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6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

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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.

After watching this video lesson, you will become a pro at finding multiples of whole numbers. Learn what they are and how you can visualize the process to make it easier for you.

If you look at the world around you or even when you are just planning to get together with friends, you'll see just how important **whole numbers**, or our counting numbers plus 0, are. So our whole numbers begin with 0, then we can count 1, 2, 3, and so on. If you are planning to get together with your friends, you most likely will give them a time and a place. You might say something like 'Let's get together at my place at 3 pm tomorrow for some fun and games.' Do you see how you just used a whole number to help you plan?

Also, if you've been in cars, you might have noticed the speed limit signs all over the place. These are also whole numbers that tell you how fast you should go on a particular road, such as 35 mph. As you can see, whole numbers are pretty important.

In math, you'll be working with whole numbers very often. One important skill you need to have is being able to find the **multiples** of a whole number. Multiples are the product of a whole number multiplied by a counting number. For example, say we are looking for the multiples of 5, we can find them by multiplying our 5 with a counting number. So 5 * 1 = 5 is a multiple. 5 * 2 = 10 is a multiple. 5 * 3 = 15 is a multiple and so on. We can write a list of the multiples of 5. It would be 5, 10, 15, etc.

To help you understand multiples better, here is a visualization you can picture in your head when you are asked to find the multiples of a number. First, picture a group of something. This group of something will represent our whole number. Say we are using the number 3. We can picture 3 yummy cheeseburgers.

Now, to find the multiples of our number 3, we will begin by counting our first group. We have 3. This is our first multiple. To find our next number, we create an exact copy of our first group. Now we have two groups of 3 cheeseburgers. How many total cheeseburgers do we have now? We have 6 yummy cheeseburgers. So 6 is our next multiple.

To find our next multiple, we again make another exact copy of our group of 3 yummy cheeseburgers. How many cheeseburgers do we have now? We have 9 yummy cheeseburgers. So 9 is our next multiple of 3. Writing our list, we have 3, 6, 9, etc. We can keep going by making more copies of our original group and then adding up the total number of items to find even more multiples.

Let's look at a couple of examples to see how we can use this information.

*Find the first three multiples of 2.*

We begin with 2. We can visualize it by picturing 2 marbles. Then we create an exact copy of these 2 marbles. We now have two groups of 2 marbles. How many total marbles is that? We have 4 marbles. Creating another copy of our 2 marbles, we now have three groups of 2 marbles. How many total marbles do we have? We now have 6. So our list of the first three multiples is 2, 4, and 6.

Alternately, we can also multiply to find our multiples. We get 2 * 1 = 2, 2 * 2 = 4, and 2 * 3 = 6. We end up with the same list: 2, 4, and 6.

*Find the first five multiples of 1.*

The previous problem wanted just the first three multiples. This problem, though, wants the first five. So let's use the multiplication method to find our multiples. We have 1 * 1 = 1, 1 * 2 = 2, 1 * 3 = 3, 1 * 4 = 4, and 1 * 5 = 5. Our list is 1, 2, 3, 4, and 5.

We could also visualize it by picturing 1 sheep at first. Creating a copy, we get another sheep for a total of 2 sheep. Creating another copy, we now have 3 sheep. Repeating this twice more, we get 4 sheep and then 5 sheep. Our list of multiples then is 1, 2, 3, 4, and 5.

Let's review what we've learned.

**Whole numbers** are our counting numbers plus 0. **Multiples** are the product of a whole number multiplied by a counting number. To find our multiples, we can multiply our whole number by our counting numbers. For example, the multiples of 3 are 3 * 1 = 3, 3 * 2 = 6, and 3 * 3 = 9, and so on.

When you are finished with this lesson, you should be able to identify the multiples of any whole number.

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6th-8th Grade Math: Practice & Review55 chapters | 469 lessons

- What is Factoring in Algebra? - Definition & Example 5:32
- Equivalent Expressions and Fraction Notation 5:46
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- Factoring By Grouping: Steps, Verification & Examples 7:46
- Finding Factors of Whole Numbers 5:16
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