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Determine the prime factors of 7325?

Updated: 4/28/2022
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The Prime Factors of 7,325 are 5, 293

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Q: Determine the prime factors of 7325?
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Continue Learning about Basic Math

How can you determine if a number is prime by looking at the factors of the number?

A prime number only has two factors. If the number you're looking at has more than two factors, it is not prime.


Determine if 23 is prime or composite?

23 is prime because its only factors are 1 and itself.


Hwo do you determine if a number is prime or composite?

Prime numbers have two factors, composite numbers have more than two.


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.


What is the least common multiple of 9 and 12?

The LCM of 9 and 12 is: 36To determine the least common multiple of two numbers, determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor).The prime factors of 9 are 3 and 3.The prime factors of 12 are 2, 2, and 3.The prime factors in common are a single 3, the greatest common factor is 3.36: 4 x 9, 3 x 12.The least common multiple of 12 , 9 = 36.3636

Related questions

Determine the prime factors of 30?

The prime factors of 30 are: 2, 3, and 5.


How do you determine if a number has 3 factors?

Squares of prime numbers have three factors.


How can you determine if a number is prime by looking at the factors of the number?

A prime number only has two factors. If the number you're looking at has more than two factors, it is not prime.


How do you determine the prime factorization of numbers?

Keep dividing until all the factors are prime.


Determine if 23 is prime or composite?

23 is prime because its only factors are 1 and itself.


How can you determine whether the gcf of two numbers is one by looking at their prime factorizations?

If there are no prime factors in common, the GCF is 1.


What is the LCM of 28 and 21?

To determine the least common multiple of two numbers, determine the prime factors of both number. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor). The prime factors of 21 are 3 and 7. The prime factors of 28 are 2, 2, and 7. The prime factors in common are a single 7. Therefore, the lowest common multiple is 21 x 28 ÷ 7 = 84


How do you determine all factors Prime factorization?

A prime number has only 2 factors which are itself and one whereas a composite number has more than two factors.


Explanin How do you determine the prime factorzation of 56?

the prime factorization of 56 is a prime number that are only divisible by twounique factors.


How can you use the prime factorization of two numbers to determine whether they are relative prime?

If the prime factorizations have no prime factors in common, the numbers are relatively prime.


How can you use the prime factorization of two numbers to determine whether they are relatively prime?

Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.


Do you need to know all the factors of a number in order to determine if it is a prime or composite?

No. There are techniques to find if it is prime