# What is a Factor Tree?

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A factor tree is a method of generating the prime factorization of a regular number. The primary step in developing a factor tree is to discover a couple of elements whose item is the number that we are calculating. These two components are the first expanding in the factor tree. There are regularly a few distinctive sets of variables that we could decide to start the process. The decision does not make a difference; we may start with any two components. We rehash the procedure with each one component until each one extension of the tree closes in a prime. At that point, the prime factorization is finished.

Recording the factor tree

There are two separate styles for recording the factor tree of a characteristic number. In the first style, when we acquire a prime number in one of the extensions, we round it and after that don’t chip away at that extension any more. On the off chance that a number at the end of the extension is still not prime (a composite), we discover two elements for that esteem. Proceed with this procedure until the worth at the end of each one limb is a circumnavigated prime number. The prime factorization is the result of the revolved around primes. A pattern of prime factors of 24 would be 2, 2, 2 and 3. A better approach to confirming the result is to reproduce it out and verify the item is 24. The accompanying illustration demonstrates this style further and shows how we may begin with an alternate pair of variables and still turn out with the same prime factorization for the natural number. Some individuals favor this strategy in light of the fact that each one level still duplicates to be the initial number, and by decreasing the primes, we are less inclined to miss them and let them well enough alone for our prime factor.