[sphinx]

Because 60 is far easier to divide by three, experts studying the tablet, found that the calculations are far more accurate.

And 49 is far easier to divide by seven. So what?

[SteveH]

I am just guessing that it makes calculations slightly more convenient by using approximations of arbitrary numbers between 0 and 1.

the convenient approximation would be to find the closest 60th and use that approximation instead of the actual amount.

12 is divisible by 1, 2, 3, and 4.

60 is divisible by 1, 2, 3, 4, and 5.

the next step would be 420, which is divisible by 1, 2, 3, 4, 5, 6, and 7.

math-wise, though, this seems rather crude compared to greek geometry, in which proofs hold whether the lengths are rational or irrational.

[zeugma]

And 49 is far easier to divide by seven. So what?

And, other than 7? Not so much.

60/2=30
60/3=20
60/4=15
60/5=12
60/6=10
60/12=5
60/15=4
60/20=3
60/30=2

The number of natural divisors is pretty large, and if you look at in fractional representations of same, they are generally pretty useful. 60 is a good choice for a numbering system. From working with computers, I'm also partial to base 16, but that's probably familiarity more than anything else, though it has useful inherent properties as well.