- #1
MonkeyKid
- 25
- 0
First of all, pardon me for my poor English, which is even worse for mathematics.
As an answer to my question, I think it does have all the factors n has. But I can't write mathematical proof of it, and so I can't make that statement. It's probably easy. I can write that in the opposite direction though:
let a, b, c, ..., z be the factors of N:
(a * b * c * ... * z) = N
then
(a * b * c * ... * z)² = N²
(pretty simple thinking)
but I can't write that in the other direction... I mean, beginning with N² and it's factors, conclude that it has at least all the factors N has.
As an answer to my question, I think it does have all the factors n has. But I can't write mathematical proof of it, and so I can't make that statement. It's probably easy. I can write that in the opposite direction though:
let a, b, c, ..., z be the factors of N:
(a * b * c * ... * z) = N
then
(a * b * c * ... * z)² = N²
(pretty simple thinking)
but I can't write that in the other direction... I mean, beginning with N² and it's factors, conclude that it has at least all the factors N has.