Multiples of 5: A Complete Guide for Kids
The multiples of 5 are numbers that can be divided by 5 with no remainder. The first multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. You can find them by multiplying 5 by 1, 2, 3, 4, and so on, or by adding 5 each time.
Understanding multiples of 5 is a key skill in the U.S. Common Core State Standards for Mathematics, covered in 3rd grade under CCSS.MATH.CONTENT.3.OA.C.7 (fluently multiply within 100) and 4th grade under CCSS.MATH.CONTENT.4.OA.B.4 (factors and multiples). Students learn to recognize number patterns and use multiples to solve real-world problems like counting money or telling time.
What Are Multiples of 5?
A multiple of 5 is the product of 5 and a whole number.
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- 5 × 1 = 5
- 5 × 2 = 10
- 5 × 3 = 15
- 5 × 4 = 20
- 5 × 5 = 25
So 5, 10, 15, 20, and 25 are multiples of 5.
Similarily, if a number can be divided by 5 evenly, it is a multiple of 5.
Examples:
- 35 is a multiple of 5 because 35 ÷ 5 = 7
- 23 is not a multiple of 5 because 23 ÷ 5 leaves a remainder
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.
| Column 1 (Ends in 5) | Column 2 (Ends in 0) | Column 3 (Ends in 5) | Column 4 (Ends in 0) |
|---|---|---|---|
| 5 | 10 | 15 | 20 |
| 25 | 30 | 35 | 40 |
| 45 | 50 | 55 | 60 |
| 65 | 70 | 75 | 80 |
| 85 | 90 | 95 | 100 |
| 105 | 110 | 115 | 120 |
| 125 | 130 | 135 | 140 |
| 145 | 150 | 155 | 160 |
| 165 | 170 | 175 | 180 |
| 185 | 190 | 195 | 200 |
Multiples of 5 Up to 100
The multiples of 5 up to 100 are:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
Multiples of 5 Up to 150
The multiples of 5 up to 150 are:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150
What are the Multiples of 5 Up to 1000?
There are 200 positive multiples of 5 up to 1000.
- The first one is 5
- The last one below 1000 is 1000
| Range | Multiples of 5 |
|---|---|
| 5 – 50 | 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 |
| 55 – 100 | 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 |
| 105 – 150 | 105, 110, 115, 120, 125, 130, 135, 140, 145, 150 |
| 155 – 200 | 155, 160, 165, 170, 175, 180, 185, 190, 195, 200 |
| 205 – 250 | 205, 210, 215, 220, 225, 230, 235, 240, 245, 250 |
| 255 – 300 | 255, 260, 265, 270, 275, 280, 285, 290, 295, 300 |
| 305 – 350 | 305, 310, 315, 320, 325, 330, 335, 340, 345, 350 |
| 355 – 400 | 355, 360, 365, 370, 375, 380, 385, 390, 395, 400 |
| 405 – 450 | 405, 410, 415, 420, 425, 430, 435, 440, 445, 450 |
| 455 – 500 | 455, 460, 465, 470, 475, 480, 485, 490, 495, 500 |
| 505 – 550 | 505, 510, 515, 520, 525, 530, 535, 540, 545, 550 |
| 555 – 600 | 555, 560, 565, 570, 575, 580, 585, 590, 595, 600 |
| 605 – 650 | 605, 610, 615, 620, 625, 630, 635, 640, 645, 650 |
| 655 – 700 | 655, 660, 665, 670, 675, 680, 685, 690, 695, 700 |
| 705 – 750 | 705, 710, 715, 720, 725, 730, 735, 740, 745, 750 |
| 755 – 800 | 755, 760, 765, 770, 775, 780, 785, 790, 795, 800 |
| 805 – 850 | 805, 810, 815, 820, 825, 830, 835, 840, 845, 850 |
| 855 – 900 | 855, 860, 865, 870, 875, 880, 885, 890, 895, 900 |
| 905 – 950 | 905, 910, 915, 920, 925, 930, 935, 940, 945, 950 |
| 955 – 1000 | 955, 960, 965, 970, 975, 980, 985, 990, 995, 1000 |
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:
- 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!
- 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.
- 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:
| Ends in 0 or 5? | Even or Odd? | |
|---|---|---|
| 5 | Yes (5) | Odd |
| 10 | Yes (0) | Even |
| 15 | Yes (5) | Odd |
| 20 | Yes (0) | Even |
| 25 | Yes (5) | Odd |
[Alt Text: A chart showing that multiples of 5 always end in 0 or 5 and alternate between even and odd numbers.]
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:
Method 1: Last Digit Check (Fastest!)
Simply look at the very last digit of the number.
- If it ends in 0 or 5 → it is a multiple of 5
- If it ends in anything else → it is not
Example 1:
- Is 4590 a multiple of 5?
- Last digit is 0 → ✅ Yes
Example 2:
- Is 783 a multiple of 5?
- Last digit is 3 → ❌ No
Method 2: Skip Counting by 5
For smaller numbers, start at 0 and keep adding 5. If you reach the number, it is a multiple of 5.
Example:
- Is 35 a multiple of 5?
- Count: 5, 10, 15, 20, 25, 30, 35 → ✅ Yes
Common Multiples of 5 and Other Numbers
A common multiple is a number that is a multiple of both numbers at the same time.
The Least Common Multiple (LCM) is the smallest common multiple of two numbers.
| Numbers | First Few Common Multiples | LCM |
|---|---|---|
| 5 and 2 | 10, 20, 30 | 10 |
| 5 and 3 | 15, 30, 45 | 15 |
| 5 and 4 | 20, 40, 60 | 20 |
| 5 and 6 | 30, 60, 90 | 30 |
| 5 and 7 | 35, 70, 105 | 35 |
| 5 and 8 | 40, 80, 120 | 40 |
| 5 and 9 | 45, 90, 135 | 45 |
| 5 and 10 | 10, 20, 30 | 10 |
Quick Summary Table
| Topic | Answer |
|---|---|
| First positive multiple of 5 | 5 |
| First 10 multiples of 5 | 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 |
| Multiples of 5 up to 100 | 5 to 100 |
| Number of positive multiples of 5 up to 100 | 20 |
| Is 0 a multiple of 5? | Yes |
| Is 100 a multiple of 5? | Yes |
| Is 123 a multiple of 5? | No |
| Rule for multiples of 5 | Ends in 0 or 5 |
Examples and Solved Problems
Example 1:
- Is 65 a multiple of 5?
- 65 ÷ 5 = 13 → whole number
- Yes, 65 is a multiple of 5.
Example 2:
- Is 42 a multiple of 5?
- Last digit is 2 → not 0 or 5
- No, 42 is not a multiple of 5.
Example 3:
- Find the next three multiples of 5 after 30.
- 30 + 5 = 35
- 35 + 5 = 40
- 40 + 5 = 45
- Answer: 35, 40, 45
Example 4:
- Sarah has 8 nickels. Each nickel is worth 5 cents. How many cents does she have in total?
- 5 × 8 = 40
- Answer: 40 cents.
Example 5:
- How many multiples of 5 are there?
- There is no limit. Multiples of 5 go on forever.
Multiplication Tables
Multiplication Tables From 2-12
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.
| Multiplication Chart | Article Link |
| 2 | multiples of 2 |
| 3 | multiples of 3 |
| 4 | multiples of 4 |
| 5 | multiples of 5 (this blog) |
| 6 | multiples of 6 |
| 7 | multiples of 7 |
| 8 | multiples of 8 |
| 9 | multiples of 9 |
| 11 | multiples of 11 |
| 12 | multiples of 12 |
FAQs about Multiples of 5
A: Usually, when we talk about multiples in school, we mean positive integers. The smallest positive multiple of 5 is 5 (5×15×1). However, 0 is also technically a multiple because 5×0=0.
A: Yes! If a number ends in 5, it is always a multiple of 5, regardless of how large the number is.
A: There are 20 multiples of 5 between 1 and 100 (100/5=20). They are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, and 100.
A: Yes. Multiples include multiplication by negative integers. So, -5, -10, and -15 are also multiples of 5.
A: To find this, simply multiply 5×1005×100. The answer is 500.
A: They are used for telling time (5-minute intervals), counting money (nickels and $5 bills), and they form the basis of the decimal system we use every day.
Final Takeaway
Multiples of 5 are some of the easiest numbers to recognize in math. With the simple “ends in 0 or 5” rule, you can spot them instantly, even for very large numbers.
Key Takeaways:
- Multiples of 5 come from multiplying 5 by whole numbers
- Every multiple of 5 ends in either 0 or 5
- They alternate between odd and even numbers
- They are used every day for telling time and counting money
If your child needs extra practice with multiplication or multiples, WuKong Math offers personalized 1-on-1 classes with expert teachers. We use fun, interactive lessons to make math easy and enjoyable for kids of all ages.
Discovering the maths whiz in every child,
that’s what we do.
Suitable for students worldwide, from grades 1 to 12.
Get started free!
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.
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