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Divisibility by 8, 9, and 10

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  • 0:01 Divisibility
  • 1:01 By 8
  • 1:59 By 9
  • 2:33 By 10
  • 3:06 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

In this video lesson, we will see what numbers are divisible by 8, 9, and 10. You will learn how you can figure out these numbers yourself. Learn what it means to be divisible.

Divisibility

Divisibility is being able to be divided equally by a certain number. In math, we also use the word divisible. So, if we say something is divisible by 8, then that means that something has divisibility by 8. What does this mean in the real world? You can think of splitting a number of candles evenly among a certain number of cakes. If each cake ends up with the same number of candles after all the candles are gone, then that number of candles is divisible by that number of cakes.

For example, if we have 16 candles and 8 cakes, each cake would end up with 2 candles each. This means that 16 is divisible by 8; it has divisibility by 8. It also means that 16 can be divided equally by 8. The division symbol is the symbol that looks like a horizontal line with a dot on top and a dot on the bottom. 16 divided by 8 is 2. The answer we get is the number of candles each cake has. Let's now look at what numbers are divisible by 8, 9, and 10.

By 8

We begin with the number 8. We have 8 cakes. Do you see them?

Image for example problem
eight cakes without candles

They don't have any candles on them yet. What do you think is the first number of candles that can be divided equally among these 8 cakes? Well, if we add 1 candle to each cake, how many candles will we have? 8. So, 8 is the first number. 8 divided by 8 is 1.

What is the second number? Try adding 1 more candle to each cake. How many candles do we have now? 16 candles. So, the second number is 16. 16 divided by 8 is 2. What's our third number? 16 + 8 = 24. 24 divided by 8 is 3. Do you see the pattern? We are adding 8 to each number to get to our next number.

By 9

For divisibility by 9, we follow the same pattern, except we are now adding 9 to each number. Here are your 9 cakes:

Image for example
image of nine cakes with one candle each

Go ahead and add your candles. What is the first number that is divisible by 9? 9. Each cake will get 1 candle. 9 divided by 9 is 1.

The next number? 18. 18 divided by 9 is 2. Each cake will have 2 candles. What about the next number? 27. Each cake now has 3 candles. 27 divided by 9 is 3. Try to keep going by yourself for a bit.

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