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Prime number: -A number that has only two factors i.e. \[1\] and itself is a prime number.

Composite number: - When a number can be divided up exactly and has more than 2 factors it is called a composite number

Definition of fundamental theorem of arithmetic: - Every composite number can be expressed as a product of prime numbers and the representation is unique except for the order in which the prime factor occurs.

Example: -\[75\]

Prime factors of 75 are:

\[ = 1 \times 3 \times 5 \times 5\]

\[ = 1 \times 3 \times (5 \times 5)\]

\[ = 1 \times 3 \times {5^2}\]

Now arranging them in ascending order, we get:

\[ = 1 \times 3 \times {5^2}\]

Now arranging them in descending order, we get:

\[ = {5^2} \times 3 \times 1\]

We can easily see that the composite number 75 is expressed as a product of prime numbers and the representation is unique but we have expressed it in different order.

In the fundamental theorem of arithmetic c-very composite number expressed is a product of prime numbers in ascending and descending order.