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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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Q: How do you factor a number into its prime factors?
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What is composite factors?

A composite factor is a factor that is a composite number, as opposed to a prime factor which is a factor that is a prime number.


How you know that 2 is a prime factor?

2 is a prime number because its only factors are one and itself. Since 2 is a prime number, if it is a factor of your number, it is a prime factor.


Can 1 and the factor be used itself to be a factor tree?

The purpose of a factor tree is to divide a number into prime factors. 1 is not a prime number.


What are the factors and prime factor of 13?

13 is a prime number so the only factors are 1 and itself.


What is the prime factors of 43 as the gcf?

43 is a prime number. Its only prime factor is itself.

Related questions

What are the factors and prime factors of 1789?

1789 is a prime number and is its only prime factor. Its other factor is 1.


What is a common prime factor?

All numbers have factors. Some factors are prime numbers. A prime factor is a factor that is a prime number. A common prime factor is a prime factor that appears on the list of factors of two or more given numbers.


Is there a difference between in prime factors and factors?

Prime factors are factors that are prime. For example, 13 is a prime number and 13 is a factor of 26. So that means 13 is a prime factor.


Why a prime number cannot be written as a product of prime factors?

A prime number has only one prime factor, and that prime factor is the number itself.


What is common prime factors?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are common factors. If the factor is a prime number, it is a common prime factor. 3 is a prime number. 3 is a factor of 9. 3 is a factor of 12. 3 is a common prime factor of 9 and 12.


What is composite factors?

A composite factor is a factor that is a composite number, as opposed to a prime factor which is a factor that is a prime number.


Is 9 a prime factor?

9 is not a prime factor, but it does have one prime factor, which is three. Prime factors are factors of a number that are prime.


What number has only prime factors?

Since every number has 1 as a factor, and 1 is not prime, then no number has only prime factors.


How you know that 2 is a prime factor?

2 is a prime number because its only factors are one and itself. Since 2 is a prime number, if it is a factor of your number, it is a prime factor.


How do you express a number as the product of powers of its prime factors?

You factor the number into prime factors, dividing each prime out.


What group of number are all the whole number factors of a prime number?

There are exactly two whole number factors of any prime number. The first factor is '1'. The other factor is the prime number itself.


What are the prime factors of the number 5?

5 is a prime number. Its only prime factor is itself.