The Multiples of 8 Explained: Complete List, Examples for Kids

To find the multiples of 8, you can either multiply 8 by consecutive whole numbers or simply skip-count upward by 8s. This produces the initial set: 8, 16, 24, 32, 40, 48, 56, 64, 72, and 80, all of which leave a remainder of zero when divided by 8.

This mathematical concept forms a core component of the 4th-grade U.S. Common Core State Standards. Categorized under Operations & Algebraic Thinking (standard 4.OA.B.4), this benchmark requires learners to recognize factor-multiple relationships, determine if given numbers are multiples of single digits, and leverage this knowledge to solve contextualized math problems.

Multiples of 8 Checkers

What Are Multiples of 8?

In mathematics, multiples of 8 are numbers generated by multiplying 8 with any natural number (1, 2, 3, …). Formally, a number is a multiple of 8 if it can be expressed as 8 × n, where n is a positive integer. For instance:

• When n = 1, the first multiple is 8 × 1 = 8.
• When n = 2, it becomes 8 × 2 = 16, and so on.

These numbers form a sequence where each term increases by 8 (e.g., 8, 16, 24, 32, …). A key property of multiples is divisibility: any multiple of 8 divided by 8 yields an integer with no remainder. For example, 24 ÷ 8 = 3 (no remainder), confirming 24 is a multiple of 8, while 25 ÷ 8 = 3.125 (remainder) excludes 25 from this category.

How to Find All Multiples of 8

1. Multiplication Method

Multiply 8 by each natural number sequentially:

• 8 × 1 = 8
• 8 × 2 = 16
• 8 × 3 = 24
• 8 × 4 = 32
• Continue this pattern to generate as many multiples as needed.

2. Division Method

Check if a number divided by 8 results in an integer. For example:

• 56 ÷ 8 = 7 (integer → 56 is a multiple of 8).
• 62 ÷ 8 = 7.75 (non-integer → 62 is not a multiple of 8).

The multiplication method is ideal for generating lists, while the division method verifies specific numbers.

List of Multiples of 8 Less Than 150

Using the multiplication method with n from 1 to 18 (since 8 × 18 = 144), we get:

This table simplifies referencing multiples by their position (n).

How many multiples of 8 are in 100?

To find how many multiples of 8 are in 100, divide 100 by 8:

100 ÷ 8 = 12.5

Since a multiple must be a whole number, we only count the whole numbers before 12.5. That means:

• The largest multiple of 8 less than or equal to 100 is 96
• There are 12 multiples of 8 in 100

Here are the multiples of 8 up to 100:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

So, 12 numbers between 1 and 100 are multiples of 8.

What are the Multiples of 8 Up to 1000?

Practical Applications and Learning Tips

1. Use Multiplication Tables

Create a table for 8 and practice reciting it:

• 8 × 1 = 8 (1 group of 8)
• 8 × 2 = 16 (2 groups of 8)
• 8 × 3 = 24 (3 groups of 8)
  This reinforces the link between multiplication and multiples.

2. Identify Common Multiples

Practice finding shared multiples of 8 and other numbers (e.g., 24, 48, 72 for 8 and 6). This strengthens understanding of LCM and helps solve problems involving fractions or periodic events (e.g., scheduling tasks repeating every 8 or 6 days).

3. Apply Real-World Examples

Relate multiples to daily scenarios:

• Time: 8 hours (a work shift), 16 hours (two shifts), 24 hours (a day).
• Measurement: 8 inches, 16 inches, 24 inches (conversions).
• Nature: If a garden has 8 flowers per row, 3 rows yield 24 flowers (a multiple of 8).

4. Utilize Online Resources

Educational apps and interactive tools offer games, quizzes, and visual aids to engage learners and simplify memorization.

Common Mistakes to Avoid about Multiples of 8

• Confusing Factors with Multiples: Factors divide a number (e.g., 4 is a factor of 8), while multiples are products (e.g., 40 is a multiple of 8).
• Forgetting Zero: While 8 × 0 = 0 is technically a multiple, most contexts focus on natural number multiples (starting from 8).
• Incorrect Division Checks: Ensure division yields an integer. For example, 70 ÷ 8 = 8.75 is not a multiple, even though 70 is close to 64 (8×8) and 72 (8×9).

FAQs

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.

Conclusion

Mastering multiples of 8 is foundational for advanced math concepts like LCM, fractions, and number patterns. By leveraging multiplication, division, tables, and real-world examples, learners can effortlessly generate, identify, and apply these multiples.

Demi | WuKong Math Teacher

I am an educator from Yale University with ten years of experience in this field. I believe that with my professional knowledge and teaching skills, I will be able to contribute to the development of Wukong Education. I will share the psychology of children’s education and learning strategies in this community, hoping to provide quality learning resources for more children.