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.
If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.
A Factor Tree
factor tree
Prime factorization is factoring a number down to its prime numbers.Example: Prime factorization of 12 :123 x 43 x 2 x 2^ That is a factor treewhich shows theprime factorization
The prime factorization of 24 is 2x2x2x3 or 23x3.
The only name is factorization.
the prime factorization
3
A factor free is a diagram showing the prime factorization of a number.
If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.
23 is prime.
If the prime factorization contains a 5 and a 7, 35 is a factor.
factor tree
The prime factorization
1049 is a prime number; no factorization.
199 is a prime number; no factorization.
A Factor Tree