The prime factorization of a number is all of the prime numbers that make up a composite number.
All composite numbers can be expressed as unique products of prime numbers. The factorization 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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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.
When all the factors are prime numbers, that's a prime factorization.
a prime factorization tree
397 is a prime number, therefore prime factorization of 397 = 397.
Prime factorization of the number 54 is 2 x 33.
The prime factorization of the number 26 is: 2 x 13