Question

12. The number of different factors the number 75,600 has is​

Answer 1

Answer:

75600 = 2^4×3^3×5^2×7 (10 prime factors, 4 distinct)

Now, a lot of questions like this, the person is looking for DIVISORS. The divisors of 75,600 are:

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 12 | 14 | 15 | 16 | 18 | 20 | 21 | 24 | 25 | 27 | 28 | 30 | 35 | 36 | 40 | 42 | 45 | 48 | 50 | 54 | 56 | 60 | 63 | 70 | 72 | 75 | 80 | 84 | 90 | 100 | 105 | 108 | 112 | 120 | 126 | 135 | 140 | 144 | 150 | 168 | 175 | 180 | 189 | 200 | 210 | 216 | 225 | 240 | 252 | 270 | 280 | 300 | 315 | 336 | 350 | 360 | 378 | 400 | 420 | 432 | 450 | 504 | 525 | 540 | 560 | 600 | 630 | 675 | 700 | 720 | 756 | 840 | 900 | 945 | 1008 | 1050 | 1080 | 1200 | 1260 | 1350 | 1400 | 1512 | 1575 | 1680 | 1800 | 1890 | 2100 | 2160 | 2520 | 2700 | 2800 | 3024 | 3150 | 3600 | 3780 | 4200 | 4725 | 5040 | 5400 | 6300 | 7560 | 8400 | 9450 | 10800 | 12600 | 15120 | 18900 | 25200 | 37800 | 75600 (120 divisors)