wa ta ticki ta too too

This is a given.

If the last digit is divisible by 2 (a.k.a. even), then so is the whole number.

If the sum of the digits is divisible by 3, then so is the whole number. The recursivity of this means that if the sum has multiple digits, you can add them up again until you get a single digit and see if it's 3, 6, or 9.

Like the rule for 2, but check if the last two digits are divisible by 4.

If it ends in 5 or 0.

If the rules for both 2 and 3 apply.

No shortcut. Alas.

Like the rules for 2 and 4, but check if the last three digits are divisible by 8. (Yes, this pattern keeps going for 16, 32, etc.)

Like the rule for 3, but the sum of the digits (or the sum of the sum of the digits, etc.) must be 9.

For example, 294

29 4

4×2=8

29-8=21

21 is divisible by 7

Second example, 1946

194 6

6×2=12

194-12=182

182 is still large, so let do it again

18 2

2×2=4

18-4=14

Amazon’s super bowl ad where the Alexa mocks Chris Hemsworth for being worried about giving spy software control over his entire life. Waymo’s ad with the intro “the robots are coming!” mocking people who are rightfully extremely concerned about sharing the road with, or riding in, self-driving cars.

My wife pointed out to me the other day that apparently most people were literally only taught how to say Sorry and not how to Apologize or even that they are different things so here.

So if you want to support your local authors, find out how to request your library purchase and make available for borrow their book. You filling out a form gives us money!! Annually!

I have no idea how Libby and Overdrive work but they give me money every month so I can't complain???

I'm yet to find an actual author who would COMPLAIN about people borrowing their books from libraries (although this is the internet, I'm sure there's a person for everything, as per above??? [checks what country she's from]).