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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 identify a correct prime factorization?
First, make sure all the factors are, in fact, prime. Then make sure that the product of all the factors is the number you wanted to factor.
Which shows all the factors of a prime number?
The number 1 and the prime number itself.
What prime numbers are prime number?
All numbers that only have one and itself as factors are prime. Therefore, to tell if a number is prime simply find it's factors. If it has more than two factors than it is not a prime number.
What are all of the factors of a prime number?
It is always 1 and the prime number itself.
What is prime factorizasion?
Prime factorization is when you find all the prime factors of a number.
How do you identify a correct prime factorization?
First, make sure all the factors are, in fact, prime. Then make sure that the product of all the factors is the number you wanted to factor.
Would you rather find all the factors of a number or find all the prime factors of a number?
Once all the prime factors of a number have been found, the number of factors the number has and what they are can be found. I'd be finding the prime factors first before finding all the factors of a number, so I'd rather find all the prime factors as it means I can stop before I have to do more work in finding all the factors.
What is the difference between factors of a number and prime factors of a number?
All numbers have factors. Some factors are prime numbers. These are known as prime factors. The set of prime factors is a subset of the set of factors for any given number.
What are all the prime factorizations?
You cannot list all the potential prime factors. Any prime number can be a prime factor. There are an infinite number of prime numbers, so there are an infinite number of potential prime factors. If given a specific number, the prime factors for it can be listed.
What is a prime factor of twelve?
To find the prime factors all you need to do is find all factors, and identify which ones are prime numbers. 12=1*12=2*6=3*4 factors=1,2,3,4,6,12 Prime numbers can only be divided by 1 and the number itself. Thus the prime factors of 12 are 2 and 3 (1 is, by definition, not prime (i'm not exactly sure how to explain why))
How is prime factorization different from finding factors of a number?
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
What prime number has only 2 factors?
All prime numbers have only 2 factors. A prime number has 1 and itself as its only factors.
Will you get the same number of factors if you multiply a prime number by itself?
All prime squares have three factors.
What number has all prime factors?
There is no such number. All numbers have a common factor of 1, which is neither prime nor composite. Any composite number can be reduced to its prime factors.
Which shows all the factors of a prime number?
The number 1 and the prime number itself.
What lists all the prime factors for a number?
The prime factorization.
What is all of the factors of 23?
As 23 is a prime number, it has only two factors, the number one and itself. The factors of 23 are: 1 23 The prime factors are: 23 is a prime number.
