The prime factorization of 36 is 2 x 2 x 3 x 3
We can see that 2, 3, 4 and 6 are factors of 36. Dividing those numbers into 36 will give you the rest of the factor pairs.
(36, 1) (18, 2) (12, 3) (9, 4) (6, 6)
The prime factorization of 612 is 2 x 2 x 3 x 3 x 17 The factor pairs of 612 are (612,1)(306,2)(204,3)(153,4)(102,6)(68,9)(51,12)(36,17)(34,18)
Greatest Prime Factor of 70The prime factorization of 70 is 2 X 5 X 7, so the greatest prime factor in the prime factorization of 70 is 7.
467 is a prime number having no prime factor other than 467.
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.
The prime factorization of 85 is: 5 x 17
The prime factorization of 100 is 2x2x5x5. There are no pairs of prime factorization with a difference of two in the number 100.
The prime factorization of 558 is 2 x 3 x 3 x 31 The factor pairs of 558 are (558, 1)(279,2)(186,3)(93,6)(62,9)(31,18)
The prime factorization of 612 is 2 x 2 x 3 x 3 x 17 The factor pairs of 612 are (612,1)(306,2)(204,3)(153,4)(102,6)(68,9)(51,12)(36,17)(34,18)
Greatest Prime Factor of 70The prime factorization of 70 is 2 X 5 X 7, so the greatest prime factor in the prime factorization of 70 is 7.
3 is a prime factor of 72 and is contained in the prime factorization.
467 is a prime number having no prime factor other than 467.
A factor rainbow is a method to determine a prime factorization.
the prime factorization
The greatest prime factor they have in common is 2.
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.
The prime factorization pair of 26 is 2 and 13.
Since 72 is a factor of 144, its entire prime factorization will be contained in the prime factorization of 144.