Oh, dude, prime factors are the prime numbers that can be multiplied together to get a certain number, while prime factorization is just listing those prime factors out. It's like breaking down a number into its prime components - kind of like breaking down a sandwich into its ingredients. So, prime factors are the individual ingredients, and prime factorization is the recipe.
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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.
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.
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.
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.
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.
The prime factors of 65 are 5 and 13.
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 __?"
The prime factorization.