Multiples of 5: A Simple Guide for Kids (with Lists & Exemples)

Have you ever looked at a clock and noticed how we count the minutes? Or maybe you’ve counted a pile of nickels? You’re actually looking at multiples of 5! Understanding these numbers is a foundational step in mastering multiplication and skip counting. In this guide, we’ll dive into what multiples of 5 are, provide a huge list up to 200, and show you some cool tricks to spot them instantly.

What Are Multiples of 5?

In simple terms, a multiple of 5 is any number you get when you multiply 5 by a whole number (like 1, 2, 3, 4, and so on). Imagine you have several small boxes, and each box contains exactly 5 apples.

If you have 1 box, you have 5 apples.
If you have 2 boxes, you have 10 apples.
If you have 3 boxes, you have 15 apples.

The numbers 5, 10, and 15 are all multiples of 5. Mathematically, we express this as:

• 5×1=5
• 5×2=10
• 5×3=15

As you keep adding these groups of 5, you are actually “skipping” forward in a rhythmic way. You can visualize this movement by imagining a staircase where every step is exactly 5 inches high. Every time you take a leap and land on a step, that number is a multiple. It’s a perfect, never-ending pattern!
Many students we work with at Wukong Education find that once they can ‘see’ these numbers as steps on a path, skip counting becomes as easy as walking. Mastering these core patterns now will make your future math adventures, like division and fractions, feel like a total breeze.

Properties of Multiples of 5

The multiples of 5 are some of the easiest numbers to recognize because they have very specific “personalities.” You don’t even need a calculator to spot them! Here are the three main rules that make them special:

1. The Last Digit Rule: This is the most famous rule. Every single multiple of 5 ends in either a 0 or a 5. If a number ends in 1, 2, 3, 4, 6, 7, 8, or 9, it is definitely not a multiple of 5. For example, 1,005 is a multiple, but 1,006 is not!
2. Alternating Even and Odd: If you look at the sequence (5, 10, 15, 20…), you will notice a pattern. The first one (5) is odd. The second one (10) is even. The third (15) is odd. They always alternate! This is because 5 is an odd number, and when you multiply an odd number by an even number, you get an even result.
3. Relationship with 10: Every multiple of 10 is also a multiple of 5. However, not every multiple of 5 is a multiple of 10. For example, 20 is a multiple of both, but 25 is only a multiple of 5.

Let’s look at how these properties appear in a small list:

[Alt Text: A chart showing that multiples of 5 always end in 0 or 5 and alternate between even and odd numbers.]

Multiples of 5 Complete List

To help you with your homework or just to practice your skip counting by 5, here is a complete list of multiples of 5 starting from 5 all the way up to 200. You can use this table to check your work or to see the patterns we talked about earlier.

Did you notice how the numbers in the first column all end in 5, and the numbers in the second column all end in 0? This repeating pattern makes the multiples of 5 very predictable and easy to memorize.

How to Identify Multiples of 5

How can you tell if a huge number like 4,590 is a multiple of 5 without using a calculator? It’s easier than you think! Here are the three best methods to identify them:

1. The “Ending Digit” Eyeball Test

Simply look at the very last digit of the number (the ones place).

• If the last digit is 0, it is a multiple of 5.
• If the last digit is 5, it is a multiple of 5.
• If it’s anything else, it’s not!

2. Skip Counting by 5s

For smaller numbers, you can count by 5s on your fingers.

• Start at 0 and add 5 each time: 5, 10, 15, 20, 25…
• If you say the number while counting, it’s a multiple!

3. The Number Line Visualization

Imagine a long number line stretching across your classroom floor. Now, imagine a friendly frog named “Fivey.” Fivey only jumps 5 units at a time.

• Fivey starts at 0.
• His first jump lands on 5.
• His second jump lands on 10.
• His third jump lands on 15.
  Every spot where Fivey lands is a multiple of 5. If you pick the number 12, Fivey will jump right over it, landing on 10 and then 15. Since he didn’t land on 12, 12 is not a multiple of 5.

Common Multiples of 5 and Other Numbers

Sometimes, a number can be a multiple of 5 and another number at the same time. These are called common multiples. Finding the Least Common Multiple (LCM) is a very important skill in Wukong Education’s math lessons.

Multiples of 5 and 2

Multiples of 2 are even numbers (ending in 0, 2, 4, 6, 8). For a number to be a multiple of both 5 and 2, it must end in 0.

• Common Multiples: 10, 20, 30, 40, 50…

Multiples of 5 and 10

Because 10 is a multiple of 5, every multiple of 10 is also a multiple of 5!

• Common Multiples: 10, 20, 30, 40, 50…

Multiples of 5 and 3

To find these, we look for numbers that end in 0 or 5 and also follow the “sum of digits” rule for 3.

• Common Multiples: 15, 30, 45, 60…

Examples and Solved Problems

Let’s practice what we’ve learned! Try to solve these problems on your own before looking at the answers.

Problem 1: Sarah has 7 nickels. Each nickel is worth 5 cents. How many cents does she have in total?

• Solution: We need to find the 7th multiple of 5. 5×7=35. Sarah has 35 cents.

Problem 2: Is the number 148 a multiple of 5?

• Solution: Look at the last digit. The last digit is 8. Since it is not 0 or 5, 148 is not a multiple of 5.

Problem 3: List all the multiples of 5 between 21 and 44.

• Solution: Start counting from 21. The first number ending in 5 or 0 is 25. Then 30, 35, 40. The next is 45, but that’s higher than 44. So, the answer is 25, 30, 35, and 40.

Problem 4: A star has 5 points. If there are 9 stars, how many points are there altogether?

• Solution: 5×9=45. There are 45 points.

Problem 5: Which of these is a multiple of 5: 12, 25, 33, 51?

• Solution: 25 is the only one that ends in 5.

Problem 6: If you add two multiples of 5 together, is the result always a multiple of 5?

• Solution: Yes! For example, 10+15=25. 25 is a multiple of 5.

Multiplication Tables

Multiplication Tables From 1-24

This collection of multiplication resources is designed to support mastery of Common Core State Standards for Operations and Algebraic Thinking. Specifically, it aligns with CCSS.MATH.CONTENT.3.OA.C.7, which requires students to fluently multiply and divide within 100, and 4.OA.B.4, focusing on factors and multiples. By exploring these tables, learners develop the algebraic foundation necessary for mental math fluency and higher-level problem solving.

FAQs about Multiples of 5

Ready to practice? Try skip counting by 5s out loud! How far can you go?

Conclusion

Mastering the multiples of 5 is like unlocking a secret code in mathematics. Once you recognize the simple pattern of numbers ending in 0 and 5, you can count faster, solve multiplication problems with ease, and even tell time better. Whether you are skip counting your savings or solving complex word problems, these numbers will appear everywhere in your life.

In Wukong Math Class, we love helping students discover these amazing mathematical patterns. The more you practice, the more “math-fluent” you become! Don’t stop here—once you are comfortable with 5s, try learning the multiples of 10. You’ll find they are very close friends with the multiples of 5! Keep practicing, stay curious, and remember that math is all around us. Happy counting!

Nathan | WuKong Math Teacher

Nathan, a graduate of the University of New South Wales, brings over 9 years of expertise in teaching Mathematics and Science across primary and secondary levels. Known for his rigorous yet steady instructional style, Nathan has earned high acclaim from students in grades 1-12. He is widely recognized for his unique ability to blend academic rigor with engaging, interactive lessons, making complex concepts accessible and fun for every student.