# Multiples of 108

Created by: Team Maths - Examples.com, Last Updated: May 31, 2024

## Multiples of 108

Multiples of 108 are numbers obtained by multiplying 108 with integers. In mathematics, these multiples are integral parts of the study of multiplication, which involves producing numbers through repeated addition. Each multiple of 108 is a product of 108 and another whole number, making them essential in understanding the relationship between divisors, factors, and multiples. For instance, 216, 324, and 432 are all multiples of 108, illustrating how the base number interacts with different integers. These multiples play a significant role in various mathematical concepts and applications.

## What are Multiples of 108?

Multiples of 108 are numbers obtained by multiplying 108 by integers such as 1, 2, 3, etc. In mathematics, these multiples are part of number theory, showing the repeated addition of 108. Each multiple of 108 is a product that can be evenly divided by 108.

Prime Factorization of 108: 2 × 2 × 3 × 3 × 3 First 10 Multiples of 108 are 108, 216, 324, 432, 540, 648, 756, 864, 972, 1080.

Table of 108

## Important Notes

### Definition of Multiples

• Multiples of 108 are numbers that can be divided by 108 without leaving a remainder.
• They are generated by multiplying 108 by whole numbers (1, 2, 3, etc.).

### First Few Multiples

• The first few multiples of 108 are: 108, 216, 324, 432, 540, 648, 756, 864, 972, and 1080.
• These multiples can be found by sequentially adding 108 or multiplying 108 by the integers 1 through 10.

### Properties of Multiples

• Divisibility: All multiples of 108 are divisible by 108.
• Even Numbers: Since 108 is even, all its multiples are also even numbers.
• Common Multiples: 108 shares common multiples with other numbers. For instance, 216 is a common multiple of 108 and 54.

### Finding Multiples

• To find if a number NNN is a multiple of 108, check if N÷108 results in an integer.
• Example: 540 is a multiple of 108 because 540÷108 = 5, which is an integer.

### Application of Multiples

• Least Common Multiple (LCM): Multiples of 108 are useful when calculating the LCM of two or more numbers.
• Real-World Uses: Multiples of 108 can appear in scenarios involving repeated cycles or intervals, such as time intervals, packaging, and resource allocation.

## Examples on Multiples of 108

### First Ten Multiples of 108:

• 108 × 1 = 108
• 108 × 2 = 216
• 108 × 3 = 324
• 108 × 4 = 432
• 108 × 5 = 540
• 108 × 6 = 648
• 108 × 7 = 756
• 108 × 8 = 864
• 108 × 9 = 972
• 108 × 10 = 1080

### Properties and Patterns:

Additive Property: The sum of two multiples of 108 is also a multiple of 108.

Example: 216 + 324 = 540 (both 216 and 324 are multiples of 108, and so is 540).

Subtracting Property: The difference between two multiples of 108 is also a multiple of 108.

Example: 864 – 540 = 324 (both 864 and 540 are multiples of 108, and so is 324).

### Real-world Applications:

Scheduling: If an event occurs every 108 days, the schedule can be determined using multiples of 108.

Example: If an event starts on January 1st, the next occurrence will be on April 19th (108 days later), then on August 5th (216 days later), and so on.

Bulk Quantities: In manufacturing, ordering parts in multiples of 108 can help in inventory management.

Example: If a factory orders bolts in batches of 108, ordering 5 batches means they receive 540 bolts (5 × 108).

### Large Multiples:

• 108 × 20 = 2160
• 108 × 50 = 5400
• 108 × 100 = 10800
• 108 × 500 = 54000

## Practical Example in Measurements:

Distance: If a train travels 108 miles in one trip, then over multiple trips, the distance covered can be calculated using multiples of 108.

Example: Over 3 trips, the train travels 324 miles (108 × 3 = 324).

## What makes 108 a significant number in various cultures and religions?

Explore the spiritual significance of 108 in Hinduism, Buddhism, and other belief systems.

## How many multiples of 108 are there between 1 and 1000?

Calculate the number of multiples and understand their distribution within this range.

## Are there any interesting mathematical properties of multiples of 108?

Delve into the mathematical patterns or unique characteristics that multiples of 108 exhibit.

## How can multiples of 108 be useful in everyday life or practical applications?

Discover real-world scenarios where multiples of 108 play a role, such as time measurements or geometric calculations.

## Do multiples of 108 have any connections to astronomy or celestial phenomena?

Explore any astronomical connections, such as the significance of 108 in relation to celestial bodies or events.

## Are there any cultural or historical reasons behind the choice of 108 for various practices?

Investigate the cultural or historical origins that led to the prominence of 108 in rituals, traditions, or customs.

## Can multiples of 108 be expressed in unique mathematical sequences or series?

Explore how multiples of 108 fit into different mathematical sequences, such as Fibonacci or Lucas numbers.

## What role do multiples of 108 play in meditation, yoga, or mindfulness practices?

Understand the significance of 108 in practices like mantra recitation, meditation bead counts, or yoga poses.

## Are there any interesting facts or trivia related to multiples of 108?

Discover fascinating tidbits or lesser-known facts about multiples of 108 from various cultures or disciplines.

## How do multiples of 108 compare to multiples of other numbers in terms of their properties or significance?

Compare and contrast the properties, cultural significance, and mathematical attributes of multiples of 108 with those of other numbers.

Text prompt