TRIK MENENTUKAN OPERASI PERKALIAN DUA BILANGAN

in #matematika7 years ago

Steem Math.jpg

Seorang mahasiswa telah melakukan operasi perkalian 2 bilangan, diperoleh hasilnya 2880.
Untitled.png

Berdasarkan informasi di atas.
Jika 2 bilangan yang operasikan oleh mahasiswa tersebut merupakan bilangan asli, sebutkan kemungkinan bilangan-bilangan tersebut?
Penyelesaian
Langkah pertama sekali adalah menentukan salah satu perkalian dua bilangan yang akan menghasilkan 2880, yaitu :

  1. 1 x 2880 = 2880
    1 x 2880 = (1x2) x (2880/2) = 2 x 1440 = 2880
    1 x 2880 = (1x3) x (2880/3) = 3 x 960 = 2880
    1 x 2880 = (1x4) x (2880/4) = 4 x 720 = 2880
    1 x 2880 = (1x5) x (2880/5) = 5 x 576 = 2880
    1 x 2880 = (1x6) x (2880/6) = 6 x 480 = 2880
    1 x 2880 = (1x8) x (2880/8) = 8 x 360 = 2880
    1 x 2880 = (1x9) x (2880/9) = 9 x 320 = 2880
    1 x 2880 = (1x10) x (2880/10) = 10 x 288 = 2880
    1 x 2880 = (1x12) x (2880/12) = 12 x 240 = 2880
    1 x 2880 = (1x15) x (2880/15) = 15 x 192 = 2880
    1 x 2880 = (1x16) x (2880/16) = 16 x 180 = 2880
    1 x 2880 = (1x18) x (2880/18) = 18 x 160 = 2880
    1 x 2880 = (1x20) x (2880/20) = 20 x 144 = 2880
    1 x 2880 = (1x24) x (2880/24) = 24 x 120 = 2880
    1 x 2880 = (1x30) x (2880/30) = 30 x 96 = 2880
    1 x 2880 = (1x40) x (2880/40) = 40 x 72 = 2880
    1 x 2880 = (1x60) x (2880/60) = 60 x 48 = 2880
    1 x 2880 = (1x80) x (2880/80) = 80 x 36 = 2880
    1 x 2880 = (1x90) x (2880/90) = 90 x 32 = 2880

  2. 2 x 1440 = 2880
    2 x 1440 = (2x2) x (1440/2) = 4 x 720 = 2880
    2 x 1440 = (2x3) x (1440/3) = 6 x 480 = 2880
    2 x 1440 = (2x4) x (1440/4) = 8 x 360 = 2880
    2 x 1440 = (2x5) x (1440/5) = 10 x 288 = 2880
    2 x 1440 = (2x6) x (1440/6) = 12 x 240 = 2880
    2 x 1440 = (2x8) x (1440/8) = 16 x 180 = 2880
    2 x 1440 = (2x9) x (1440/9) = 18 x 160 = 2880
    2 x 1440 = (2x10) x (1440/10) = 20 x 144 = 2880
    2 x 1440 = (2x12) x (1440/12) = 24 x 120 = 2880
    2 x 1440 = (2x15) x (1440/15) = 30 x 96 = 2880
    2 x 1440 = (2x16) x (1440/16) = 32 x 90 = 2880
    2 x 1440 = (2x18) x (1440/18) = 36 x 80 = 2880
    2 x 1440 = (2x20) x (1440/20) = 40 x 72 = 2880
    2 x 1440 = (2x24) x (1440/24) = 48 x 60 = 2880
    2 x 1440 = (2x30) x (1440/30) = 60 x 48 = 2880
    2 x 1440 = (2x40) x (1440/40) = 80 x 36 = 2880
    2 x 1440 = (2x60) x (1440/60) = 120 x 24 = 2880
    2 x 1440 = (2x80) x (1440/80) = 160 x 18 = 2880
    2 x 1440 = (2x90) x (1440/90) = 180 x 16 = 2880

Semoga Bermanfaat

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