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(1) In other words 500 is a multiple of K.
(2) This says 8 is multiple of K but that has nothing to do with 1000.
(combined) If 500 is multiple of K then you can divide further and see how far you can go with a multiple of 2 in the denominator. You end up with 125, this is where (2) comes in the picture, and you can see that K has to be divisible by at least by twice the 500, which is 1000.

(1) Let's say K is 500, thus 4K = 2000. 4K divisible by 2000. But 1000 is not a factor of 500.
(2) K = 320. K/8 = 40. Doesn't say anything about 1000 being a factor.
(combined) Since K has to be at least 2*500 = 1000, you can say 1000/8 = 125. And 1000/1000 = 1.