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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.
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How can you use prime factorization to know if two numbers are prime?
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.
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 a number greater than 100 have only 1 number in its prime fatorization?
No. Prime numbers (of any size) have only one prime factor, but that's not really a factorization.
Can a composite number have more than one prime factorization?
No, a composite number can't have more than one prime factorization.
How many prime numbers are in the prime factorization of 361?
Only one - which is repeated.
How is prime factorization different from finding factors of a number?
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
How can you use prime factorization to know if two numbers are prime?
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.
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.
What are the prime factors of 115?
Prime factorization of 115 is: 5x23 Prime factors are the prime numbers multiplied with each other that together form the original numerical value. Prime numbers are numbers that have no factors besides one and itself. The first prime number is 2, then 3, 5, 7, 11, 13, and so on. Sometimes one may have a number that has multiple same prime numbers for its prime factorization; for example the prime factorization of 256 is 2x2x2x2x2x2x2x2
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.
What is the longest prime factorization string for 239?
There is only one prime factorization string for each number, so there is not a "longest" one. Since 239 is a prime number, its prime factorization is 239.
Is it true that the prime factorization of any composite number includes three or more prime numbers?
no, for example the prime factorization of 4 is,{2,2} it only has two factors and one unique factor 2
Can a number greater than 100 have only 1 number in its prime fatorization?
No. Prime numbers (of any size) have only one prime factor, but that's not really a factorization.
Can a composite number have more than one prime factorization?
No, a composite number can't have more than one prime factorization.
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.
