The last one will work, if you can take say half an erne , but for this you don't really want to take half the erne.

So 19 is not divisible by 3.

Subtract.

Yeah, you have a remainder here.

So if you take the digits 2 plus 5, you get 7.

If 75 wasn't divisible by 2, 25's not going to be divisible by 2 either.

Well, it's one.

Two doesn't go into it.

Three doesn't go into it.

So this doesn't go evenly.

That's 11. Plus 9, it's 20. Plus 2 is 22

1 and 17 will definitely go into 17, 2 doesn't go into 17, 3 doesn't go, 4, 5, 6, 7, 8, ... none of those numbers, nothing between 1 and 17 goes into 17, so 17 is prime.

It's not a counterexample.

5 is definitely divisible by 1,

We already summed up the digits here, 48 is not divisible by 9, if you're not sure, you can add up the digits there and get 12, 12 is definitely not divisible by 9.

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And as far as I can tell, let's see.

Two goes into eight.

Lets move on to 7.

This is only divisible by r, that's only divisible by s, that's divisible by neither.

This number up here is not divisible by 2, it's not divisible by 5.

Four goes into twelve.

If x can be something between 0 and 11, here's how many halvings.

Well, 75 is an odd number, or the number in the ones place, this 5, is an odd number.

Well, that'll satisfy our 3 divisibility rule, but 3 is not divisible by 9, so our number will not be divisible by 9.

Well, what if you did something like you divide both sides by negative 7.

And if you were just divisible by only a 2 or a 3, you wouldn't be able to do this you have to have both 2 and 3 and here you're divisible by neither 2 or 3, so you're not going to be divisible by 6.

So 2 is a prime number.

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It's not like that electronic abs machine where, 15 minutes a month, you get washboard abs.

Lets move on to 2.

And, we've already written it as a fraction, and I think that's about as simplified as we can get.

let's add some zeroes to this eleven right over here after the decimal and now let's start to divide.

Here is an interesting case 1. 1 is only divisible by 1.

Its factors are 1 and itself. So an example of a prime number is 3.

But here we have 25.

You move to 7, 7 is prime.

Mathematicians do this by adding parentheses and avoiding this divided by sign.

1 plus 2 plus 0 is equal to 3.

We already learned that 4 widens the quadratic, so that can't be it.

Lets try out 3. Well, 3 is definitely divisible by 1 and 3 and it's not divisible by anything in between. it's not divisible by 2.

The windows are sealed and hardened. Unbreakable.