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.
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Many people find factor trees to be the easiest.
With a factor tree, yes.
If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.
Some people find factor trees to be helpful. 75 25,3 5,5,3 160 80,2 40,2,2 20,2,2,2 10,2,2,2,2 5,2,2,2,2,2
7,2,2 14,2 28