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A Prime number has no factors other than 1 and the number itself. If prime factorization of a number reveals one or more additional prime factors, the number is a composite.

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Q: How can you use prime factorization to know if two numbers are prime?
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Related questions

How many prime numbers are in the prime factorization of 50?

Two.


How can you use prime factorization to determine if two numbers are relatively prime?

Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.


Can two numbers have the same prime factorization?

No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.


How many different prime numbers are in the prime factorization of 21?

Two.


What are two prime numbers for 64?

The prime factorization of 64 is 2x2x2x2x2x2 or 26. 2 is the only prime number in the factorization of 64.


Prime factorization of 1 4?

The prime factorization of 14 is 2 x 7. Prime factorization is multiplying two prime numbers by each other to get the original number.


Is prime factorization always useful in finding LCM?

Most of the time. If you can recognize that the two numbers are relatively prime, factorization isn't necessary. Just multiply the two numbers together.


How can you use the prime factorization of two numbers to determine whether they are relative prime?

If the prime factorizations have no prime factors in common, the numbers are relatively prime.


Does the number 1 have a prime factorization?

no. Prime numbers have to have two, and only two, factors: 1 and itself.


What 2 prime numbers go into 75?

3 and 5 are the two prime numbers which go into 75. In order to know what prime numbers go into any composite number then prime factorization of the number should be done. Let us consider the case of 75, its prime factorization is 3x5x5. As we can see there are three prime factors out of which two are distinct(3 and 5) so, 3 and 5 are the only prime factors.


What two numbers between two and fifty have three different numbers in their prime factorization?

30 and 42


What are two numbers whose prime factorization includes the numbers two three and five?

30 and 60