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How many of the divisors of  8! are larger than 7! 

 

2)For how many integer values of n between 1 and 1000 inclusive does the decimal representation of n/1375 terminate?

 Sep 25, 2020
edited by DragonXlayer  Sep 25, 2020
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1 - ( 5760, 6720, 8064, 10080, 13440, 20160, 40320) >>Total = 7 divisors are > 7!

 

2 - (11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220, 231, 242, 253, 264, 275, 286, 297, 308, 319, 330, 341, 352, 363, 374, 385, 396, 407, 418, 429, 440, 451, 462, 473, 484, 495, 506, 517, 528, 539, 550, 561, 572, 583, 594, 605, 616, 627, 638, 649, 660, 671, 682, 693, 704, 715, 726, 737, 748, 759, 770, 781, 792, 803, 814, 825, 836, 847, 858, 869, 880, 891, 902, 913, 924, 935, 946, 957, 968, 979, 990) = 90 such numbers, which are ALL multiples of 11.

 Sep 25, 2020

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