Question

Fundamental theorem of arithmetic is also called as ______ Factorization Theorem.

• A. Algebra
• B. Ambiguous
• C. Unique
• D. None of these

Answer 1

The correct option is C Unique

$30=2\times 3\times 5$, where $2$ and $3$ are prime numbers.

We cannot get the number $30$ by multiplying any other prime numbers.

Example : $30\ne 2\times 5\times 7.$

It is only with one particular set of prime numbers.

Hence, it is called Unique Factorization Theorem.

Therefore, $C$ is the correct answer.