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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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What is the process that identifies only the prime factors of a number?
prime factorization
What is the prime factorization of 313?
The number 313 is a prime number, which means it is only divisible by 1 and itself. Therefore, the prime factorization of 313 is simply 313 x 1. Prime factorization is the process of breaking down a number into its prime factors, but since 313 is already a prime number, it cannot be further factored.
Prime Factorization of 800?
The prime factorization is... 2x2x2x2x2x5x5
How do you write out the prime factorization of a prime number?
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
Can a number greater than 100 have only 1 number in it's prime factorization?
Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.
