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Prime factors are prime numbers that are multiplied with other numbers (taht could possibly be prime) to make a product.

Prime factorisation is the process of finding the prime numbers that create another number when they are multiplied together.

Example of Prime Factorisation:

20

2x10

2x2x5

The prime factors found are 2,2, and 5. When multiplying these together, you will get 20. The process of finding these prime numbers is called factorisation.

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13y ago
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11y ago

Factorization is a list of all the prime numbers that produce a given number when multiplied together.

The factors of a given number are all the numbers by which it can be evenly divided. For example, the factorization of 234 is 2 x 3 x 3 x 13 (or 2 x 32 x 13 in exponential form), and the factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, and 234.

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11y ago

Factors are just numbers. Some numbers are positive, some negative. Some numbers are prime, some composite. A prime factor is always positive, but a positive factor is not always prime.

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8y ago

Factors aren't necessarily prime.

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Q: What is the difference between prime factors and prime factorization?
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Difference between prime factor and prime factorization?

A prime factorization is a multiplication sentence of prime factors. 2, 3 and 5 are the prime factors of 30. 2 x 3 x 5 is the prime factorization of 30.


What is the difference between a factor string and prime factorization?

A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.


What is the prime factorization of numbers 1 to 200?

If you look at the related question, "What are the prime factors of the numbers from 1 to 200?" (provided in the link below), take the prime numbers, and show them with multiplication signs between them, then you will have the prime factorization. Examples: The prime factors of 15 are 3 and 5. Therefore, the prime factorization is 3 x 5. The prime factors of 42 are 2, 3, and 7. Therefore, the prime factorization is 2 x 3 x 7. The prime factors of 64 are 2, 2, 2, 2, 2, and 2. Therefore, the prime factorization is 2 x 2 x 2 x 2 x 2 x 2. If you want the prime factorization of a specific number, it is sometimes listed under questions of the form, "What are the prime factors of __?" or "What are the factors of __?" or "What are the factors and prime factors of __?"


What is the prime factorization of 65?

The prime factors of 65 are 5 and 13.


What is the longest string of prime factors?

The prime factorization.

Related questions

Difference between prime factor and prime factorization?

A prime factorization is a multiplication sentence of prime factors. 2, 3 and 5 are the prime factors of 30. 2 x 3 x 5 is the prime factorization of 30.


What is the difference between a factor string and prime factorization?

A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.


What is the difference between finding a prime factors of a number and finding the prime factorization of a number?

The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 The prime factors of 72 are 2 and 3. Prime factorizations may contain repeated factors. When you list the factors, you only need to list them once.


What is the difference between prime factorization and factor rainbows?

A factor rainbow is a method to determine a prime factorization.


Which no between 29 and 30has three different prime factor what is prime factorization?

Not a lot of room between 29 and 30. Prime factorization is the expression of a positive composite integer as the product of its prime factors. 30 has three prime factors. 2 x 3 x 5 is the prime factorization of 30.


What makes a factorization of a number a prime factorization?

When all the factors are prime numbers, that's a prime factorization.


Difference between prime factor and distinct prime factor?

Some prime factorizations have repeated factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3. The distinct prime factors of 72 are 2 and 3.


When you expand a number into it's prime factors it is called?

prime factorization


What are the pairs of prime factorization with a difference of 2 in 100?

The prime factorization of 100 is 2x2x5x5. There are no pairs of prime factorization with a difference of two in the number 100.


What is the factorization in which all the factors are prime numbers of a number?

That's the prime factorization.


What is the prime factorization of numbers 1 to 200?

If you look at the related question, "What are the prime factors of the numbers from 1 to 200?" (provided in the link below), take the prime numbers, and show them with multiplication signs between them, then you will have the prime factorization. Examples: The prime factors of 15 are 3 and 5. Therefore, the prime factorization is 3 x 5. The prime factors of 42 are 2, 3, and 7. Therefore, the prime factorization is 2 x 3 x 7. The prime factors of 64 are 2, 2, 2, 2, 2, and 2. Therefore, the prime factorization is 2 x 2 x 2 x 2 x 2 x 2. If you want the prime factorization of a specific number, it is sometimes listed under questions of the form, "What are the prime factors of __?" or "What are the factors of __?" or "What are the factors and prime factors of __?"


What is the prime factorization of 65?

The prime factors of 65 are 5 and 13.