Q: Does every number have its own prime factorization?

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Every composite number has its own unique prime factorization.

Because the Fundamental Theorem of Arithmetic specifies that every integer greater than 1 has its own unique prime factorization, it is impossible to specify what each of these prime factorizations is, however, it is true that the prime factorization of every even number includes the number 2 as the lowest prime factor.

It is simply 293 because it is a prime number in its own right

yes

41 is a prime number in its own right because it has only two factors which are itself and one

Related questions

Every composite number has its own unique prime factorization.

Every composite number has its own unique prime factorization.

Every number has its own unique prime factorization. 3 x 3 x 3 = 27

No. Each composite number has its own unique prime factorization.

Because the Fundamental Theorem of Arithmetic specifies that every integer greater than 1 has its own unique prime factorization, it is impossible to specify what each of these prime factorizations is, however, it is true that the prime factorization of every even number includes the number 2 as the lowest prime factor.

Each composite number has its own unique prime factorization.

89 is a prime number in its own right

Each composite number has its own unique prime factorization. The largest number in that factorization would be the largest prime factor. It will never be more than half of the original number.

It is 269 because 269 is a prime number in its own right

It is simply 293 because it is a prime number in its own right

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.

19 is a prime number in its own right and needs no exponents