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

Updated: 4/28/2022 Wiki User

7y ago

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. Wiki User

7y ago   Evens Jean

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2y ago

)How is finding the factors of a number different from finding the prime factorization of a number?   Earn +20 pts
Q: How is prime factorization different from finding factors of a number?
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Still have questions?  Related questions

### What is finding the factors of a number that are all prime?

That's finding the prime factorization.

### What are the prime factorization for composite numbers 1-100?

finding the prime factors of a composite number

### How can divisibility rules help you find the prime factorization of a number?

they can help you by finding the two factors of the number given

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

The process is roughly the same; you're going to break a number down into component parts, but the end results are different. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36 The prime factorization of 36 is 2 x 2 x 3 x 3

### What is the definition and purpose of prime factorization?

Prime factorization is the result of expressing a number as the product of its prime factors. It will assist you in finding the GCF and LCM of any given number set.

### 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 smallest number that has 6 different prime factors?

30,030 Factorization: 2x3x5x7x11x13

Yes.

### Write 44 of a product of prime factors?

Prime factorization is the finding which prime number multiply to get to make the original number. 44: 1, 2, 4, 11, 22, 44 Prime Factors: 2, 11 Prime Factorization: 2 x 2 x 11

### How is prime factorization different from writing a number factor?

The factors of 30 are 1,2,3,5,6,10,15 and 30. The prime factorization of 30 is 2 x 3 x 5.

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

That's the prime factorization.

### Prime factors of 4?

Prime factorization is the finding which prime number multiply to get to make the original number. Factors of 4: 1, 2, 4 Prime Factorization: 2 2 x 2 = 4