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All numbers have factors. Some factors are prime numbers. These are prime factors. A factor string where all the factors are prime numbers is called a prime factorization.

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Q: What are the prime factors and prime factorization?
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Related questions

How do you get a prime factorization?

You get a prime factorization by figuring out the factors of the number and then figuring out the factors of those numbers. If the number is prime there is no prime factorization. prime factorization.


What makes a factorization of a number a prime factorization?

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


How many factors does the number with the prime power factorization 126 have?

126 (which is not a prime power factorization) has 12 factors.


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

That's the prime factorization.


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 a product of prime factors?

Expressing a number as the product of its prime factors is known as the prime factorization. The prime factorization of 30 is 2 x 3 x 5.


How is prime factorization different from finding factors of a number?

All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.


What is the prime factorization for eleven?

11 is a prime, and has no prime factors.


What is a product of prime factors?

a prime is a primeA prime factorization


How many factors are there is the prime factorization of 400?

Two distinct prime factors, six total prime factors.


What is the prime factorization tree for the prime factorization of 78?

As a product of its prime factors: 2*3*13 = 78


What is the difference between factors and prime factorization?

Factors aren't necessarily prime.


What are the prime factors of 594?

Prime factorization of 594 = 2x3x3x3x11 If we look at the prime factorization of 594 then it is clear that prime factors of 594 are 2, 3 & 11.


Is 7 x 12 the prime factorization of 84?

Prime Factorization of 84No, 7 X 12 is not the prime factorization of 84. In order to be prime factorization, all factors must be prime numbers. 7 is prime, but 12 is not. Since it is an even number, 2 will divide into it. 2 times 6 is 12, so the factorization would be 7 X 2 X 6. Since 6 is not a prime number, that is not the prime factorizatio of 84. The factors of 6 are 2 and 3. That means the factorization is 7 X 2 X 2 X 3. All the factors are now prime numbers, so the prime factorization of 84 with the factors in order from smallest to largest is 2 X 2 X 3 X 7. When finding the prime factorization of any number, you have to keep factoring any composite factors until all the factors are prime.


What is the longest string of prime factors?

The prime factorization.


What is the word for prime factors of a number?

The prime factorization


What is the product of all of the prime factors?

the prime factorization


What is 2x2x2x2x2x7 in the prime factorization?

They are the prime factors of 224


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 does the prime factorization mean in math for 5th grade?

Prime factorization is a way of writing a composite number as the product of its prime factors. The prime factors of 6 are 2 and 3. 2 x 3 is the prime factorization of 6.


Prime factorization of 47?

There is no prime factorization of 47 since it is a prime number. It's only factors are 1 and 47.


What are the prime factors of 45 and 65?

Prime factorization of 45 is 3x3x5. Prime factorization of 65 is 5x13.


How do you express in terms of prime factors?

Expressing a number in terms of its prime factors is known as the prime factorization. The prime factorization of 36 is 2 x 2 x 3 x 3.


What is a number written as the product of its prime factors?

The prime factorization of a number is writing it as a product of its prime factors.


What are the factorization and prime factors of 4396?

The Prime Factors are: 2, 7, 157 The prime factorization is: 2 x 2 x 7 x 157