan Prima?

Bilangan Prima adalah bilangan yang hanya memiliki dua faktor, yaitu 1 dan dirinya sendiri. Bilangan ini tidak bisa dibagi oleh bilangan lain tanpa meninggalkan sisa.

Contoh Bilangan Prima:

2 3 5 7 11 13 17 19 23

Bilangan prima terus berlanjut... 🔢

🌳 Faktorisasi Prima

Faktorisasi Prima adalah cara menyatakan sebuah bilangan sebagai hasil perkalian dari bilangan-bilangan prima. Setiap bilangan hanya memiliki satu cara faktorisasi prima yang unik!

Contoh:

12 = 2² × 3

12 = 2 × 2 × 3 (faktor prima: 2, 2, dan 3)

20 = 2² × 5

20 = 2 × 2 × 5 (faktor prima: 2, 2, dan 5)

30 = 2 × 3 × 5

30 = 2 × 3 × 5 (faktor prima: 2, 3, dan 5)

🎯 KPK & FPB dengan Faktor Prima

📈 Menentukan KPK:

Ambil semua faktor prima dengan pangkat TERTINGGI dari kedua bilangan.

Contoh: 12 = 2² × 3¹ dan 20 = 2² × 5¹ → KPK = 2² × 3 × 5 = 60

📉 Menentukan FPB:

Ambil faktor prima yang SAMA dengan pangkat TERENDAH dari kedua bilangan.

Contoh: 12 = 2² × 3 dan 18 = 2 × 3² → FPB = 2 × 3 = 6

📊 Visualisasi KPK

Bilangan Pertama

Bilangan Kedua

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</body>
*/</style>