this post was submitted on 22 Oct 2023
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[–] Dagwood222@lemm.ee 29 points 1 year ago (3 children)

Any number where the individual digits add up to a number divisible by '3' is divisible by 3.

51 = 5+1 = 6, which is divisible by three.

Try it, you'll see it always works.

[–] letsgo@lemm.ee 7 points 1 year ago (3 children)

There are tricks like that for a lot of numbers. For 7, chop off the last digit, double it and add it to what's left. Repeat as required. If the result is divisible by 7 then the original number was. eg: 356 -> 35+12=47 not db7. 357 =>35+14 both db7 so we don't even need to do the add.

[–] diverging@lemmy.ml 2 points 1 year ago

double it and ~~add it to~~ subtract it from what’s left

[–] BruceDoh@sh.itjust.works 0 points 1 year ago (1 children)
[–] sockenklaus@sh.itjust.works 2 points 1 year ago

You clearly mean:

14: 1 + 8 = 9 (not db 7)

Someone else in this thread correctly stated:

"Chop of last digit, double it and subtract from what is left"

14: 1 - 8 = -7. (dB 7!)

Math is awesome, I didn't know this trick!

[–] Zacryon@feddit.de 4 points 1 year ago (1 children)

One of the reasons why I love the number 3. There are other neat digit sum tricks, see for example for the numbers 1 to 30 here: https://en.m.wikipedia.org/wiki/Divisibility_rule

[–] Dagwood222@lemm.ee 6 points 1 year ago (1 children)

They didn't teach stuff like this in school, which is silly. This is the kind of thing that a kid would eat up. It's like they wanted to make sure people hated math.

[–] Zacryon@feddit.de 1 points 1 year ago (1 children)

I guess I was one of the lucky few who learned this in elementary school. And later again.

[–] Dagwood222@lemm.ee 0 points 1 year ago

I first saw the nine times finger trick in the movie 'Stand And Deliver.' I remember seeing it written out on a blackboard at some point, but never the finger trick.

https://youtu.be/-WOgLltWhgg

[–] Laukidh@infosec.pub 2 points 1 year ago* (last edited 1 year ago)

I knew that worked with 9. Hmm, does it work with 6?

Doesn’t look like it.