A018283 Divisors of 100.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

From Alonso del Arte, Oct 10 2017: (Start)

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

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).

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)

Links

• Index entries for sequences related to divisors of numbers

Crossrefs

This sequence is row n = 100 of A027750.

Programs

Mathematica

Divisors[100] (* Vladimir Joseph Stephan Orlovsky, Feb 18 2012 *)

PARI

divisors(100)

Sage

divisors(100); # Zerinvary Lajos, Jun 13 2009

Formula

a(n) = 2^((n-1) mod 3)*5^floor((n-1)/3). - Aaron J Grech, Aug 11 2024