Question

cuantos divisores tiene 926100

Answer 1

Saludos

Primero encontremos los factores primos de

926100926100 | 2

463050 | 2

231525 | 3 

  77175 | 3 

   25725 | 3

    8575 | 5 

    1715 | 5 

       343 | 7   

         49 | 7

           7 | 7

           1        926100 = 2^2 * 3^3 * 5^2 * 7^3

Por lo tanto 926100 tiene (3 * 4 * 3 * 4 ) = 144 divisores.  

 {1, 2, 3, 4, 5, 6, 7, 9, 10,12, 14, 15, 18, 20, 21, 25, 27, 28, 30, 35, 36, 42, 45, 49, 50, 54, 60, 63,70, 75, 84, 90, 98, 100,105,108,126,135,140,147,150,175, 180, 189, 196, 210, 225, 245, 252, 270, 294, 300, 315, 343, 350, 378, 420, 441, 450, 490, 525, 540, 588 , 630, 675, 686, 700, 735, 756, 882, 900, 945, 980, 1029, 1050, 1225, 1260, 1323, 1350, 1372, 1470, 1575,  1715, 1764, 1890, 2058, 2100, 2205, 2450, 2646, 2700, 2940, 3087, 3150, 3430, 3675, 3780, 4116, 4410, 4725, 4900, 5145, 5292, 6174, 6300, 6615, 6860, 7350, 8575, 8820, 9261, 9450, 10290, 11025, 12348, 13230, 14700, 15435, 17150, 18522, 18900, 20580, 22050, 25725, 26460, 30870, 33075, 34300, 37044, 44100, 46305, 51450, 61740, 66150, 77175, 92610, 102900, 132300, 154350, 185220, 231525, 308700, 463050, 926100}