Example: 210
210
105,2
35,3,2
7,5,3,2
2 x 3 x 5 x 7 = 210
When you want to find the prime factorization of a composite number.
The purpose of a factor tree is to divide a number into prime factors. 1 is not a prime number.
19 is already prime; no need for a tree.
When the bottom branch consists entirely of prime numbers.
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210. The largest of those numbers is the largest prime factor.
factor tree
If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.
Their at the bottom of the tree because the hole point of a factor tree is to find the prime factorization of the number, so it would be at the bottom of the tree.
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.
When you want to find the prime factorization of a composite number.
The purpose of a factor tree is to divide a number into prime factors. 1 is not a prime number.
Use a factor tree. 98 49,2 7,7,2
Whatever composite number you're trying to find the prime factorization of.
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.
13 is a prime number so it doesn't have a factor tree.