The proof looks fairly complicated; if you want to try to understand it, you can find a discussion and proof (or outline of proof?) here:
http://en.wikipedia.org/wiki/Fundamental_theorem_of_arithmetic
Bigger numbers make bigger factor trees, and of course there are prime numbers which cant be factored at all
Factor trees are intended to find prime factors, one isn't prime. The process of factoring is intended to break down the number. Since factoring out one still leaves the original number, it isn't useful.
you cant take the GCF of one number
37 is a prime number so it cant be broken into a factor tree. its only factors are 37 and 1
radical 231; no perfect squares factor into this number. It cant be simplified
293 is a prime number, therefore the prime factorization of it would be 293, you cant do 293x1 because 1 is NOT a prime number therefore you cant do it because it wouldn't b a prime factorization that is your answer
None. 291 is not divisible by 7 and so you cant have a whole number factor pair with 7
you cant
you cant factor this any more
no a factor is something smaller than can go into the larger number so 4 is a factor of 8 (it cant be the other way around) 8 is an expansion of 4. this means 4 and another number/s can be multiplied together to result in 8
you mean sepulchure? lol, you cant, for the simple reason there isn't one.
its 1 n reason u find it cuz i cant explain ,its 2 long.