Step 1: Quantization of charge
We know that charge on a body is quantized and can be given as:
$
q = Ne
$
where, $N$ is number of electrons present on the body, $e$ is the
charge on an electron
Step 2: Substitute the values
From equation (1)
$-1 \times 10^{-9} C =-1.6 \times 10^{-19} C \times N $
$N =\frac{10^{-9}}{1.6 \times 10^{-19}}=6.25 \times 10^9 \text { electrons. }$