# Richard Evan Schwartz

## 1-100 Factored: Information

### Poster Explanation

The numbers 2,3,4,5,6,... can be classified into
two types,

primes and composites. A composite
is a number
which

can be expressed as the product of two
smaller numbers

on the list. For instance, 6 and
18 are composites because

6=2 x 3 and
18=3 x 6. A prime is a number which is
not

composite. The first few primes are
2, 3, 5, 7, 11, 13, 17, 19.

Every
composite can be written as the product
of two or

more primes.
For instance, 120=2 x 2 x 2 x 3 x 5.

Writing a composite in this way is called
* factoring * it.

The poster illustrates the idea of factoring through
the use

of
cartoon characters. Each prime-numbered block in
the

poster shows a cartoon character who has some
feature

related to that prime. For instance, the
girl in block-7 has

a 7-sided head. Sometimes
the relation between the

character and the number is
a bit hard to find, as in

block-19. (In this block
the green face has 19 sides, 6

on the outside
and 13 more around the eyes.) Each

composite numbered block shows a scene involving the

characters corresponding to the
primes which occur

when the composite is
factored. For instance, block-14

shows the
girl from block-7 munching on the bee from

block-2,
because 14=2 x 7. The cartoon characters are

sometimes drawn differently in different squares; this

is part of the fun and challenge of the poster.
### publication history

The poster was one of
the finalists in the 2003 N.S.F.

Science and Engineering Visualization Challenge

The poster appeared in print, in Joy Hakim's book

* The story of science *
(Smithsonian Books, 2004)