If you interpret the question as is, the answer is in the thousands which is not listed. The last part of the question should read “the number of new cases doubled from those newly identified cases from the day prior.” It was poorly phrased lol
Day 1: 5
Day 2: 5+10
Day 3: 15+20
Day 4: 35+40
Day 5: 75+80
Day 6: 155+160
Which is 315 at the end of the 6th day
You can find the prime factorization of 360 by dividing it by 2. Then you get 2 * 180. 180 can be simplified to 2 * 90. 90 can be simplified to 2 * 45. 45 can simplified to 3 * 15. 15 can be simplified to 3 * 5.
The prime factorization of 360 is 2^3 * 3^2 * 5.
You can check that answer. 2^3 = 8 → 3^2 = 9 → 8 * 9 * 5 = 360