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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.
What else can I help you with?
Is prime factorization an NP-complete problem?
Yes, prime factorization is not an NP-complete problem. It is in fact in the complexity class NP, but it is not known to be NP-complete.
What is the prime factorization tree of 194?
194 2 x 97 Since both 2 and 97 are prime numbers, the prime factorization tree is complete.
Can you explain why the prime factorization of 42 is 21 2?
In actual fact, the prime factorization of 42 is not 21 x 2, as 21 is not a prime number. The complete prime factorization of 42 is 2 x 3 x 7.
How can you use prime factorization to determine if two numbers are relatively prime?
Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.
When is Factor tree in prime factorization is complete?
When the bottom branch consists entirely of prime numbers.
What is the complete prime factorization of 45?
As product of its prime factors: 3*3*5 = 45
What is the prime factiorazation of39?
The prime factorization of 39 is 3 and 13, as both are prime numbers. This means that 39 can be expressed as (3 \times 13). There are no other prime factors involved, making this the complete factorization.
How would you complete a prime factorization tree for 1220?
1220 610,2 305,2,2 61,5,2,2
What are the complete prime factorization of 231 using exponents?
231 = 31*71*111
What is the complete prime factorization of 154 without exponents?
the prime facotrization of 154 is 12 times 3 times 5
Is 3x5x4 a prime factorization of 60?
No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.
What makes a factorization of a number a prime factorization?
When all the factors are prime numbers, that's a prime factorization.
