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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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Wiki User

9y ago
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11y ago

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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Wiki User

8y ago

Use a factor tree.

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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Wiki User

12y ago

You can not factor prime numbers, that is why they are prime numbers

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Wiki User

10y ago

Prime factorization is a common mathematical tool. One uses prime factorization to determine what prime factors of any given number are. One can practice this tool online.

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lenpollock

Lvl 15
1y ago

The whole point of Prime number is that it CANNOT be factored , except by itself or '1'.

Numbers that can be factored are referred to as compound numbers.

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Q: How do you break down prime factorization?
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Related questions

What does the word prime factorization?

That's two words and it means to break down a composite number into the product of its prime factors.


What can 96 break down to?

Stuck on prime factorization?Well,if you need to break down 96 just try 30,32,and 33.Did you get 32 ?If you did then that's correct.


What is the prime factorization of 13 broken down?

13 is already prime. No factorization.


Prime factorization of a given number?

Prime factorization is factoring a number down to its prime numbers.Example: Prime factorization of 12 :123 x 43 x 2 x 2^ That is a factor treewhich shows theprime factorization


What does 34 break in prime factorization?

2 x 17 = 34


What are the prime factorization for 12?

2 3 2 because 6*2=12,2 is prime so break down 6 to 3*2=6 so all numbers are prime now, 232


What is the prime factorization for 25?

Prime Factorization means you ask yourself what two numbers multiplied is 25?5 x 5 = 25so the first break down is 25 = 5 x 55 can not be divided any further, it is a prime number.so the answer is 5 and 5Prime factorisation for is 5* 5.


What does prime factorization have to do with exponents?

Once you break a number down to prime factors, you can group together the factors that are the same. For example,... 200 = 2 * 2 * 2 * 5 * 5 = 23 * 52


Definition of prime factorization?

The breaking down of a composite number into its prime number factors.


Dividing a number down into its primes is called?

The prime factorization.


How do you get the prime factorization for 180?

break it up. 45 times 4 is 180. break 45 up. 15 times 3. three is prime. break up 15. 3 times 5. three is prime and so is 5.break up 4. 2 times 2.the prime factorization of 180 is 2 to the second power times 3 to the second power times 5.


First prime number?

The first prime number is 2. If you're wondering why 1 is not prime, well, probably because you cannot break a number down if you divide it by 1. When it comes to prime factorization, if you bring 1 into it, the number you start with will stay the same (e.g., If you star a "prime factorization tree" for 100 and start off with 1, you will still have 100. You do not "grow" another "branch.")