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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

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14y ago
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9y ago

Composite numbers can have more than one factor tree. They can have as many factor trees as they have factor pairs minus one. They can't have more than one prime factorization.

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Q: What is the reason a number cant have two factor trees?
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Related questions

Why can you make several different factor trees for some numbers but only one or two factor trees for other numbers?

Bigger numbers make bigger factor trees, and of course there are prime numbers which cant be factored at all


Why cant you use 1 as a factor in a factor tree?

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.


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you cant take the GCF of one number


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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


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None. 291 is not divisible by 7 and so you cant have a whole number factor pair with 7


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