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How can you use prime factorization to find the other factor pairs of 36?
Wiki User
∙ 6y ago
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)
Wiki User
∙ 6y ago
Wiki User
∙ 7y ago2 x 2 x 3 x 3 = 36
All of the factors are in there. 2, 3, 4, 6
Divide those into 36. List them in pairs.
(36, 1) (18, 2) (12, 3) (9, 4) (6, 6)
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What is the greatest prime factor in the prime factorization of 70?
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When you expand a number into a prime factor it's called?
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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.
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