00:03
All right, we're asked to find the smallest number that has a remainder of five when divided by six, 15, and 18.
00:11
All right.
00:12
Well, for this one, what i did is i just kind of checked and i said, well, let's just do the multiples 18 and see how long it takes us to find it.
00:20
So when i say 18, well, 18 times 1 is 18, and if i add five to that, it's only 23.
00:28
So that's not really going to have a remainder of five when divided by 15.
00:33
So that doesn't make any sense.
00:35
To find the next multiple of 18 plus 5, all i have to do is add 18 to 23.
00:40
So that's my next step is add 18 to 23.
00:44
All right.
00:44
And when i do that, i'd be at 41.
00:46
That would be the next one.
00:48
All right.
00:48
But i know when i divide by six, that would have a remainder of five, but not when i divide by 15.
00:56
So that's not the right one either.
00:58
So let's take that 41 add another 18.
01:02
Now we're going to be up to 59.
01:05
When i divide that by six, let's say 54.
01:10
Oh, so that's going to work there.
01:11
So that's a good one.
01:13
But with 15, well, that goes into 60, so we have a remainder of 14 instead...
