Thoughts on Highly Divisible Numbers

Submitted by Dimby on November 9, 2024
Those Sumerians did a heck of a job with their base 12 number system. Really, 12 is just better than 10. 10 is divisible by only 2, 5, and 10, which means only even numbers and numbers with 5 and 0 in the units digit have a readily apparent repeating pattern for divisibility. For 12, there are 2, 3,4,6, and 12 itself are even divisors. In base 12, all numbers that end in 3,6,9 or 0 are divisible by 3. The same is true for 4 with 4, 8, and 0.

Anyway, highly composite numbers have more factors than any smaller number. For instance, 6 is divisible by 1, 2, 3, and 6. No smaller number has 4 factors. 12 has five factors. 24 has six factors. 36 has seven factors! 48 has EIGHT factors. All this to say… these are better numbers for making tables. For the sudden death quizzes, by using these highly composite numbers, your answer grid will likely end up having a beautifully uniform grid layout on any device, since they’re divisible by 3, 4, and 6. So I say, stop using 15, 20, 30, or 50 answers! Follow the Sumerian example and use 12, 24, or 36, or 48!!! (Or if you want to be epic, use 60. The Sumerians probably made 60 seconds in a minute because it was divisible by 2,3,4,6,10,12,15,20, and 30!!! Or even more epic, 2520, which is divisible by all numbers 1-10!).

6 Comments
+1
Level 68
Nov 9, 2024
This is not what I was expecting but it is what I needed
+1
Level 75
Nov 9, 2024
Zero has the most factors which means it should be the best
+2
Level 57
Nov 9, 2024
Haha! Super interesting and funny at the same time. I hadn't thought there could be problems for mobile users but you are right, that's something which has to be highlighted.

Thanks for this useful tip and this entertaining reading. And of course, let's all follow the example of our dear Sumerians.

+1
Level 83
Nov 9, 2024
To the Sumerians! Huzzah!
+2
Level 78
Nov 9, 2024
The Mayans also had somewhat of a stronger base (one might say it was “more based”) at 20. And what’s interesting here is that they had some slight modifications that favored counting to 360 because it’s so close to the number of days in a year!
+1
Level 83
Nov 10, 2024
Imagine how great it’d be if it took exactly 360 days to go around the sun. Maybe one day we’ll find a way to gently speed up the planet a bit.