tìm các ước của các số sau: (số âm và dương)
i) Ư (18)
k) Ư (-24)
l) Ư (-12)
m) Ư (27)
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Ư(4)= {-4;-2;-1;1;2;4}
Ư(-3)= {-3;-1;1;3}
Ư(12)={-12;-6;-4;-3;-2;-1;1;2;3;4;6;12}
Ư(-8)={-8;-4;-2;-1;1;2;4;8}
Ư(-6)={-6;-3;-2;-1;1;2;3;6}
Ư(-20)={-20;-10;-5;-4;-2;-1;1;2;4;5;10;20}
Ư(-10)={-10;-5;-2;-1;1;2;5;10}
Ư(-16)={-16;-8;-4;-2;-1;1;2;4;8;16}
1)
\(Ư\left(6\right)=\left\{\pm1;\pm2;\pm3;\pm6\right\}\)
\(Ư\left(14\right)=\left\{\pm1;\pm2;\pm7;\pm14\right\}\)
\(Ư\left(17\right)=\left\{\pm1;\pm17\right\}\)
\(Ư\left(1\right)=\left\{\pm1\right\}\)
2)
a)
\(Ư\left(12\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\right\}\)
b)
\(Ư\left(18\right)=\left\{\pm1;\pm2;\pm3;\pm6;\pm9;\pm18\right\}\)
c)
\(Ư\left(24\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm8;\pm12;\pm24\right\}\)
\(\text{Ta có:}\)\(x>8\)\(\Rightarrow\)\(x\in\left\{12;24\right\}\)
\(B\left(-12\right)=\left\{0;\pm12;\pm24;\pm36;\pm48...\right\}\)
\(B\left(8\right)=\left\{0;\pm8;\pm16;\pm24;\pm32...\right\}\)
Vì là bội nên không có giới hạn nha!
\(Ư\left(15\right)=\left\{\pm1;\pm3;\pm5;\pm15\right\}\)
\(Ư\left(-9\right)=\left\{\pm1;\pm3;\pm9\right\}\)
\(Ư\left(4\right)=\left\{\pm1;\pm2;\pm4\right\}\)
B(-12)={0,+-12,+-24,+-48,...}
B(8)={0,+-8,+-16,+-24,...}
Ư(15)={+-1,+-3,+-5,+-15}
Ư(-9)={+-1,+-3,+-9}
Ư(4)={+-1,+-2,+-4}
a) Ư(12²) = Ư(144) = {1; 2; 3; 4; 6; 8; 9; 12; 16; 18; 24; 32; 48; 72; 144}
b) Ư(18²) = Ư(324) = {1; 2; 3; 4; 6; 9; 12; 18; 27; 36; 54; 81; 108; 162; 324}
c) Ư(24²) = Ư(576) = {1; 2; 3; 4; 6; 8; 9; 12; 16; 18; 24; 32; 36; 48; 64; 72; 96; 144; 192; 288; 576}
d) Ư(32²) = Ư(1024) = {1; 2; 4; 8; 16; 32; 64; 128; 256; 512; 1024}
Ư( 25 ) = ( 1 ; -1 ; 5 ; -5 ; 25 ; -25 )
Ư ( 40 ) = ( 1 ; -1 ; 2 ; -2 ; 4 ;-4 ; 5 ;-5 ; 8 ; -8 ; 10 ; -10 ; 20 ; -20 ; 40 ; -40 )
Ư ( 36 ) = ( 1 ; -1 ; 2 ; -2 ; 4 ; -4 ; 6 ; -6 ; 12 ; -12 ; 36 ; -36 )
U ( 60 ) = ( 1 ; -1 ; 2 ; -2 ; 3 ; -3 ; 4 ; -4 ; 5 ; -5 ; 6 ; -6 ; 10 ; -10 ; 12 ; -12 ; 15 ; -15 ; 20 ; -20 ; 30 ; -30 ; 60 ; -60 )
Lời giải:
$\text{Ư(25)}=\left\{1;-1;5;-5;25;-25\right\}$
$\text{Ư(40)}= \left\{1;-1;2;-2;4;-4;5;-5;8;-8;10;-10;20;-20;40;-40\right\}$
$\text{Ư(36)}=\left\{1;-1;2;-2;3;-3;4;-4;9;-9;12;-12;18;-18;36;-36\right\}$
$\text{Ư(60)}=\left\{1;-1;2;-2;3;-3;4;-4;5;-5;6;-6;10;-10;12;-12;15;-15;20;-20;30;-30;60;-60\right\}$
\(Ư\left(144\right)=\left\{1,2,3,4,6,8,9,12,16,18,24,36,48,72,144\right\}\)
\(Ư\left(324\right)=\left\{1,2,3,4,6,9,12,18,27,36,54,81,108,162,324\right\}\)
\(Ư\left(576\right)=\left\{1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576\right\}\)
\(Ư\left(1024\right)=\left\{1,2,4,8,16,32,64,128,256,512,1024\right\}\)
\(Ư\left(1296\right)=\left\{1,2,3,4,6,8,9,12,16,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296\right\}\)
i: \(18=3^2\cdot2\)
=>\(Ư\left(18\right)=\left\{1;-1;2;-2;3;-3;6;-6;9;-9;18;-18\right\}\)
k: \(24=2^3\cdot3\)
=>\(Ư\left(-24\right)=Ư\left(24\right)=\left\{1;-1;2;-2;3;-3;4;-4;6;-6;8;-8;12;-12;24;-24\right\}\)
l: \(12=2^2\cdot3\)
=>\(Ư\left(12\right)=Ư\left(-12\right)=\left\{1;-1;2;-2;3;-3;4;-4;6;-6;12;-12\right\}\)
m: \(27=3^3\)
=>\(Ư\left(27\right)=\left\{1;-1;3;-3;9;-9;27;-27\right\}\)