Explain, why (𝟔×𝟓×𝟒×𝟑×𝟐×𝟏)+𝟓 is a composite number ?

 

Numbers which have atleast one factor other than $𝟏$ and the number itself are called composite numbers.

Example: $4, 6, 8,...$

$=(𝟔×𝟓×𝟒×𝟑×𝟐×𝟏)+𝟓$

$=(𝟔×\boxed{𝟓}×𝟒×𝟑×𝟐×𝟏)+\boxed{𝟓}×𝟏$

$=\boxed{𝟓}×[(𝟔×𝟒×𝟑×𝟐×𝟏)+𝟏]$

It shows that $𝟓$ is a factor of given number, other than $𝟏$ and the number itself.

So, $(𝟔×𝟓×𝟒×𝟑×𝟐×𝟏)+𝟓$ is a composite number.