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As a product of its prime factors: 3*5*31 = 465

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Q: How do you find prime factors of 465 using a tree method?
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What are the common factors of 16 and 4?

1, 2, 4 Method(s) used: # The method is to find all of the factors of each, and then select the numbers that appear in each list. # Another method to find the common factors of numbers is to find the prime factorizations of each one, select all matching prime factors, and then combine them.


How do you find the largest prime factor?

Well, I have a manual method that will tell you how to find the largest prime factor. For example, we have two numbers 1996 and 99999 and we want to find their prime factors. First of all we have to construct a tree of these numbers as below: 1996 998,2 449,2,2 1996 = 2*2*499 99999 33333,3 11111,3,3 271,41,3,3 99999 = 3*3*41*271 If you note in the above examples the largest prime factors are 499 and 271. Similarly, for any number you can find the prime factor by using the above method.


Why do you need the common prime factors when finding the greatest common factor?

You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.


How do you work out the product of prime factors?

Multiply prime numbers or prime factors to find their product.


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.

Related questions

What is the method to find the prime factors of a composite number?

prime numbers


Find the prime factors of 87 using prime factorization?

The prime factors of 87 are 3 x 29


Using the prime factor method to find the LCM of 4 and 5?

2 x 25Combine the factors.2 x 2 x 5 = 20, the LCM


What are the common factors of 16 and 4?

1, 2, 4 Method(s) used: # The method is to find all of the factors of each, and then select the numbers that appear in each list. # Another method to find the common factors of numbers is to find the prime factorizations of each one, select all matching prime factors, and then combine them.


How do you find the largest prime factor?

Well, I have a manual method that will tell you how to find the largest prime factor. For example, we have two numbers 1996 and 99999 and we want to find their prime factors. First of all we have to construct a tree of these numbers as below: 1996 998,2 449,2,2 1996 = 2*2*499 99999 33333,3 11111,3,3 271,41,3,3 99999 = 3*3*41*271 If you note in the above examples the largest prime factors are 499 and 271. Similarly, for any number you can find the prime factor by using the above method.


How do you simplify fractions using prime numbers?

To simplify a fraction using prime numbers, find the prime factors of both the numerator and denominator. Then, divide the numerator and denominator by their common prime factors. Repeat this process until there are no common prime factors left. The resulting fraction will be simplified to its simplest form.


How do you find the prime factorization of 120 using exponents?

As a product of its prime factors using exponents: 2^3 times 3 times 5 = 120


How do you find HCF using product of prime factors method?

Example: 30 and 42Factor them.2 x 3 x 5 = 302 x 3 x 7 = 42Select the common factors.2 x 3 = 6, the GCF


How do you find prime number?

Prime numbers are the numbers that can only be divided by 1 and them selves. As in 13 if you were to factor it using only whole numbers you would see that its factors are only 1 and 13. There for it is prime. While 12 you see that the factors are 1,2,3,4,6,12 meaning that it is not prime.You test several numbers, to see whether they are prime numbers, until you find a prime number.


What is a disadvantage of using the prime factorization method to find the LCM?

speed you can just use your brain to find the LCM faster, sometimes.


What are 2 methods to solve a gcf problem?

Two methods to solve a greatest common factor (GCF) problem are the prime factorization method and the listing method. In the prime factorization method, you find the prime factors of each number and determine the common factors. The GCF is the product of the common prime factors. In the listing method, you list the factors of each number and find the common factors. The GCF is the greatest common factor from the common factors list.


How do you work out the product of prime factors?

Multiply prime numbers or prime factors to find their product.