Question

Determinati numarul divizorilor intregi a numerelor: 6³,28³,1800,1440,5390,-24,-8³,-36²

Answer 1

6³=216 multimea divizorilor lui 216 :{1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216}

28³=21952 multimea divizorilor lui 21952, are 28 divizori:{ 1; 2; 4; 7; 8; 14; 16; 28; 32; 49; 56; 64; 98; 112; 196; 224; 343; 392; 448; 686; 784; 1.372; 1.568; 2.744; 3.136; 5.488; 10.976; 21.952}

1.800 are 36 divizori: { 1; 2; 3; 4; 5; 6; 8; 9; 10; 12; 15; 18; 20; 24; 25; 30; 36; 40; 45; 50; 60; 72; 75; 90; 100; 120; 150; 180; 200; 225; 300; 360; 450; 600; 900 ; 1.800}

1.440 are 36 divizori:{1; 2; 3; 4; 5; 6; 8; 9; 10; 12; 15; 16; 18; 20; 24; 30; 32; 36; 40; 45; 48; 60; 72; 80; 90; 96; 120; 144; 160; 180; 240; 288; 360; 480; 720 ; 1.440}

5.390 are 24 divizori:{ 1; 2; 5; 7; 10; 11; 14; 22; 35; 49; 55; 70; 77; 98; 110; 154; 245; 385; 490; 539; 770; 1.078; 2.695 ; 5.390}

- 24 are 16 divizori: -1; 1; -2 ; 2; - 3 ; 3; -4; 4; -6; 6; - ; 8; -12; 12 ;-24 ; 24,

-8³=512 are .20 divizori: 1; 2; 4; 8; 16; 32; 64; 128; 256 ; 512; -1; -2; -4; -8; -16; -32; -64; -128; -256 ; -512

-36² 1.296 are 50 divizori: 1; 2; 3; 4; 6; 8; 9; 12; 16; 18; 24; 27; 36; 48; 54; 72; 81; 108; 144; 162; 216; 324; 432; 648 ; 1.296; -1; -2; -3; -4; -6; -8; -9; -12; -16; -18; -24; -27; -36; -48; -54; -72; -81; -108; -144;-162; -216; -324; -432; -648 ; -1.296.