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3 x 5 x 5

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Q: Prime factor of 75 continuous division?
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What is the prime factorization of 75 using continuous division method?

5 ) 75 5 ) 15 3 ) 3 ---- 1 So the prime factors are 3 x 5 x 5


What is the prime factor of 60 and 75?

3 and 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.


Draw a factor tree for 900?

To draw a factor tree for 900, we start by dividing it by its smallest prime factor, which is 2. 900 ÷ 2 = 450 Next, we continue dividing the resulting quotient by its smallest prime factor. 450 ÷ 2 = 225 Now, we divide 225 by its smallest prime factor, which is 3. 225 ÷ 3 = 75 Finally, we have 75 left, and its only prime factor is itself. 75 ÷ 75 = 1 So, the factor tree for 900 is: 900 / 2 450 / 2 225 / 3 75 / 75


Highest common factor of 75 and 90?

That would be 15. Only a number ending in five would be a factor of 75. 45 is not. 35 is not. 25 is not. 15 is, and it also is a factor of 90. This makes it the highest common factor of 75 and 90, although it is not a prime factor.