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Can a composite number have more than one prime factorization?
No, a composite number can't have more than one prime factorization.
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 is the prime factorization of 1 and 125?
One doesn't have a prime factorization. The prime factorization of 125 is 5 x 5 x 5.
What is the gfc of 45 and 75?
GCF stands for Greatest Common Factor. This means that the GCF of 45 and 75 will be the greatest common factor of 45 and 75. The prime factorization of 45 is 3^2*5. Thus, a number is a factor of 45 if and only if it does not have more than 2 3s in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. The prime factorization of 75 is 3*5^2. Thus, a number is a factor of 75 if and only if it does not have more than one 3 in its prime factorization, more than 2 5s in its prime factorization, or any other prime factor. Combining those two conclusions together, we get that if a number is a common factor of 45 and 75 if and only if it does not have more than one 3 in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. Since multiplying by a 3 or a 5 will only increase the value of a number, there is no reason to not include them. Thus, the GCF of 45 and 75 is 3*5 or 15.
Is it possible for a composite number to have more than one prime factorization?
No.No.
Can a composite number have more than one prime factorization?
No, a composite number can't have more than one prime factorization.
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.
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 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.
What is the prime factorization of 1 and 125?
One doesn't have a prime factorization. The prime factorization of 125 is 5 x 5 x 5.
What is the gfc of 45 and 75?
GCF stands for Greatest Common Factor. This means that the GCF of 45 and 75 will be the greatest common factor of 45 and 75. The prime factorization of 45 is 3^2*5. Thus, a number is a factor of 45 if and only if it does not have more than 2 3s in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. The prime factorization of 75 is 3*5^2. Thus, a number is a factor of 75 if and only if it does not have more than one 3 in its prime factorization, more than 2 5s in its prime factorization, or any other prime factor. Combining those two conclusions together, we get that if a number is a common factor of 45 and 75 if and only if it does not have more than one 3 in its prime factorization, more than one 5 in its prime factorization, or any other prime factor. Since multiplying by a 3 or a 5 will only increase the value of a number, there is no reason to not include them. Thus, the GCF of 45 and 75 is 3*5 or 15.
What is the prime factorization of twenty one?
The prime factorization of 21 is: 3 x 7
Is it possible for a composite number to have more than one prime factorization?
No.No.
How do you express the prime factorization using exponents?
When prime factorization reveals more than one multiplicand or multiplier having the same value, group those prime factors together exponentially. For example, the prime factorization of 288 is 2x2x2x2x2x3x3, which is 25x32 in exponential form.
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.
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
Why do you say the prime factorization of 100 instead of a prime factorization of 100?
Because 100 only has one prime factorization.Because each composite whole number has a unique prime factorization.
