Why does the number of filters does not determine the output size in the CNN layer? The formula to determine the output size is [(W−K+2P)/S]+1. Here the number of filters used is not significant for determining the ouput size, I was wondering why?
Is it because Each filter is separately applied to the input to obtain a feature map and the output of the that part is considered as dimension size?
Please note:

*

*W refers to the input size, K refers to the filter size where as P stands for
padding and S stands for stride

The formula you've given is for 1 filter. If you have $N$ filters, then you have $N$ outputs of the size you describe.
