# Multiples of 102

Created by: Team Maths - Examples.com, Last Updated: May 30, 2024

## Multiples of 102

Multiples of 102 are obtained by multiplying 102 by any integer. These numbers are part of a sequence where each term is 102 times an integer, demonstrating basic principles of multiplication and integer arithmetic. Understanding multiples helps in identifying divisors and factors of numbers, which are fundamental concepts in mathematics. For instance, 204, 306, and 408 are some of the multiples of 102. Multiples play a crucial role in solving various mathematical problems involving divisibility and factorization.

## What are Multiples of 102?

Multiples of 102 are numbers obtained by multiplying 102 with any integer. They are in the form 102n, where n is an integer. Examples include 102, 204, 306, and so on.

Prime Factorization of 102: 2 × 3 × 17 First 10 Multiples of 102 are 102, 204, 306, 408, 510, 612, 714, 816, 918, 1020.

Table of 102

## Important Notes

### Step 1: Understanding Multiples

A multiple of a number is the product of that number and an integer. In this case, the multiples of 102 are obtained by multiplying 102 by integers such as 1, 2, 3, and so on.

### Step 2: First Five Multiples of 102

To get a clear understanding, let’s list the first five multiples of 102:

• 102×1 = 102
• 102×2 = 204
• 102×3 = 306
• 102×4 = 408
• 102×5 = 510

### Step 3: Patterns in Multiples

When you observe the multiples of 102, a pattern emerges:

• The digits of the multiples increase consistently.
• Each multiple is 102 units more than the previous multiple.

### Step 4: Properties of Multiples of 102

• Divisibility: Every multiple of 102 is divisible by 2, 3, and 17 (since 102 = 2×3×17).
• Even Numbers: All multiples of 102 are even numbers because 102 itself is even.
• Digit Sum Rule: The sum of the digits of multiples of 102 increases in a predictable manner. For example, 102:1+0+2 = 3, 204:2+0+4 = 6, etc.

### Step 5: Practical Applications

• Real-World Use: Understanding multiples of 102 can be useful in scenarios involving bulk calculations, such as packaging items in sets of 102.
• Mathematical Problems: Multiples are often used in problems involving Least Common Multiple (LCM) and Greatest Common Divisor (GCD).

## Examples on Multiples of 102

### Simple Multiples

• 204: 102×2 = 204
• 306: 102×3 = 306
• 408: 102×4 = 408

### Larger Multiples

• 1020: 102×10 = 1020
• 2040: 102×20 = 2040
• 3060: 102×30 = 3060

### Real-Life Examples

• Distance: 1020 kilometers is a multiple of 102 because 102×10 = 1020.
• Weight: A cargo weighing 2040 kilograms is a multiple of 102 because 102×20 = 2040.
• Time: 3060 seconds (51 minutes) is a multiple of 102 because 102×30 = 3060.

## Practical Examples of Multiples of 102

### What is the 15th multiple of 102?

The 15th multiple of 102 is 102×15 = 1530.

### Is 612 a multiple of 102?

Yes, 612 is a multiple of 102 because 102×6 = 612.

### What is the next multiple of 102 after 918?

The next multiple of 102 after 918 is 918+102 = 1020.

### Find the 25th multiple of 102.

The 25th multiple of 102 is 102×25 = 2550.

### Is 1210 a multiple of 102?

No, 1210 is not a multiple of 102 because it cannot be expressed as 102×n.

## What are the first five multiples of 102?

The first five multiples of 102 are:
102 × 1 = 102
102 × 2 = 204
102 × 3 = 306
102 × 4 = 408
102 × 5 = 510

## Is 306 a multiple of 102?

Yes, 306 is a multiple of 102 because 102 × 3 = 306.

## How can you check if a number is a multiple of 102?

To check if a number is a multiple of 102, divide the number by 102. If the result is a whole number with no remainder, then it is a multiple of 102.

## What is the 10th multiple of 102?

The 10th multiple of 102 is 102 × 10 = 1020.

## Are 510 and 1020 multiples of 102?

Yes, both 510 and 1020 are multiples of 102.
510 = 102 × 5
1020 = 102 × 10

## What is the smallest multiple of 102 greater than 1000?

The smallest multiple of 102 greater than 1000 is 1020 (102 × 10).

## Is 818 a multiple of 102?

No, 818 is not a multiple of 102 because 818 divided by 102 does not result in an integer.

## What is the greatest multiple of 102 less than 1000?

The greatest multiple of 102 less than 1000 is 918 (102 × 9).

## How many multiples of 102 are there between 500 and 1500?

To find the multiples of 102 between 500 and 1500, calculate the first multiple greater than 500 and the last multiple less than 1500.
First multiple greater than 500: 102 × 5 = 510
Last multiple less than 1500: 102 × 14 = 1428 There are 10 multiples: 510, 612, 714, 816, 918, 1020, 1122, 1224, 1326, and 1428.

## Is 2048 a multiple of 102?

No, 2048 is not a multiple of 102 because 2048 divided by 102 does not result in an integer.

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