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.
When you want to find the prime factorization of a composite number.
Use a factor tree. 690 345,2 115,3,2 23,5,3,2
Example: 210 210 105,2 35,3,2 7,5,3,2 2 x 3 x 5 x 7 = 210
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.
No because you have to have a prime number besides 1 like 2,5,7 because every time you use a factor tree and you put a 1 as prime you keep getting one every time.So one can not be use as a factor when doing a factor tree.
Use a factor tree. 55 5,11
13 is already prime, no tree required.
15 23
22 2,11
When you want to find the prime factorization of a composite number.
Use a factor tree to break apart numbers.ie. 12...../ \....2 6....../ \.....2 3The prime factors of 12 are 2, 2, and 3.
Use a factor tree. 50 25,2 5,5,2
Use a factor tree. 186 93,2 31,3,2
Use a factor tree. 45 15,3 5,3,3
Use a factor tree. 98 49,2 7,7,2
Use a factor tree. 42 21,2 7,3,2
105 35,3 7,5,3