yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Examples identifying multiples


3m read
·Nov 10, 2024

In this video, we're going to start thinking about what it means for something to be a multiple of a number. So we're asked which of the following numbers is a multiple of 9. So pause this video and see if you can figure that out.

All right, now let's do it together. One way to think about a multiple is a number that you can get to by multiplying the number, in this case 9, by a whole number. So we could figure out the multiples of 9 by skip counting; that's one way to do it.

You could go from 9, and then you add 9 to that; you get to 18. You add 9 to that; you go to 27. You add 9 to that; you are going to get to 36. You add 9 to that; 45. Add 9 to that; 54. Add 9 to that; 63. Add 9 to that; you get 72. Add 9 to that; you get to 81. We could keep going, but to figure out whether these are multiples, you really just have to say, hey, are any of these numbers in this list?

Now, if one of these numbers is larger than 81, we would have to keep going to see if it's included. But we can see that 46 sits between two multiples of 9. 46 sits closer to 45, but it sits in there; it sits between two multiples. So that's not going to be a multiple.

Another way to think about it is, for something to be a multiple, if you divide by 9, you're not going to get a remainder. But if you divide 46 by 9, you are going to get a remainder; you're not going to be able to divide 9 into it evenly. So I am just going to take that one out of the contention.

77 is right over here; it's between 72 and 81. Once again, it's between two multiples, but not a multiple. 39 is between 36 and 45, so not a multiple; between two multiples, rule that out. And we can see very clearly that 18 is a multiple. If I was doing this on my own, I would just maybe be skip counting in my head. I'd be going nine, all right, I don't see a nine, eighteen, oh I see an 18. There, there you go. Especially if I'm only going to pick one choice.

Let's do another example: which of the following shows only multiples of eight? So pause this video and think about that. All right, well, I could do it choice by choice here.

So let's see; this first one is for a multiple of eight. Well, four can divide into eight; we could say that eight is a multiple of four, but four is not a multiple of eight. What whole number am I going to multiply eight by to get to four? So we can rule this out.

And you can think about what they're showing here; these are actually multiples of four, not multiples of eight. We can skip count here: 4, 8, 12, 16, 20, 24, 28. These are multiples of four, not multiples of eight. Some of the multiples of four are also multiples of eight. Eight is a multiple of eight; sixteen is a multiple of 8; 24 is a multiple of 8. But not all of the multiples of 4 are multiples of 8.

I think you might be seeing a little pattern here: which ones are multiples of 8. Now, what about this choice right over here? 16 is 8 times 2; 24 is 8 times 3; 32 is 8 times 4; 40 is 8 times 5. In fact, we could skip count: 8, then 16, 24, 32, 40, then 48, 56, so on and so forth. But these are all multiples of eight, so I like this choice.

And then over here: 1, 2, 4, and 8. Well, these are showing numbers that can be divided into 8 without a remainder. You could think of them as factors of 8. You could say, hey, I can multiply 1 times 8 to get 8. I can multiply 2 times 4 to get 8. But these are not multiples of 8. What whole number can I multiply 8 by to get 1 or to get 2 or to get 4?

In general, your multiples of a number are going to be that number or larger than it. I was about to say that number or multiples of it, but I realized I can't use multiples to define multiples. It would be that number or larger numbers than it, and it would have to... and if you were to skip count with that number, you would hit all of the multiples.

More Articles

View All
A WARNING for ALL Investors
What’s up guys, it’s Graham here. So, we’ll be able to look back at this video in the future and see how all of this pans out. But I’m recording this today as we’ve just had our single best 50-day rally ever in history, and that also means that we’re offi…
More Compute Power Doesn’t Produce AGI
The artificial general intelligence crew gets this completely wrong too. Just add more compute power and you’ll get intelligence when we don’t really know what it is underneath that makes us creative and allows us to come up with good explanations. Peopl…
Warren Buffett: How Most People Should Invest in 2023
Since 1965, Warren Buffett, the world’s best investor, has been laser-focused on buying individual stocks and trying to beat the market to benefit the shareholders of Berkshire Hathaway. And he’s done that very successfully, with an average annual return …
Chris Dixon at Startup School 2013
So today I’m going to talk about good ideas that look like bad ideas. There’s a great, my clicker is not working, sorry, technical problems there. Okay, thanks, oops. So there’s a great PG blog post where he talks about Peter Thiel came to talk and said …
Michael Burry's Huge Inflation Warning for 2023
Michael Murray, who a lot of people know as this guy in this movie, isn’t the type of person who fears putting his reputation on the line by making bold economic predictions. He’s done it many times over the years, and the scary thing is he usually ends u…
Lies You Tell Yourself Every Day
Lying to yourself can become a part of your routine, and if you believe lying to others is a bad thing, imagine the price you’ll pay for lying to yourself. So why not prevent that by watching this video? Here are 10 lies people tell themselves daily. Num…