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.
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
Whatever you use, 59 is a prime number. Its only prime factor is itself.
3 could be a prime factor but it depends on which number you're trying to find the prime factors of.
You divide by one prime after another until you find a factor. Then you repeat the process with the quotient, starting with that factor.You divide by one prime after another until you find a factor. Then you repeat the process with the quotient, starting with that factor.You divide by one prime after another until you find a factor. Then you repeat the process with the quotient, starting with that factor.You divide by one prime after another until you find a factor. Then you repeat the process with the quotient, starting with that factor.
2
Use a factor tree. 55 5,11
1,270,2,135
Find the prime factorization. Identify the distinct prime factors. Add them up.
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prime factors
The prime factorization.