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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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How do you do prime factor decomposition?
find the pime fatorasion
Is 3 a prime factor?
3 could be a prime factor but it depends on which number you're trying to find the prime factors of.
How do you find the largest prime factor of a number?
Suppose you have a number N and you want to find its largest prime factor. It is probably easiest to start at the bottom.Find the smallest prime factor, p.Find its factor pair = N/p.If the second number (= N/p) is a prime, then it is the largest prime factor.if not, replace N by N/p and go back to the top.
How do you find the factor for 73?
73 is a prime number. A prime number has only two factors, one and the number itself.
How can making a factor tree help you find 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.
