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All composite numbers can be expressed as the product of prime numbers. This is accomplished by dividing the original number by prime numbers until all the factors are prime. A factor tree can help you visualize this.

Example: 30

30 Divide by two.

15,2 Divide by three.

5,3,2 Stop. All the factors are prime.

2 x 3 x 5 = 30

That's the prime factorization of 30.

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11y ago
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11y ago

you will need it for many other math types.

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Comparing their prime factorizations is a fast and easy way to determine their greatest common factor and their least common multiple.

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factor allows you to find the missing variable.

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Because bob told me so and barney the purple dinosaur checked bob answer and when I ask Barbie she said I don't know I'm a blonde

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Q: Why is it important to be able to write large numbers as factors of prime numbers?
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Related questions

Do large numbers have more prime factors than smaller numbers?

Usually, but not necessarily and not if they're prime. All prime numbers have the same number of factors.


How do you get the prime factorization of large numbers?

The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.


Explain Why the Numbers 0 and 1 have no prime factor?

2 is the smallest prime number. Numbers can't have factors larger than themselves. Zero and one aren't large enough to have prime factors.


Do large numbers give longer number chains?

Most of the time, but large prime numbers still have only two factors.


How do you find the prime factorization of large numbers?

The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.


What are com man prime factors?

All numbers have factors. Some factors are prime numbers. These are known as prime factors. Some numbers have some of the same prime factors as other numbers. These are known as common prime factors. 3 is a common prime factor of 12 and 15.


How are factors and prime numbers alike?

Some factors are prime numbers.


How are prime factors and factors related?

Prime factors are factors that are also prime numbers.


What means prime factore?

All numbers have factors. Some factors are prime numbers. These are known as prime factors.


What are prime factors numbers?

Prime factors of numbers are small numbers that the bigger (original) number can divide by. The prime factors have to be prime. This means they only have two factors, itself and one.


What are the prime factors of the numbers from 1 to 15000?

The set of prime factors of the numbers from 1 to 15,000 would be the set of prime numbers between 1 and 15,000. The link below has a list of the first 10,000 prime numbers, so if you take the primes less than 15,000, you will have the set of prime factors of the first 15,000 numbers. For prime factors of individual numbers, check the related question, "What are the prime factors of the numbers from 1 to 200?" Also check for WikiAnswers questions in the form of "What are the prime factors of __?" and "What are the factors and prime factors of __?"


Do prime numbers have factors?

Yes, prime numbers have factors. A prime number has only two factors(1 and itself).