[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.12,0:00:03.12,Default,,0000,0000,0000,,[Sal] I'm here with our exercise guru, Ben Eater, Dialogue: 0,0:00:03.12,0:00:04.42,Default,,0000,0000,0000,,[Ben] Hi Sal Dialogue: 0,0:00:04.42,0:00:06.30,Default,,0000,0000,0000,,[Sal] who made this exercise\Nand now we're going to try Dialogue: 0,0:00:06.30,0:00:07.68,Default,,0000,0000,0000,,to work through it. Dialogue: 0,0:00:07.68,0:00:10.31,Default,,0000,0000,0000,,So, let's see, it says "what are the factors of 9?" Dialogue: 0,0:00:10.31,0:00:13.30,Default,,0000,0000,0000,,"You can resize this box with 9 dots", Dialogue: 0,0:00:13.30,0:00:14.65,Default,,0000,0000,0000,,the box has 9 dots Dialogue: 0,0:00:14.65,0:00:16.32,Default,,0000,0000,0000,,"to help you find the factors" Dialogue: 0,0:00:16.32,0:00:18.11,Default,,0000,0000,0000,,[Ben] Yeah, so what you're looking at, Dialogue: 0,0:00:18.11,0:00:19.59,Default,,0000,0000,0000,,you've got, you've got these 9 dots on the screen Dialogue: 0,0:00:19.59,0:00:23.12,Default,,0000,0000,0000,,and right now they're just one row of 9 dots Dialogue: 0,0:00:23.12,0:00:25.31,Default,,0000,0000,0000,,and if you grab that little thing on the right side of the box Dialogue: 0,0:00:25.31,0:00:27.17,Default,,0000,0000,0000,,and move that around to the left Dialogue: 0,0:00:27.17,0:00:28.52,Default,,0000,0000,0000,,[Sal] Oh, that's neat! Dialogue: 0,0:00:28.52,0:00:30.71,Default,,0000,0000,0000,,[Ben] you still have 9 dots, but they're arranged differently Dialogue: 0,0:00:30.71,0:00:31.46,Default,,0000,0000,0000,,[Sal] I see Dialogue: 0,0:00:31.46,0:00:33.20,Default,,0000,0000,0000,,[Ben] And so, what you can see is, Dialogue: 0,0:00:33.20,0:00:34.26,Default,,0000,0000,0000,,try to go get them so you have the Dialogue: 0,0:00:34.26,0:00:35.28,Default,,0000,0000,0000,,same number in each row Dialogue: 0,0:00:35.28,0:00:37.86,Default,,0000,0000,0000,,[Sal] I see, so this one, so if you have Dialogue: 0,0:00:37.86,0:00:39.61,Default,,0000,0000,0000,,let's see, not the same number Dialogue: 0,0:00:39.61,0:00:41.41,Default,,0000,0000,0000,,Oh, 3, right there! Dialogue: 0,0:00:41.41,0:00:48.18,Default,,0000,0000,0000,,So you could get to 9 by literally multiplying 3 rows times 3 columns Dialogue: 0,0:00:48.18,0:00:48.96,Default,,0000,0000,0000,,[Ben] That's right. Dialogue: 0,0:00:48.96,0:00:49.85,Default,,0000,0000,0000,,[Sal] and you get to 9 Dialogue: 0,0:00:49.85,0:00:51.03,Default,,0000,0000,0000,,[Ben] So 3 is a factor Dialogue: 0,0:00:51.04,0:00:55.21,Default,,0000,0000,0000,,[Sal] So 3, and we'd write that in this box over here Dialogue: 0,0:00:55.23,0:00:58.31,Default,,0000,0000,0000,,Do we have to write 3 twice? because we have... Dialogue: 0,0:00:58.31,0:00:59.76,Default,,0000,0000,0000,,or is just writing 3 once? Dialogue: 0,0:00:59.76,0:01:00.55,Default,,0000,0000,0000,,[Ben] 3 is a factor Dialogue: 0,0:01:00.55,0:01:02.65,Default,,0000,0000,0000,,(overlapping) [Sal] 3 is a factor, we don't have to write\N[Ben] so you just put it once. Dialogue: 0,0:01:02.65,0:01:04.18,Default,,0000,0000,0000,,[Sal] If we wrote it twice, would it be wrong? Dialogue: 0,0:01:04.18,0:01:07.15,Default,,0000,0000,0000,,[Ben] Yes actually. We do mark that wrong. Dialogue: 0,0:01:07.15,0:01:08.36,Default,,0000,0000,0000,,[Sal] You actually do mark that wrong. Dialogue: 0,0:01:08.36,0:01:09.39,Default,,0000,0000,0000,,Ok, so there's 3 and 3 Dialogue: 0,0:01:09.39,0:01:11.64,Default,,0000,0000,0000,,but there was also right when you started you had 9 and 1 Dialogue: 0,0:01:11.64,0:01:14.20,Default,,0000,0000,0000,,[Ben] That's right, those are factors. Dialogue: 0,0:01:14.20,0:01:16.14,Default,,0000,0000,0000,,[Sal] and I dont have to write them in any special order? Dialogue: 0,0:01:16.14,0:01:18.83,Default,,0000,0000,0000,,[Ben] no, no. gotta get them all. Dialogue: 0,0:01:18.83,0:01:22.01,Default,,0000,0000,0000,,[Sal] And I belive that's all there is Dialogue: 0,0:01:22.01,0:01:23.24,Default,,0000,0000,0000,,And we can look at the other ones Dialogue: 0,0:01:23.24,0:01:28.90,Default,,0000,0000,0000,,And we could see, look 2 and 8, definitely that's not working out Dialogue: 0,0:01:28.90,0:01:30.12,Default,,0000,0000,0000,,and it's interesting for people to think Dialogue: 0,0:01:30.12,0:01:31.74,Default,,0000,0000,0000,,about why these aren't working out Dialogue: 0,0:01:31.74,0:01:33.52,Default,,0000,0000,0000,,[Ben] Right, yeah, you can't divide two into nine Dialogue: 0,0:01:33.52,0:01:36.22,Default,,0000,0000,0000,,[Sal] Yes, yeah, yeah, yeah Dialogue: 0,0:01:36.22,0:01:37.05,Default,,0000,0000,0000,,That's pretty... Dialogue: 0,0:01:37.05,0:01:38.56,Default,,0000,0000,0000,,And that just gets us to 1 and 9 again Dialogue: 0,0:01:38.58,0:01:39.58,Default,,0000,0000,0000,,And we don't want to repeat it. Dialogue: 0,0:01:39.58,0:01:41.07,Default,,0000,0000,0000,,[Ben] Those are the same factors Dialogue: 0,0:01:41.07,0:01:44.56,Default,,0000,0000,0000,,[Sal] So let's check our answer, let's see how we're doing. Dialogue: 0,0:01:44.56,0:01:45.94,Default,,0000,0000,0000,,There we go! We got it all right. Dialogue: 0,0:01:45.94,0:01:47.35,Default,,0000,0000,0000,,Let's do one more [Ben] Ok Dialogue: 0,0:01:47.35,0:01:52.43,Default,,0000,0000,0000,,[Sal] Let's do one more. Correct. Next question. Dialogue: 0,0:01:52.44,0:01:55.14,Default,,0000,0000,0000,,You can resize this box with 16 dots to help you find the factors Dialogue: 0,0:01:55.14,0:01:57.17,Default,,0000,0000,0000,,So 1 I'll just, 1 and 16 are factors Dialogue: 0,0:01:57.17,0:01:59.13,Default,,0000,0000,0000,,[Ben] 1 and 16 are factors, sure Dialogue: 0,0:01:59.13,0:02:00.50,Default,,0000,0000,0000,,Those are always factors Dialogue: 0,0:02:00.50,0:02:02.03,Default,,0000,0000,0000,,[Sal] Let me write those: 1 and 16 Dialogue: 0,0:02:02.03,0:02:04.47,Default,,0000,0000,0000,,So let's play with this box here Dialogue: 0,0:02:04.47,0:02:06.32,Default,,0000,0000,0000,,So, yeah, I know, that's not working Dialogue: 0,0:02:06.32,0:02:07.92,Default,,0000,0000,0000,,That's not working Dialogue: 0,0:02:07.92,0:02:09.30,Default,,0000,0000,0000,,So I'm trying to figure out Dialogue: 0,0:02:09.30,0:02:11.94,Default,,0000,0000,0000,,So this is essentiall going 2 times... Dialogue: 0,0:02:11.94,0:02:14.86,Default,,0000,0000,0000,,2 might be a factor, if I could just Dialogue: 0,0:02:14.86,0:02:15.87,Default,,0000,0000,0000,,Oh, look it is! Dialogue: 0,0:02:15.87,0:02:18.96,Default,,0000,0000,0000,,[Ben] There it is. Two is a factor. Dialogue: 0,0:02:18.96,0:02:21.36,Default,,0000,0000,0000,,[Sal] Exactly, 2 rows of 8 works Dialogue: 0,0:02:21.36,0:02:25.85,Default,,0000,0000,0000,,So we can say 2 and 8 are factors. Dialogue: 0,0:02:25.85,0:02:28.74,Default,,0000,0000,0000,,[Ben] And if you think of it 2 and 8 both divide into 16 Dialogue: 0,0:02:28.74,0:02:29.24,Default,,0000,0000,0000,,[Sal] Absolutely Dialogue: 0,0:02:29.24,0:02:31.54,Default,,0000,0000,0000,,[Ben] 2 divides 8 times or 8 divides 2 times Dialogue: 0,0:02:31.54,0:02:32.20,Default,,0000,0000,0000,,[Sal] Yes. You can see that. Dialogue: 0,0:02:32.20,0:02:33.80,Default,,0000,0000,0000,,You can construct Dialogue: 0,0:02:33.80,0:02:36.20,Default,,0000,0000,0000,,16 dots, you can divide them into 2 groups of 8 Dialogue: 0,0:02:36.20,0:02:37.60,Default,,0000,0000,0000,,and I suspect also 8 groups of 2 Dialogue: 0,0:02:37.60,0:02:39.25,Default,,0000,0000,0000,,[Ben] Well, you can see that Dialogue: 0,0:02:39.26,0:02:40.63,Default,,0000,0000,0000,,[Sal] Let's see. So that's two groups of 8 Dialogue: 0,0:02:40.65,0:02:42.18,Default,,0000,0000,0000,,or two rows of 8 Dialogue: 0,0:02:42.18,0:02:45.21,Default,,0000,0000,0000,,let's see, 4 - Oh, look at that! 4 times 4 Dialogue: 0,0:02:45.21,0:02:46.31,Default,,0000,0000,0000,,[Ben] 4 times 4 Dialogue: 0,0:02:46.33,0:02:47.36,Default,,0000,0000,0000,,[Sal] And I'll just write the 4 once Dialogue: 0,0:02:47.37,0:02:48.63,Default,,0000,0000,0000,,[Ben] 4 is a factor Dialogue: 0,0:02:48.63,0:02:49.39,Default,,0000,0000,0000,,[Sal] 4 is a factor Dialogue: 0,0:02:49.39,0:02:52.22,Default,,0000,0000,0000,,and then I can Dialogue: 0,0:02:52.22,0:02:54.23,Default,,0000,0000,0000,,and I've probably Dialogue: 0,0:02:54.23,0:02:55.14,Default,,0000,0000,0000,,I've already gotten 8 and 2 Dialogue: 0,0:02:55.14,0:02:57.11,Default,,0000,0000,0000,,Now I've got 8 groups of 2 instead of two groups of 8 Dialogue: 0,0:02:57.11,0:02:58.28,Default,,0000,0000,0000,,but they're still both factors Dialogue: 0,0:02:58.28,0:03:00.68,Default,,0000,0000,0000,,and you go back to 16 and 1 Dialogue: 0,0:03:00.68,0:03:01.23,Default,,0000,0000,0000,,So, I think we're done. Dialogue: 0,0:03:01.23,0:03:02.17,Default,,0000,0000,0000,,[Ben] I think so! Dialogue: 0,0:03:02.17,0:03:03.23,Default,,0000,0000,0000,,[Sal] Let's check our answer. Dialogue: 0,0:03:03.23,0:03:04.55,Default,,0000,0000,0000,,[Both] Very good! Dialogue: 0,0:03:04.55,0:03:06.22,Default,,0000,0000,0000,,[Sal] Well, thank you. That was fun. Dialogue: 0,0:03:06.22,0:03:06.74,Default,,0000,0000,0000,,[Ben] Thank you Dialogue: 0,0:03:06.74,0:03:07.93,Default,,0000,0000,0000,,[Sal] This was very neat. Very fun to play with. Dialogue: 0,0:03:07.93,0:03:09.08,Default,,0000,0000,0000,,[Ben] Oh, thanks.