Comments on: A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number o

By: Pranil

Pranil — Fri, 05 Jun 2009 17:04:24 +0000

Dear finelear
Sorry, as I can not email you, I am contacting here.
Please explain the step below.
we find that sqrt(999^-999919)
= sqrt(81) = 9
If possible e-mail me for number factors of 24999 by this method.

By: finelearner

finelearner — Thu, 04 Jun 2009 08:43:32 +0000

Using fermat’s method find the Prime factor.
Now Let n = 999919 and square root is appx 1000
so i = 1000 , we find that sqrt(999^-999919)
= sqrt(81) = 9
Then 1000 - 9= 991 and 1000+ 9 = 1009
By multificaton we verify that 991*1009 = 999919
As Each cat killed more mice than the numebr of cats
Hence there were 991 cats and each cat killed 1009 mice.

By: ^K-A^

^K-A^ — Mon, 01 Jun 2009 13:07:14 +0000

It depends, I guess.
A number of cats “decided” to kill 999919 mice. It is unknown whether they did kill them all.

By: BB

BB — Fri, 29 May 2009 07:38:21 +0000

There were 991 cats, and each of them killed 1009 mice.

To check, 991*1009 = 999919

Solution:

Get the prime factorization of 999919
The prime factors are 991 and 1009 only

By: nwyrk2552

nwyrk2552 — Tue, 26 May 2009 01:15:01 +0000

991 cats each killed 1,009 mice.

By: armless_man

armless_man — Sat, 23 May 2009 04:40:58 +0000

There are 991 cats and they killed 1009 mice each

By: Bracha

Bracha — Fri, 22 May 2009 02:51:52 +0000

One?

First you must factorize 999919. But I haven’t found any factors of 999919 yet.

I think 1 is correct. Because the cat killed more mice (999919) than there were cats (1).

By: vijay

vijay — Tue, 19 May 2009 10:04:55 +0000

mice were too smart for cats. they all ran away