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Bài toán 1 : Viết các tập hợp sau.
a)Ư:(6,9,12) d) B(23) ; B(10) ; B(8)
b)Ư(7) ; Ư(18) ; Ư(10) e) B(3) ; B(12) ; B(9)
c)Ư(15) ; Ư(16) ; Ư(250 g) B(18) ; B(20) ; B(14)
\(a)\)
\(Ư (6) = \) \(\left\{1;2;3;6\right\}\)
\(Ư\left(9\right)=\left\{1;3;9\right\}\)
\(Ư\left(12\right)=\left\{1;2;3;4;6;12\right\}\)
\(b)\)
\(Ư\left(7\right)=\left\{1;7\right\}\)
\(Ư\left(18\right)=\left\{1;2;3;6;9;18\right\}\)
\(Ư\left(10\right)=\left\{1;2;5;10\right\}\)
\(c)\)
\(Ư\left(15\right)=\left\{1;3;5;15\right\}\)
\(Ư\left(16\right)=\left\{1;2;4;8;16\right\}\)
\(Ư\left(250\right)=\left\{1;2;5;10;25;50;125;250\right\}\)
\(d)\)
\(B\left(23\right)=\left\{0;23;46;69;...\right\}\)
\(B\left(10\right)=\left\{0;10;20;30;...\right\}\)
\(B\left(8\right)=\left\{0;8;16;24;...\right\}\)
\(e)\)
\(B\left(3\right)=\left\{0;3;6;9;...\right\}\)
\(B\left(12\right)=\left\{0;12;24;36;...\right\}\)
\(B\left(9\right)=\left\{0;9;18;27;...\right\}\)
\(g)\)
\(B\left(18\right)=\left\{0;18;36;54;...\right\}\)
\(B\left(20\right)=\left\{0;20;40;60;...\right\}\)
\(B\left(14\right)=\left\{0;14;28;42;...\right\}\)
Ta có: \(Ư\left(250\right)\in\left\{1;2;5;10;25;50;125;250\right\}\)
Nếu bạn học số âm rồi thì:
\(Ư\left(250\right)\in\left\{\pm1;\pm2;\pm5;\pm10;\pm25;\pm50;\pm125;\pm250\right\}\)
a) U(-5) = {-5;-1;1;5}
U(-27) = {-27;-9;-3;-1;1;3;9;27}
U(35) = {-35;-7;-5;-1;1;5;7;35}
b) 8 bội của - 9 là: 0;9;18;-18 ; -9 ; -72 ; -63 ; 36
8 bội của 15 là: 0;15;30;45;-75;75 ; -15 ; -30
8 bội của 17 là: 0;17;34;-17;-34; 51 ; -51 ; 68
1 / Ta có : Ư ( 250 ) = { 1 ; 2 ; 5 ; 10 ; ... ; 250 }
2 / Ta có : B ( 11 ) = { 0 ; 11 ; 22 ; 33 ; ... }
a) abba=1000a+100b+10b+a=1001a+110b=11(91a+10b) chia hết cho 11
b) aaabbb=1000aaa+bbb=1000.a.111+b.111=111(1000a+b) = 3.37(1000a+b) chia hết cho 37
2)
a)
a: Ư(15)={1;-1;3;-3;5;-5;15;-15}
Ư(27)={1;-1;3;-3;9;-9;27;-27}
ƯC(15;27)={1;-1;3;-3}
b: Ư(16)={1;-1;2;-2;4;-4;8;-8;16;-16}
Ư(20)={1;-1;2;-2;4;-4;5;-5;10;-10;20;-20}
Ư(30)={1;-1;2;-2;3;-3;5;-5;6;-6;10;-10;15;-15;30;-30}
ƯC(16;20;30)={1;-1;2;-2}
\(Ư\left(144\right)=\left\{1,2,3,4,6,8,9,12,16,18,24,36,48,72,144\right\}\)
\(Ư\left(324\right)=\left\{1,2,3,4,6,9,12,18,27,36,54,81,108,162,324\right\}\)
\(Ư\left(576\right)=\left\{1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576\right\}\)
\(Ư\left(1024\right)=\left\{1,2,4,8,16,32,64,128,256,512,1024\right\}\)
\(Ư\left(1296\right)=\left\{1,2,3,4,6,8,9,12,16,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296\right\}\)
\(250=5^3\cdot2\)
=>\(Ư\left(250\right)=\left\{1;-1;2;-2;5;-5;10;-10;25;-25;50;-50;125;-125;250;-250\right\}\)
\(Ư\left(250\right)\)\(=\left\{1;2;5;10;25;50;125;250\right\}\)