Why is every number which ends in 5 divisible by 5?

Question

Is there more of an answer to this which is more than just 'it does'?

http://math.stackexchange.com/questions/898096/how-to-prove-divisibility-test-for-4 — lab bhattacharjee, Aug 17 '14 at 07:58
It's because $5$ divides $10$, and every number which ends in $5$ is $5$ plus powers of $10$. — David H, Aug 17 '14 at 07:59

score 1 · Accepted Answer · answered Aug 17 '14 at 08:01

1

Well, it's only true in decimal ;)

That is the hint of observing this property: all digits that are in front add factors of 10, which is divisible by 10 and therefor also by 5. And that doesn't change anything in divisibility.

answered Aug 17 '14 at 08:01

Pieter21

3,475

No, it's true in any radix that is divisible by $,5.\ \ $ – Bill Dubuque Aug 17 '14 at 16:36
True, so it's also true in quindecimal :) – Pieter21 Aug 17 '14 at 17:05

Why is every number which ends in 5 divisible by 5?

1 Answers1