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tentukan kpk dan fbb dari 120 dan 350 buat pohon

Berikut ini adalah pertanyaan dari ganendrakunaefi pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Pertama

Tentukan kpk dan fbb dari 120 dan 350 buat pohon faktor terlebih dahulu ​

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

\large{ \colorbox{lavender}{ \purple{ \boxed{ \green{ \star{ \purple{ \rm{«Penyelesaian \: Soal » : { \green{ \star}}}}}}}}}}

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\huge{ \purple{ \mathfrak{♡Pembahasan♡ : }}}

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\blue{ \sf{mencari \: kpk \: dan \: fpb : }} \\ \small\begin{gathered} \boxed {\begin{aligned} {\underline{ \bold{120}} = \sf{ {2}^{3} \times 3 \times 5 }} \\ \sf{ = 2 \times 2 \times 2 \times 3 \times 5 } \\ \sf{ = 4 \times 2 \times 3 \times 5} \\ \sf{ = 8 \times 3 \times 5} \\ \sf{ = 24 \times 5}\end{aligned}} \end{gathered} \quad \small \begin{gathered} \boxed { \begin{aligned} { \underline{ \bold{350}}} \sf{ = 2 \times {5}^{2} \times 7 } \\ \sf{ = 2 \times 5 \times 5 \times 7} \\ \sf{ = 2 \times 25 \times 7} \\ \sf{ = 50 \times 7}\end{aligned}}\end{gathered} \\ \small \begin{gathered} \boxed{ \begin{aligned} \bold{kpk} \sf{ \: = {2}^{3} \times {5}^{2} \times 7 } \\ \sf{ = 2 \times 2 \times 2 \times 3 \times 5 \times 5 \times 7} \\ \sf{ = 8 \times3 \times 25 \times 7} \\ \sf{ = \underline{ \red{4.200}}} \\ \\ {\underline { \bold{fpb}}} = \underline{ \red{2}}\end{aligned}} \end{gathered}

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Note : Pohon Faktor terlampir-!!

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_____________________________________________________________________________

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\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}

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\colorbox{black}{ \blue{ \boxed{ \boxed{ \rm{༆@AvrilKim࿐}}}}}

[tex] \large{ \colorbox{lavender}{ \purple{ \boxed{ \green{ \star{ \purple{ \rm{«Penyelesaian \: Soal » : { \green{ \star}}}}}}}}}}[/tex] [tex] \: [/tex][tex]\huge{ \purple{ \mathfrak{♡Pembahasan♡ : }}}[/tex][tex] \: [/tex][tex] \blue{ \sf{mencari \: kpk \: dan \: fpb : }} \\ \small\begin{gathered} \boxed {\begin{aligned} {\underline{ \bold{120}} = \sf{ {2}^{3} \times 3 \times 5 }} \\ \sf{ = 2 \times 2 \times 2 \times 3 \times 5 } \\ \sf{ = 4 \times 2 \times 3 \times 5} \\ \sf{ = 8 \times 3 \times 5} \\ \sf{ = 24 \times 5}\end{aligned}} \end{gathered} \quad \small \begin{gathered} \boxed { \begin{aligned} { \underline{ \bold{350}}} \sf{ = 2 \times {5}^{2} \times 7 } \\ \sf{ = 2 \times 5 \times 5 \times 7} \\ \sf{ = 2 \times 25 \times 7} \\ \sf{ = 50 \times 7}\end{aligned}}\end{gathered} \\ \small \begin{gathered} \boxed{ \begin{aligned} \bold{kpk} \sf{ \: = {2}^{3} \times {5}^{2} \times 7 } \\ \sf{ = 2 \times 2 \times 2 \times 3 \times 5 \times 5 \times 7} \\ \sf{ = 8 \times3 \times 25 \times 7} \\ \sf{ = \underline{ \red{4.200}}} \\ \\ {\underline { \bold{fpb}}} = \underline{ \red{2}}\end{aligned}} \end{gathered}[/tex][tex] \: [/tex]Note : Pohon Faktor terlampir-!![tex] \: [/tex][tex]_____________________________________________________________________________[/tex][tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]=========[tex]\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}[/tex][tex] \:[/tex][tex]\colorbox{black}{ \blue{ \boxed{ \boxed{ \rm{༆@AvrilKim࿐}}}}}[/tex][tex] \large{ \colorbox{lavender}{ \purple{ \boxed{ \green{ \star{ \purple{ \rm{«Penyelesaian \: Soal » : { \green{ \star}}}}}}}}}}[/tex] [tex] \: [/tex][tex]\huge{ \purple{ \mathfrak{♡Pembahasan♡ : }}}[/tex][tex] \: [/tex][tex] \blue{ \sf{mencari \: kpk \: dan \: fpb : }} \\ \small\begin{gathered} \boxed {\begin{aligned} {\underline{ \bold{120}} = \sf{ {2}^{3} \times 3 \times 5 }} \\ \sf{ = 2 \times 2 \times 2 \times 3 \times 5 } \\ \sf{ = 4 \times 2 \times 3 \times 5} \\ \sf{ = 8 \times 3 \times 5} \\ \sf{ = 24 \times 5}\end{aligned}} \end{gathered} \quad \small \begin{gathered} \boxed { \begin{aligned} { \underline{ \bold{350}}} \sf{ = 2 \times {5}^{2} \times 7 } \\ \sf{ = 2 \times 5 \times 5 \times 7} \\ \sf{ = 2 \times 25 \times 7} \\ \sf{ = 50 \times 7}\end{aligned}}\end{gathered} \\ \small \begin{gathered} \boxed{ \begin{aligned} \bold{kpk} \sf{ \: = {2}^{3} \times {5}^{2} \times 7 } \\ \sf{ = 2 \times 2 \times 2 \times 3 \times 5 \times 5 \times 7} \\ \sf{ = 8 \times3 \times 25 \times 7} \\ \sf{ = \underline{ \red{4.200}}} \\ \\ {\underline { \bold{fpb}}} = \underline{ \red{2}}\end{aligned}} \end{gathered}[/tex][tex] \: [/tex]Note : Pohon Faktor terlampir-!![tex] \: [/tex][tex]_____________________________________________________________________________[/tex][tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]=========[tex]\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}[/tex][tex] \:[/tex][tex]\colorbox{black}{ \blue{ \boxed{ \boxed{ \rm{༆@AvrilKim࿐}}}}}[/tex][tex] \large{ \colorbox{lavender}{ \purple{ \boxed{ \green{ \star{ \purple{ \rm{«Penyelesaian \: Soal » : { \green{ \star}}}}}}}}}}[/tex] [tex] \: [/tex][tex]\huge{ \purple{ \mathfrak{♡Pembahasan♡ : }}}[/tex][tex] \: [/tex][tex] \blue{ \sf{mencari \: kpk \: dan \: fpb : }} \\ \small\begin{gathered} \boxed {\begin{aligned} {\underline{ \bold{120}} = \sf{ {2}^{3} \times 3 \times 5 }} \\ \sf{ = 2 \times 2 \times 2 \times 3 \times 5 } \\ \sf{ = 4 \times 2 \times 3 \times 5} \\ \sf{ = 8 \times 3 \times 5} \\ \sf{ = 24 \times 5}\end{aligned}} \end{gathered} \quad \small \begin{gathered} \boxed { \begin{aligned} { \underline{ \bold{350}}} \sf{ = 2 \times {5}^{2} \times 7 } \\ \sf{ = 2 \times 5 \times 5 \times 7} \\ \sf{ = 2 \times 25 \times 7} \\ \sf{ = 50 \times 7}\end{aligned}}\end{gathered} \\ \small \begin{gathered} \boxed{ \begin{aligned} \bold{kpk} \sf{ \: = {2}^{3} \times {5}^{2} \times 7 } \\ \sf{ = 2 \times 2 \times 2 \times 3 \times 5 \times 5 \times 7} \\ \sf{ = 8 \times3 \times 25 \times 7} \\ \sf{ = \underline{ \red{4.200}}} \\ \\ {\underline { \bold{fpb}}} = \underline{ \red{2}}\end{aligned}} \end{gathered}[/tex][tex] \: [/tex]Note : Pohon Faktor terlampir-!![tex] \: [/tex][tex]_____________________________________________________________________________[/tex][tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]=========[tex]\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}[/tex][tex] \:[/tex][tex]\colorbox{black}{ \blue{ \boxed{ \boxed{ \rm{༆@AvrilKim࿐}}}}}[/tex]

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Last Update: Sat, 12 Nov 22
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