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The purpose of a factor tree is to notate the process of finding the prime factorization. If a number is already prime, a factor tree is not necessary.

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Q: How do you write a factor tree for a prime number?

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a factor tree

A factor tree.

The purpose of a factor tree is to divide a number into prime factors. 1 is not a prime number.

726 363,2 121,3,2 11,11,3,2

199 is a prime number. It does not have a tree since it only has one prime factor, itself.

19 is prime. No tree.

23 is a prime number. No prime factorization. No tree.

There is no factor tree nor factors of 57 as it is a prime number.

13 is a prime number so it doesn't have a factor tree.

Every composite number has its own unique tree, so I guess the answer is all numbers have one tree. Perhaps you meant one branch or one factor. Prime numbers only have two factors, one of them is prime, so if you try to do a factor tree with a prime number, it stops the second you write the number down. And then there's one. One only has one factor, so we won't even bother with a tree. We'll call it a factor twig.

13 is a prime number. It doesn't have a tree because its only prime factor is itself.

The bottom branch of a factor tree consists entirely of prime numbers.