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Q: If you factor with different numbers do you get the same prime factorization?

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Factor strings don't necessarily have to be composed entirely of prime numbers. But the longest factor string, the one that is entirely prime numbers, that's the prime factorization.

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.

the prime factorization

Any factor that isn't prime.

That's an infinite list.

Two.

No.

By multiplying some of the prime numbers together.

ytgfcdkhj Prime Factorization means you factor the number all the factors are prime numbers.

By multiplying some of the prime numbers together.

When the bottom branch consists entirely of prime numbers.

The greatest prime factor of both numbers is 3

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