Banyak faktor genap positif dari (3-1/3)(4-1/4)(5-1/5)(6-1/6) adalah….

Penjelasan dengan langkah-langkah:

(3 – 1/3) . (4 – 1/4) . (5 – 1/5) . (6 – 1/6)

= (9/3 – 1/3) . (16/4 – 1/4) . (25/5 – 1/5) . (36/6 – 1/6)

= 8/3 . 15/4 . 24/5 . 35/6

= 8/4 . 15/3 . 24/6 . 35/5

= 2 . 5 . 4 . 7

= 280

280 = 1 x 280

280 = 2 x 140

280 = 4 x 70

280 = 5 x 56

280 = 7 x 40

280 = 8 x 35

280 = 10 x 28

280 = 14 x 20

Faktor genap = { 2, 4, 8, 10, 14, 20, 28, 40, 56, 70, 140, 280 } → ada 12

Banyak faktor genap positif = 12

Detail jawaban

Kelas 7

Mapel 2 – Matematika

Bab 2 – Bilangan

Kode Kategorisasi : 7.2.2