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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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Continue Learning about Math & Arithmetic
What makes a factorization of a number a prime factorization?
When all the factors are prime numbers, that's a prime factorization.
What is a diagram that shows the prime factorization of a number?
a prime factorization tree
What is the prime factorization of 397?
397 is a prime number, therefore prime factorization of 397 = 397.
Prime factorization for the number 54?
Prime factorization of the number 54 is 2 x 33.
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