what do you mean by an integral multiple of 360 degrees

We know " 360$\xb0$ is one complete revolution . "

So

An integral multiple of 360$\xb0$ is a whole number of revolutions (clockwise or counterclockwise) .

As if we have positive numbers as for clockwise rotation and negative numbers for anticlockwise rotation .

So, if we have 720$\xb0$ , So 2( 360$\xb0$ ) so here 2 is the integral multiple of 360$\xb0$ and positive sign shows the rotation is in clockwise direction

or

if we have - 720$\xb0$ , So - 2( 360$\xb0$ ) so here - 2 is the integral multiple of 360$\xb0$ and negative sign shows the rotation is in anticlockwise direction

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