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Q: How many prime factorizations can one number have?
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How many prime factorizations does every number have?

Every prime number has exactly 2 factors, 1 and the number itself.


How many prime factorizations does each number have?

it should just have 2 numbers


How many prime factorizations of 64 can there be?

i believe, there can only be one.


Where in maths are prime numbers used?

Prime factorizations, for one example.


Why isn't it possible for a composite number to have more than one prime factorization?

Prime factorizations are unique. If you change the prime factorization, you change the number.


What number only has 1 number in prime factorization?

Prime numbers only have one prime factor. Prime factorizations have at least two. Sometimes they're the same number (2 x 2 = 4) so we could say it has one distinct prime factor.


Can negative numbers have prime factorizations?

No. Any factor string of a negative number would have to include at least one negative number and there aren't any negative prime numbers.


What is a number that has prime factorizations with 3 distinct factors?

There are infinitely many possible answers. One such is 1001 = 7*11*13


What are the prime factorizations for 55?

Apart from the order of the factors, prime factorisation of any number is unique so there can be only one answer. 55 = 5 * 11


What is the GCF of 61 and 73 using prime factorizations.?

61 and 73 are both prime numbers. Prime numbers don't have prime factorizations since they only have one prime factor. The GCF of any set of different prime numbers is 1, since they don't have any prime factors in common.


How do you slove prime factorizations?

To solve prime factorizations, divide a composite number by prime numbers until all the factors are prime. Many people like to use a chart of some kind to help visualize the process. One kind is a factor tree. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. 2 x 3 x 5 x 7 is the prime factorization of 210.


Why woul you determine prime factorization of only composite numbers?

Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.