# How to Find, Say & Write Multiples of 2

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• 0:00 Multiples of 2
• 0:33 Finding Them
• 2:53 Saying Them
• 3:16 Writing Them
• 3:54 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, you will learn how to find your multiples of 2. Learn what process you can take to figure out what is a multiple of 2. Learn the special numbers that identify all multiples of 2.

## Multiples of 2

In this lesson, we will cover our multiples of 2. Our multiples of 2 are the products of numbers multiplied by 2. So, any number multiplied by 2 will give you a multiple of 2. Why is it important to learn about our multiples of 2? It is important because you will come across these problems often in your math classes and on your math tests. Being able to find them, say them, and write them will help you to find the answer quickly and correctly.

## Finding Them

From the definition, we see that our multiples of 2 are found by multiplying any number by 2. We know that multiplication means repeated addition, so when we multiply something by 2, it actually means that we are adding that number twice. So, 3 * 2 is 3 + 3. This tells us that if we see a number being multiplied by 2, we can right away perform the addition of that number with itself. 10 * 2 is 10 + 10. 6 * 2 = 6 + 6. We can perform the addition until we have memorized our multiples of 2. Let's see what happens as we begin multiplying our numbers by 2:

• 1 * 2 = 1 + 1 = 2
• 2 * 2 = 2 + 2 = 4
• 3 * 2 = 3 + 3 = 6
• 4 * 2 = 4 + 4 = 8
• 5 * 2 = 5 + 5 = 10
• 6 * 2 = 6 + 6 = 12
• 7 * 2 = 7 + 7 = 14
• 8 * 2 = 8 + 8 = 16
• 9 * 2 = 9 + 9 = 18
• 10 * 2 = 10 + 10 = 20

Do you notice an interesting pattern here? Why, the last digits of our multiples of 2 seem to follow the repeating pattern of 2, 4, 6, 8, 0, 2, 4, 6, 8, 0, etc. From this, we can say that any multiple of 2 will end in either a 2, 4, 6, 8 or 0. If it ends in any other number, then it is not a multiple of 2. This also makes it easier to find the multiples of 2. Just start counting off the pattern and once you get to 8, add 1 to the digits before the last digit. So, after 8 comes 10 since 0 + 1 = 1 (the digits before the last digit plus 1), after 18 comes 20 since 1 + 1 = 2, after 98 comes 100 since 9 + 1 = 10.

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