To factor the quadratic equation \(x^2 + 10x + 16 = 0\), we need to find two numbers that multiply to \(16\) (the constant term) and add up to \(10\) (the coefficient of the linear term).
The numbers that fit this requirement are \(2\) and \(8\).
So, the factored form is:
\[ (x + 2)(x + 8) = 0 \]
Thus, the answer is:
\((x + 2)(x + 8) = 0\)
With the lesser number first, the answer is:
\((x + 2)(x + 8) = 0\)