*Yuanxin (Amy) Yang Alcocer*Show bio

Amy has a master's degree in secondary education and has been teaching math for over 9 years. Amy has worked with students at all levels from those with special needs to those that are gifted.

Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*
Show bio

Amy has a master's degree in secondary education and has been teaching math for over 9 years. Amy has worked with students at all levels from those with special needs to those that are gifted.

In mathematics, divisibility occurs when one number is divided by another and the result is 0. Review a set of examples to understand the process for finding divisibility patterns for each of these numbers.
Updated: 10/28/2021

What is divisibility? **Divisibility** is being able to be divided equally by a certain number. Think of sharing a bunch of candies that you have with your friends. If you have 3 friends and 3 candies, then you can give each friend 1 candy. Everyone gets an equal share. In math, we call this divisibility by 3. If you can't give your friends an equal share, then we say we don't have divisibility by 3.

We also use the word 'divisible.' We will usually say that something is divisible by something else. So, we will say that 3 is divisible by 3 because you can divide 3 candies by 3 friends equally. Remember what the symbol looks like for division? Yes, it is a horizontal line with a dot on top and a dot on the bottom. In this video lesson, we will look at what numbers can be divided by 2, 3, and 4. Are you ready to begin?

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Let's stick to our sharing candies with friends example. In this case, divisibility by 2; we have 2 friends that we want to share candies with. Can you think of a number of candies that can be divided equally between these two friends? Is it 2? Yes, if you have 2 candies, you can definitely share the 2 candies equally between your 2 friends.

How many candies would each friend get? 1. So, 2 is divisible by 2, and 2 divided by 2 equals 1 since that is the number of candies that each friend got. Think of splitting the number of candies you have evenly into 2 groups. If you can do that, then the number is divisible by 2.

What's another number that is divisible by 2? Let's try 4. How can you divide four candies equally between 2 friends? Each friend can get 2 candies. So, we have 4 divided by 2 is 2. What other numbers have divisibility by 2? 6, 8, 10, 12, and so on. Do you see a pattern? Yes, each number is the previous number plus 2. You can continue this pattern to find even more numbers that are divisible by 2.

Let's continue on to the number 3. Now you have 3 friends. How many candies do you need so that you can share them equally between your friends? The first number is 3, since this means that each friend will get 1 candy each. So, 3 is divisible by 3. 3 divided by 3 is 1.

What's another number? 6. How many candies will each friend get? The answer is 2. So, 6 is divisible by 3. 6 divided by 3 is 2. What other numbers are there? 9, 12, 15, 18, and so on. Do you see a pattern here, too? Yes, it is very similar to the pattern for divisibility by 2, except now we are adding 3 to each previous number.

Now, what about divisibility by 4? What do you think the pattern will be? Will it be 4, 8, 12, 16, and so on? Yes, you are right! We start with our first number that can be divided equally between 4 friends, 4 candies, and then we continue by adding 4 to each previous number. 4 divided by 4 is 1. 8 divided by 4 is 2. 12 divided by 4 is 3. And the pattern continues.

What did we learn? We learned that **divisibility** means being able to be divided equally by a certain number. In math, we also use the word 'divisible.' When we say 12 is divisible by 4, it means that we can split 12 candies evenly between 4 friends. In this video lesson, we saw the numbers that are divisible by 2, 3, and 4. We learned that they all have a pattern.

For divisibility by 2, we start with the number 2 and then continue by adding 2 to each previous number. We get 2, 4, 6, 8, 10, etc. For divisibility by 3, we start with 3 and then we keep adding 3 to each previous number. We get 3, 6, 9, 12, etc. For divisibility by 4, we begin with 4 and then continue adding 4 to each previous number. We get 4, 8, 12, 16, etc.

After this lesson is done you should be able to:

- State the meaning of
*divisibility* - Recall how to find the divisibility patterns for 2, 3 and 4

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