Login or Sign Up

Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime factors? Why?

Give an example of how prime factorization could be used in the real world.

7 answers

1. No. After the first prime factorization, no further factoring can be done.

2. Yes. Prime numbers(2, 3, 5, 7) have no prime factors; because they have already gone through "Prime factorization".

So I came here to check my answer on this assigment and one of my classmates answer is word from word from Henry's answer and I thought his answer was so good and now im just sitting here like he thought he was getting aways slick .

thx guys it helpped

I hope y'all do well

Thank You

Thanks

Take a look at the Fundamental Theorem of Arithmetic.

Did you know?

Did you know that a composite number can indeed have more than one prime factorization? This means that there can be multiple combinations of prime numbers that, when multiplied together, give the same composite number. For instance, the number 12 can be factored as 2 x 2 x 3 or as 2 x 6. On the other hand, it is not possible for a number to have no prime factors. Every number greater than 1 can always be expressed as a product of prime numbers. This is because, according to the Fundamental Theorem of Arithmetic, every composite number can be uniquely represented as a product of primes. Prime factorization, despite being a mathematical concept, has practical applications in the real world. For example, it is used in cryptography, where large prime numbers play a crucial role in keeping data secure. Additionally, prime factorization is used in computer science algorithms, such as the Pollard's rho algorithm, which aids in factoring large numbers efficiently.