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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 467?
467 is a prime number having no prime factor other than 467.
Can a composite number have more than one prime factorization?
No, a composite number can't have more than one prime factorization.
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.
Can you have more than one prime factorization of any composite number?
Yes you can just do a factor tree and then you will find out.Thank you for asking that question. I hope the answer satisfied you.(:
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.
Explain how you can make more than one factor tree to show the prime factorization for the number 16?
by using a prime factor tree
What is the largest prime factor of a composite number?
Each composite number has its own unique prime factorization. The largest number in that factorization would be the largest prime factor. It will never be more than half of the original number.
What is the prime factorization of 467?
467 is a prime number having no prime factor other than 467.
Can a composite number have more than one prime factorization?
No, a composite number can't have more than one prime factorization.
How did 36 48 and 60 got the prime factor 12?
The prime factorization of 36 is 2 x 2 x 3 x 3The prime factorization of 12 is 2 x 2 x 3
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.
What is the greatest common factor of 21 35 and 81?
The GCF of 21, 35, and 81 is 1. The prime factorization of 21 is 3*7 The prime factorization of 35 is 5*7 The prime factorization of 81 is 3*3*3*3 So they have no common factor other than 1, which is the GCF.
Can you have more than one prime factorization of any composite number?
Yes you can just do a factor tree and then you will find out.Thank you for asking that question. I hope the answer satisfied you.(:
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 is the greatest common factor of 4 7 and 28?
The GCF of 4, 7, and 28 is 1.The prime factorization of 4 is 2*2.The prime factorization of 7 is 1*7.The prime factorization of 28 is 2*2*7.The have no common factor other than 1, so that is their GCF.
What is the prime factorization of all even numbers?
Because the Fundamental Theorem of Arithmetic specifies that every integer greater than 1 has its own unique prime factorization, it is impossible to specify what each of these prime factorizations is, however, it is true that the prime factorization of every even number includes the number 2 as the lowest prime factor.
