How many integers n between 1 and 10,000 are there such that 3/n is a terminating decimal?
2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 512 , 600 , 625 , 640 , 750 , 768 , 800 , 960 , 1000 , 1024 , 1200 , 1250 , 1280 , 1500 , 1536 , 1600 , 1875 , 1920 , 2000 , 2048 , 2400 , 2500 , 2560 , 3000 , 3072 , 3125 , 3200 , 3750 , 3840 , 4000 , 4096 , 4800 , 5000 , 5120 , 6000 , 6144 , 6250 , 6400 , 7500 , 7680 , 8000 , 8192 , 9375 , 9600 , Total = 85 such numbers.
