Multiples of 8| How to Find All the Multiples of Number 8?

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:

Order (n)	Expression	Value
1	8 × 1	8
2	8 × 2	16
3	8 × 3	24
4	8 × 4	32
5	8 × 5	40
6	8 × 6	48
7	8 × 7	56
8	8 × 8	64
9	8 × 9	72
10	8 × 10	80
11	8 × 11	88
12	8 × 12	96
13	8 × 13	104
14	8 × 14	112
15	8 × 15	120
16	8 × 16	128
17	8 × 17	136
18	8 × 18	144

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

What Is the 5th Multiple of 8?

The 5th multiple is 8 × 5 = 40. Listing the first five multiples confirms this: 8, 16, 24, 32, 40. The fifth number in the sequence is 40, directly linking the position to the multiplier n.

Multiples of 8 Chart

A visual chart organizes multiples systematically. Below is a grid of the first 20 multiples of 8, grouped into rows of 5:

Row 1	Row 2	Row 3	Row 4
8	40	72	104
16	48	80	112
24	56	88	120
32	64	96	128
3rd	6th	9th	12th
24	48	72	96

This layout highlights patterns like the constant difference of 8 between consecutive multiples and aids memorization through grouping.

FAQs About Multiples of 8

How Do You Find the Multiples of 8?

Multiples of 8 are generated by multiplying 8 with natural numbers (8 × n) or verifying divisibility by 8 (no remainder). For example, the 10th multiple is 8 × 10 = 80.

What Are the Six Multiples of 8?

The first six multiples are:

1. 8 × 1 = 8
2. 8 × 2 = 16
3. 8 × 3 = 24
4. 8 × 4 = 32
5. 8 × 5 = 40
6. 8 × 6 = 48

Thus, the list is: 8, 16, 24, 32, 40, 48

What Are the Factors and Multiples of 8?

• Factors of 8: Numbers that divide 8 exactly (1, 2, 4, 8).
• Multiples of 8: Numbers formed by multiplying 8 with natural numbers (8, 16, 24, 32, …).

Factors are finite, while multiples are infinite.

How Do You Find the Multiples of a Number?

Multiply the number by 1, 2, 3, etc. For example, multiples of 12 include 12, 24, 36, 48, … This method applies to any given number.

What Number Is a Multiple of 12?

Examples include 12, 24, 36, 48, 60, … Notice that 24 and 48 are also multiples of 8, illustrating common multiples—numbers divisible by two or more integers. The least common multiple (LCM) of 8 and 12 is 24, the smallest number divisible by both.

Multiples of 8 Through 100

Listing multiples of 8 up to 100 (using n = 12, as 8 × 12 = 96):
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

This sequence reveals a cyclic pattern in the last digit: 8, 6, 4, 2, 0 (e.g., 8, 16, 24, 32, 40, 48…). Recognizing this pattern aids quick identification and memorization.

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

• 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).

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. Consistent practice—whether through online math classes, charts, quizzes, or daily applications—solidifies understanding and builds confidence in problem-solving.