How can we find the determinant of $2A^TA$ while only knowing the determinant of A and the order of the matrix?

Question

If $A$ is a square matrix of order 3 and $det(A)=5$, then how much is $det(2A^TA)$?

Assuming the product of a matrix and its transpose is nothing special how do we solve this question?

This was a previous year test question so I don't think it's a long process, there must be some rule I am missing.

Answer 1

Hint 1: if $B$ is an $n\times n$ matrix and $a$ is a scalar, then $\det(aB)=a^n\det B$.

Hint 2: $\det(A^T)=\det A$

Do you need a third hint? I hope not.