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What is a factor tree and how can it help you find prime factors?
Wiki User
∙ 11y ago
A factor tree is a way to notate the process of finding the prime factorization. Put the number you're trying to factor at the top and start breaking it down. When all the factors are prime, stop.
210
105,2
35,3,2
7,5,3,2
2 x 3 x 5 x 7 = 210
Wiki User
∙ 11y ago
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How do you find the greatest common factor of 45 using prime factorization?
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.
What we know about prime and common factors help us find the of two or more numbers?
greatest common factor, or GCF
What we know about prime and common factors help us to find the of two or more numbers.?
The answer depends on what it is of two or more numbers that you wish to find.
How do you find the greatest common factor of 30135 using prime factorization?
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factorization of 30135 is 3 x 5 x 7 x 7 x 41. The prime factorization of 98 is 2 x 7 x 7. The prime factors they have in common are 7 and 7, so the greatest common factor is 7 x 7 = 49.
What is the prime factorization and the greatest common factor of 2456?
The prime factorization of 2456 is 2 x 2 x 2 x 307. There is not a greatest common factor. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Examples: The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factors it has in common with 2456 are 2 and 2, so the greatest common factor is 2 x 2 = 4. The prime factorization of 921 is 3 x 307. The prime factors that it has in common with 2456 is 307, so the greatest common factor is 307.
How do you find the greatest common factor of 45 using prime factorization?
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.
What we know about prime and common factors help us find the of two or more numbers?
greatest common factor, or GCF
Why are prime factors important?
They can help you to find the Lowest Common Multiple and Highest Common Factor of numbers which is useful when dealing with fractions.
How do you find the greatest prime factor by using prime factorization?
Prime factorization is a way to express every composite number as the product of prime numbers(or prime factors). Let us consider the number 100. Prime factorization of 100 = 2 x 2 x 5 x 5. It can be seen that there are two distinct prime factors: 2 and 5. And 5 is the greatest prime factor. 100 can be expressed as 2 x 50. The only prime factor we have in this expression is 2 and this makes us to think that 2 is the only prime factor of 100, which is untrue. So with the help of prime factorization it is possible to find all the prime factors and the greatest prime factor.
How does finding the prime factorization of a group of numbers help you to find their greatest common factor?
If you take all the common prime factors between numbers and multiply them it will give you the gcf.
What we know about prime and common factors help us to find the of two or more numbers.?
The answer depends on what it is of two or more numbers that you wish to find.
Help you find out the factors of a prime number?
Any prime number has two factors: 1 and the number itself.
How to get largest prime factor?
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. The largest of those numbers is the largest prime factor.
How do you find the greatest common factor of 30135 using prime factorization?
You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factorization of 30135 is 3 x 5 x 7 x 7 x 41. The prime factorization of 98 is 2 x 7 x 7. The prime factors they have in common are 7 and 7, so the greatest common factor is 7 x 7 = 49.
How can prime factors help you solve 54 divided by 18?
3
Why do you do factor trees?
to help find prime factorizations of composite numbers
How do you find a factor string for a number?
A factor string is a multiplication sentence. The smallest are the factor pairs, the largest is the prime factorization. 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. And the longest factor string.
