Question

find the product of any two prime numbers.is it a prime number?

Answer 1

Two prime number's products never become prime number because, A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
hope it helps you....

Answer 2

$\boxed{\boxed{\mathfrak{Composite\: Number}}}$

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Product of Prime number is always a $\textbf{composite number.}$

Product of Pre numbers can never be a $\textbf{prime number.}$

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Let's derive that :

Take any $\textit{ 2 prime numbers}$.

For eg. 2,3 to make calculations easier!!

Multiply them...

Multiplying 2 and 3

$\bf\mathfrak{2 \times 3 = 6}$

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We know that, a prime number is a number which has only 1 and itself as factors.

Or It is only divisible by 1 or itself.

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Calculating factors of 6 .......

Factors of 6 are :- 1 ; 2 ; 3 ; 6

$\mathbf{But,\: 6 \:has\: factors\: other \: than \:1}\\ \mathbf{itself(6).}$

Hence, it is a $\textbf{composite number.}$

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