When DSLR's first came out, it was understood that lets say a 100
prime lens was really a 160 lens on a Canon 1.6 partial sensor crop;
that is, a 160 focal length telephoto with a "magnification" factor.
There is a difference between a crop factor and a magnification
factor. If you have a software editing program, when you crop, you
are removing excess picture around the final image, thus making the
final image larger - appearing as though it were magnified.
But magnification is different. Lets take the argument to a bizarre
level, this often helps to understand it. Lets say you are out in
the wilds of North Dakota, and low and behold a wolf is on a small
hill and behind him is the moon. You know to make the moon look
really really large you need around a 500 lens to "magnify" the moon.
So you pull out of your bag, the 500 and shot the picture - wolf on
hill with moon behind him.
You decide on another picture but unfortunately you drop your lens
and it smashes the front lens and it is no longer functional. You
say what a minute, I have a DSLR with a crop factor of 10 (no such
camera exists). You think, if I put my 50mm lens on it with a crop
factor of 10, it'll be a 500 lens. So you take the remaining
pictures with it. Will the moon by nice and big like in the original
500 prime lens shot? No. Because the image is cropped, framed like
a 500 lens, but it is not magnified like a 500 lens. The moon will
be much smaller.
The moon will look like a 50mm lens shot of the wolf and moon in
background, then cropped in Picasa, to resemble the field of view a
500 lens. The moon and wolf will appear closer, but the moon won't
be that wonderful full moon of the original 500 prime shot.l