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Prime factors are the numbers that make up other numbers, but they have to be prime. Prime factorisation is the process of finding the prime numbers that create a number. This is when you multiply the prime numbers together and the product is the original number.

For example:

20

5x4

5x2x2

This process is called prime factorisation. In this case, the prime numbers are 2, 2, and 5.

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Q: Are prime factors and prime factorization the same?

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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.

A prime factorization is the same as expressing a composite number as the product of its prime factors. Prime numbers don't have factorizations; they're already prime.

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.

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

Powers of primes

That's the prime factorization.

It's not, because all the factors of 20 aren't prime.

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

11 is a prime, and has no prime factors.

a prime is a primeA prime factorization

The prime factorization

The prime factorization.

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