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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.
What is the difference between a factor string and prime factorization?
A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.
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.
What number has 2x2x2x2x3 as its prime factorization?
The only number with that prime factorization has to be 48.
What are the prime numbers. between 81 and 90?
The only prime numbers between 81 and 90 is... 83
Does a prime factorization have to have only 2 numbers?
No.
Is 3x5x4 a prime factorization of 60?
No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.
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.
How many prime numbers are in the prime factorization of 361?
Only one - which is repeated.
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.
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.
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.
Can a number over 100 only have 1 in its prime factorization?
1 is not a prime number, so it wouldn't be present in any prime factorization. Prime numbers don't really have factorizations, that is, the factorization is the number itself. There are prime numbers greater than 100.
What kind of numbers must always use with a prime factorization?
Only composite numbershave prime factorizations. Prime factorizations must consist of only prime numbers.
Can 2 numbers have the same prime factorization?
Only if they're the same number. Every composite number has a unique prime factorization.
Prime factorization with only three numbers?
That's an infinite list.
What are the common prime factors of 27 and 117?
The common prime factors of 27 and 117 are the prime numbers that can divide both 27 and 117 without leaving a remainder. The prime factorization of 27 is 3 x 3 x 3, and the prime factorization of 117 is 3 x 3 x 13. The only common prime factor between 27 and 117 is 3, as it is the only prime number that appears in the factorization of both numbers.
