Question

Fundamental theorem of arithmetic is when any .......... greater than $1$ is either a prime number or can be written as a unique product of prime numbers.

• A. decimal number
• B. fraction
• C. irrational number
• D. integer

Answer 1

The correct option is D integer

Let us take an example, $15$ is not a prime number.

$15=3\times 5$, where $3$ and $5$ are prime numbers.
We cannot get the number $15$ by multiplying any other prime numbers.
$15\ne 2\times 5\times 7.$

It is only with one particular set of prime numbers.
Hence, it is said integers greater than $1$ are prime numbers or unique product of prime numbers.
Therefore, $D$ is the correct answer.