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Could you give me examples of how prime factorization works such as42 17?
Wiki User
∙ 11y ago
4217 is a Prime number because it has only two factors which are itself and one
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∙ 11y ago
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How do you find the prime factorization of any number?
Prime Factorization "Prime Factorization" is finding which prime numbers you need to multiply together to get the original number. Example 1 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6 But 6 is not a prime number, so we need to factor it further: 6 ÷ 2 = 3 And 3 is a prime number, so: 12 = 2 × 2 × 3 As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3 Example 2 What is the prime factorization of 147? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49 Then we try factoring 49, and find that 7 is the smallest prime number that works: 49 ÷ 7 = 7 And that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7 = 3 × 72
How do you make a factorization tree of 250?
What you have to do is find something that can make 250. For example you can do 2 times 125. Then you continue to break down the numbers. The thing is that if you have a prime number you end that branch. THen you continue until all the branches are cut off. Once you do that you have a factorization tree for 250 and this works for any number. Your Welcome!
How do you find the prime factorizatoin of a number?
Prime Factorization "Prime Factorization" is finding which prime numbers you need to multiply together to get the original number. Example 1 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6 But 6 is not a prime number, so we need to factor it further: 6 ÷ 2 = 3 And 3 is a prime number, so: 12 = 2 × 2 × 3 As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3 Example 2 What is the prime factorization of 147? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49 Then we try factoring 49, and find that 7 is the smallest prime number that works: 49 ÷ 7 = 7 And that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7 = 3 × 72
What is a prime factorization that contains 3s and 5s and its more than 200 but less than 225?
There are none: 3x5=15 32 x5=45 33 x5=135 34 x5=405 3x52 =75 3x53 =375 32 x52 =225 and you wanted less than 225. No combination of 3's and 5's works.
How do you find a prime number on a calculator?
actually I'm not sure that you can do it on a calculator or not. I think the only way is deviding untill the half of the number. But I recently have found a great site that works as calculator and it can help you to understand a number is prime or not. Go to prime-calculator dot com.
What does product of their prime factors mean?
Expressing a number as a "product of its prime factors" is also known as the prime factorization. To find the prime factorization, keep dividing a number by prime numbers until all the factors are prime. You can also use a factor tree or rainbow or fireworks or whichever method works best for you. Example: 330 330 165,2 55,3,2 11,5,3,2 2 x 3 x 5 x 11 = 330, expressed as a product of its prime factors.
How can you find the prime factorization of numbers?
Prime Factorization "Prime Factorization" is finding which prime numbers you need to multiply together to get the original number. Example 1 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6 But 6 is not a prime number, so we need to factor it further: 6 ÷ 2 = 3 And 3 is a prime number, so: 12 = 2 × 2 × 3 As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3 Example 2 What is the prime factorization of 147? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49 Then we try factoring 49, and find that 7 is the smallest prime number that works: 49 ÷ 7 = 7 And that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7 = 3 × 72
How do you find the prime factorization of any number?
Prime Factorization "Prime Factorization" is finding which prime numbers you need to multiply together to get the original number. Example 1 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6 But 6 is not a prime number, so we need to factor it further: 6 ÷ 2 = 3 And 3 is a prime number, so: 12 = 2 × 2 × 3 As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3 Example 2 What is the prime factorization of 147? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49 Then we try factoring 49, and find that 7 is the smallest prime number that works: 49 ÷ 7 = 7 And that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7 = 3 × 72
What are the factor examples of 100?
the factor examples of 100 are: 1, 2, 4, 5, 20, 25, 50 and 100. there could be more, but these are the only ones i know. i hope this advice works for u and don't cheat now!!!! but u can i u want 2If you are asking for the prime factorization of 100... then you would want to factor 100 using various methods. The easiest of which would be a factor tree: 100 10 10 2 5 2 5 Therefore the list of prime factors for 100 would be: 2*2*5*5 or 22*52
What is the product of 60 using prime factors?
Finding the Prime Factorization of 66To find the prime factorization of 66, find the lowest prime number that will divide evenly into 66. Since 66 is an even number, that number will be 2. Find the number which when multiplied by 2 equals 66. The number is 33. Write it down like this:2 X 33 = 662 is one of the prime factors of 66, but 33 is a composite number and must be factored. Find the lowest prime number that divides evenly into 33. The number cannot be 2 because 33 is an odd number. 3 is the lowest prime number that will divide evenly into 33. The number that when multiplied by 3 equals 33 is 11. Write it like this, keeping the 2 from the previous factorization:2 X 3 X 11All the factors are now prime numbers, so the prime factorization of 66 is:2 X 3 X 11This is one method that works for finding the prime factorization of any composite number.
How do you find the prime factors of numbers?
Prime Factorization "Prime Factorization" is finding which prime numbers you need to multiply together to get the original number. Example 1 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6 But 6 is not a prime number, so we need to factor it further: 6 ÷ 2 = 3 And 3 is a prime number, so: 12 = 2 × 2 × 3 As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3 Example 2 What is the prime factorization of 147? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49 Then we try factoring 49, and find that 7 is the smallest prime number that works: 49 ÷ 7 = 7 And that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7 = 3 × 72
What is the formula of finding a prime factor of a number?
Prime Factorization "Prime Factorization" is finding which prime numbers you need to multiply together to get the original number. Example 1 What are the prime factors of 12? It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6 But 6 is not a prime number, so we need to factor it further: 6 ÷ 2 = 3 And 3 is a prime number, so: 12 = 2 × 2 × 3 As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3 Example 2 What is the prime factorization of 147? Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49 Then we try factoring 49, and find that 7 is the smallest prime number that works: 49 ÷ 7 = 7 And that is as far as we need to go, because all the factors are prime numbers. 147 = 3 × 7 × 7 = 3 × 72
How do you make a factorization tree of 250?
What you have to do is find something that can make 250. For example you can do 2 times 125. Then you continue to break down the numbers. The thing is that if you have a prime number you end that branch. THen you continue until all the branches are cut off. Once you do that you have a factorization tree for 250 and this works for any number. Your Welcome!
How do you test whether a number is a prime or not?
Their are many ways one that some times works is test those answers if prime are Mersenne primes. Or you could google"Is (put the questionable number here)prime?"
Where does a prime minister work?
The Prime Minister works in the Parliament, House of Commons and Senate
Examples of copyrighted and not copyrighted?
Three examples of a Copyright are Literacy works, Musical works, & Dramatic works.Three examples of a NON-Copyright are Titles&Names, Ideas, & Fashion.
Examples of aggregates used in concrete works?
Examples of aggregates used in concrete works are,Gravel.river Sand.Quarry sand.Brick bats.Granular slag.poultry sand.Limestone Aggregate
