Saturday, January 04, 2025

60 and multiples of 60 are also round

 On December 20th I noticed that 62/2, though 66/6 all divide evenly.  Apparently this works for 120, 180, 240 and 360.  Enough for me to assume it works for every multiple.

Example:

182/2 = 91

183/3 = 61

184/4 = 45

185/5 = 37

186/6 = 31

The reason it should work for every multiple, is that if 2,3,4,5 and 6 go into 60 x times, each multiple will just be that multiple times x.  Then you're adding one of that multiple, so it will be that number, plus one.  So, 5/60 is 12 and 5/65 is 13.  Do the 3rd multiple 5/180 = 12 x 3 and 5/185 is 12 x 3 + 1 = 37.

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