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

Question

Furkat [3]

4 years ago

13

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

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

Mathematics

1 answer:

Nitella [24] · Answer 1 · 2021-11-05T13:19:32+03:00

Prime factors are factors of a composite number that are indivisible except by the number 1 or the number itself. The answers to your questions are the following:

1. Yes, it is possible especially for very large numbers.
2&3. No, because as mentioned previously, the default prime factors of numbers are 1 and the number itself. For example, 2 is a prime number. Its factors are 1 and 2.
4. Prime factorization are useful in fields of encryption. They make use of the basic prime numbers for the arithmetic modulus with the general equation: n=pq.