# fenders

• June 24th 2006, 03:06 PM
bardo
fenders
choose a number say 156
its factors are 1,2,3,4,6,12,13,26,39,52,156
grouped by last digit (1) (2,12,52) (3,13) (4) (6,26,156) (78) (39)

We say the FENDERS (factor enders) of 156 are 1,2,3,4,6,8,9 &that 156 is a 7-fender (it has seven fenders)
A) Show that a number which has 0 & 9 as fenders has at least four more fenders.
B) Find 3 9-fenders less than 1000 with different sets of fenders?
I know 900 is one(0,1,2,3,4,5,6,8,9) & 420 is another (0,1,2,3,4,5,6,7,8) but can't find another?
• June 24th 2006, 03:12 PM
Quick
This strange and agruably pointless problem has already been answered here .

Also...

(B) 630 (0,1,2,3,5,6,7,8,9)
• June 24th 2006, 04:43 PM
bardo
fenders
Quote:

Originally Posted by Quick
This strange and agruably pointless problem has already been answered here .

Also...

(B) 630 (0,1,2,3,5,6,7,8,9)

630 is a 10 fender (45*14) so still need help
• June 24th 2006, 05:52 PM
malaygoel
Quote:

Originally Posted by Quick
This strange and agruably pointless problem has already been answered here .

Also...

(B) 630 (0,1,2,3,5,6,7,8,9)

Help, how 630 is a 8 fender?

KeepSmiling
Malay
• June 24th 2006, 06:28 PM
bardo
Quote:

Originally Posted by malaygoel
Help, how 630 is a 8 fender?

KeepSmiling
Malay

35*18 gives 630
• June 24th 2006, 07:04 PM
malaygoel
Quote:

Originally Posted by bardo
B) Find 3 9-fenders less than 1000 with different sets of fenders?
I know 900 is one(0,1,2,3,4,5,6,8,9) & 420 is another (0,1,2,3,4,5,6,7,8) but can't find another?

It is 270(0,1,2,3,5,6,7,8,9)
KeepSmiling
Malay
• June 24th 2006, 07:08 PM
Quick
Quote:

Originally Posted by malaygoel
It is 270(0,1,2,3,5,6,7,8,9)
KeepSmiling
Malay

Nope... $54\times5=270$

There must be some sort of method we are missing, surely a teacher wouldn't make you guess and pick.
• June 24th 2006, 08:47 PM
bardo
Quote:

Originally Posted by Quick
Nope... $54\times5=270$

There must be some sort of method we are missing, surely a teacher wouldn't make you guess and pick.

980 is the other 9 fender with 0,1,2,4,5,6,7,8,9
• June 25th 2006, 12:40 AM
CaptainBlack