Subject: | |
From: | |
Reply To: | |
Date: | Wed, 27 Oct 2004 21:06:51 +1000 |
Content-Type: | text/plain |
Parts/Attachments: |
|
|
Drew
I took a different approach.
The prime factorization of 7560 is:
2 x 2 x 2 x 3 x 3 x 3 x 5 x 7
This means that the following numbers (letters) are
factors of 7560:
1 A
2 B
3 C
4 D
5 E
6 F
7 G
8 H
9 I
10 J
12 L
14 N
15 O
18 R
20 T
21 U
24 X
Therefore, only words containing these letters can be
encoded as 7560. However, there are still limitations
because of the need to multiply the numbers and make
7560.
I just used trial and error to identify LINE (12 x 9 x
14 x 5) as a 7560 word, and I'm sure that more time
would find more words. There is probably, however, an
elegant mathematical solution to the problem.
Cheers
David West
----------------------------------
In a certain code, each of the 26 letters of the
English alphabet is
represented by a number (A=1, B=2, C=3,... Z=26).
A word is then encoded by multiplying the numbers
that represent its letters.
For example, CAT is encoded by 3* 1* 20 = 60,
MATH is encoded by 13*1*20*8 = 2080.
Find a word that would be encoded as 7560
and explain how you found it.
Could there be other words?
If you can, name some.
Bonus: Find an encoded number that can
be deciphered as exactly one word.
Explain how this works
Find local movie times and trailers on Yahoo! Movies.
http://au.movies.yahoo.com
--
To terminate puerile preservation prattling among pals and the
uncoffee-ed, or to change your settings, go to:
<http://maelstrom.stjohns.edu/archives/bullamanka-pinheads.html>
|
|
|