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What numbers have a prime factorization of one number?

The only number that has only one factor is '1'. Every other number has at least two factors: '1' and itself. If there are no more than that, then the number is a prime number.


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.


Why do you say the prime factorization instead a prime factorization?

Saying "The" Instead of "A"The prime factorization is used instead of a prime factorization because there is only one correct prime factorization of any given number. Of course, that refers to composite numbers because prime numbers have no prime factorization.The use of the word "a" implies that more than one prime factorization is possible when it's not. The use of the word "the" signifies that only one prime factorization is possible, though there are various ways to arrive at it.


Find th greatest common factor of the numbers using prime factorization of 99?

You need at least two numbers to find a GCF. The prime factorization of 99 is 3 x 3 x 11. Once you have the other one, you can compare.


How many prime numbers are in the prime factorization of 361?

Only one - which is repeated.


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.


Is the prime factorization the same as the factor string?

Factor strings don't necessarily have to be composed entirely of prime numbers. But the longest factor string, the one that is entirely prime numbers, that's the prime factorization.


What is all the number less than 100 that hasat least one 2 and at least one 5 in their prime factorization at least one 2 and at least one 5?

All the even numbers and the odd multiples of 5.


What are all the numbers less then 100 that have at least one 2 and at least one 5 in there prime factorization?

10, 20, 30, 40, 50, 60, 70, 80, 90


What is the l.c.m of the prime factorization of 45?

The prime factorization of 45 is 3 x 3 x 5. To find an LCM it is necessary to compare and combine that prime factorization with at least one other.


What numbers less than 100 have at least one 2 and at least one 5 in their prime factorization?

10, 20, 30, 40, 50, 60, 70, 80, and 90.


What are all of the numbers less than 100 that have at least one 2 and at least one 5 in their prime factorization?

10, 20, 30, 40, 50, 60, 70, 80, 90