%I #41 Aug 12 2024 18:22:59

%S 1,2,4,5,10,20,25,50,100

%N Divisors of 100.

%C From _Alonso del Arte_, Oct 10 2017: (Start)

%C There are just three ways to partition 100 into its distinct divisors: 100 = 50 + 25 + 20 + 5 = 50 + 25 + 20 + 4 + 1 (see A033630).

%C However, it's not possible to exchange a United States 1-dollar coin for smaller coins of distinct denominations in current circulation since there are no 4- or 20-cent coins (see A112024).

%C Nor is it possible to exchange a 100-dollar bill for smaller bills of distinct denominations as there are no 4- or 25-dollar bills (see A124146). (End)

%H <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>

%F a(n) = 2^((n-1) mod 3)*5^floor((n-1)/3). - _Aaron J Grech_, Aug 11 2024

%t Divisors[100] (* _Vladimir Joseph Stephan Orlovsky_, Feb 18 2012 *)

%o (Sage) divisors(100); # _Zerinvary Lajos_, Jun 13 2009

%o (PARI) divisors(100)

%Y This sequence is row n = 100 of A027750.

%K nonn,fini,full,easy

%O 1,2

%A _N. J. A. Sloane_