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Q: What is the square root of 729 using prime factorization method with steps?

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255 85,3 17,5,3 3 x 5 x 17 = 255

Since 62 is even, divide by 2. Since the result is prime, stop. 2 x 31 = 62

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630 315,2 105,3,2 35,3,3,2 7,5,3,3,2 2 x 3 x 3 x 5 x 7 = 630

There are two popular methods to answer greatest common factor questions. The traditial method has to do with listing all the factors of each number. This can take a long time and become very tasking. The method I will show you for this problem is using the prime factors each number has in common. Steps: 1. First use a tree diagram to find the prime factorization of each number. Prime factorization for 35: 5*7 Prime factorization for 225: 3*3*5*5 2. Find the prime factors that each number has in common. For this problem they only have on pair of prime factors which is 5. Since there is only one pair, 5 is the GCF (greatest common factor). 3. In other situations where there are more than one pair of prime factors, multiply them together. For example, the pairs of common prime factors from 225 and 750 are 3, 5, and 5. So the GCF of 225 and 750 will be 75 as a result of multiplying 3*5*5.

Start with 2. Attempt to divide the number by 2. If it goes evenly, try again. Count the number of times 2 goes into the number. Repeat with 3, and then 5, 7, 11, etc., i.e. all the primes until the prime you are trying is greater than the square root of the number.

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.

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describe steps of scientific method

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.

Scientific method steps: -Purpose -Research -Hypothesis -Experiment -Analysis -Conclution

yes

Theoryhypothesesobservationconfirmation

six steps

it doesn't come out

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The steps in an experiment are called the Scientific Method.

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The Scientific method or list is a series of steps of scientists take to natural world.