Well there are many ways to do it. This is just one. This might look weird but oh well.
720
/\
72 10
/\ /\
12 6 5 2
/\ /\
3 4 3 2
/\
2 2
So it breaks down into 72x10. Then 72 breaks into 12x 6 while 10 breaks to 5x2. Then 12 breaks into 3x4. 6 breaks into 3x2. 5 and 2 stay the same. Then 4 breaks into 2x2.
If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.
480 240,2 120,2,2 60,2,2,2 30,2,2,2,2 15,2,2,2,2,2 5,3,2,2,2,2,2
A Factor Tree
A factor tree is a representation of the process of finding the prime factorization of a given number.
factor tree
by using a prime factor tree
The prime factorization.
If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.
480 240,2 120,2,2 60,2,2,2 30,2,2,2,2 15,2,2,2,2,2 5,3,2,2,2,2,2
The only name is factorization.
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.
factor tree
1049 is a prime number; no factorization.
199 is a prime number; no factorization.
A Factor Tree
2x2x222
51 3,17