# Multiples of 48

Created by: Team Maths - Examples.com, Last Updated: May 29, 2024

## Multiples of 48

Multiples of 48 are numbers that can be obtained by multiplying 48 by any integer. These numbers are part of a larger set known as multiples, which are products of a given number and whole numbers. In mathematics, understanding multiples is crucial as it involves key concepts like multiplication, factors, and divisors. Identifying the multiples of 48 helps in various mathematical operations and problem-solving. By studying the multiples of 48, we gain insights into patterns and relationships among integers, which is foundational in number theory.

## What are Multiples of 48?

Multiples of 48 are the numbers that result from multiplying 48 by any integer. In mathematics, these multiples can be represented as 48, 96, 144, and so on. Each multiple shares 48 as a common factor and can be evenly divided by 48.

Prime Factorization of 48: 2×2×2×2×3 First 10 Multiples of 48 are 48, 96, 144, 192, 240, 288, 336, 384, 432, 480.

Table of 48

## Important Notes

### Definition

Multiples of 48 are numbers that can be expressed as 48 times any integer (e.g., 48, 96, 144).

### Sequence

The sequence of multiples of 48 begins with 48, 96, 144, 192, 240, and continues infinitely by adding 48 repeatedly.

### Divisibility

Any multiple of 48 is divisible by both 48 and its factors, such as 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

### Calculation

To find the nth multiple of 48, multiply 48 by n (e.g., the 5th multiple of 48 is 48 x 5 = 240).

### Patterns

Multiples of 48 have certain patterns in their digits:

• The last digit of a multiple of 48 is usually 0 or 8.
• Every multiple of 48 is also a multiple of both 3 and 16, as 48 = 3 x 16.

## Examples on Multiples of 48

### Simple Multiples

• 192: 48 × 4 = 192
• 288: 48 × 6 = 288
• 336: 48 × 7 = 336

### Larger Multiples

• 480: 48 × 10 = 480
• 960: 48 × 20 = 960

### Real-Life Examples

• Distance: The length of 960 meters can be seen as a multiple of 48 because 48 × 20 = 960.
• Time: 720 minutes (or 12 hours) is a multiple of 48 because 48 × 15 = 720.
• Weight: 240 pounds is a multiple of 48 because 48 × 5 = 240.

## Practical Examples of Multiples of 48

### What is the 15th multiple of 48?

The 15th multiple of 48 is 48 × 15 = 720.

### Is 576 a multiple of 48?

Yes, 576 is a multiple of 48 because 48 × 12 = 576.

### What is the next multiple of 48 after 384?

The next multiple of 48 after 384 is 384 + 48 = 432.

### Find the 25th multiple of 48.

The 25th multiple of 48 is 48 × 25 = 1200.

### Is 973 a multiple of 48?

No, 973 is not a multiple of 48 because it cannot be expressed as 48 × n, where n is an integer.

## What is a multiple of 48?

A multiple of 48 is any number that can be expressed as 48 times an integer. For example, 48, 96, and 144 are multiples of 48.

## How do you find the multiples of 48?

To find multiples of 48, multiply 48 by any whole number (integer). For example:
48 × 1 = 48
48 × 2 = 96
48 × 3 = 144

## Is 192 a multiple of 48?

Yes, 192 is a multiple of 48 because 48 × 4 = 192.

## What is the 10th multiple of 48?

The 10th multiple of 48 is 48 × 10, which equals 480.

## Are all multiples of 48 even numbers?

Yes, all multiples of 48 are even numbers because 48 itself is an even number, and the product of an even number with any integer is always even.

## Can a multiple of 48 be a prime number?

No, a multiple of 48 cannot be a prime number. Prime numbers have only two distinct positive divisors: 1 and themselves. Multiples of 48 have at least three divisors: 1, 48, and the product itself.

## What is the smallest multiple of 48 greater than 100?

The smallest multiple of 48 greater than 100 is 144 because 48 × 3 = 144.

## What are the first five multiples of 48?

The first five multiples of 48 are:
48 × 1 = 48
48 × 2 = 96
48 × 3 = 144
48 × 4 = 192
48 × 5 = 240

## Is 500 a multiple of 48?

No, 500 is not a multiple of 48. When you divide 500 by 48, the result is not an integer (500 ÷ 48 ≈ 10.4167).

## How can multiples of 48 be used in real life?

Multiples of 48 can be useful in various real-life situations such as:
Packaging items in batches of 48.
Arranging seating in rows and columns for events with 48 seats per row.
Calculating bulk quantities, like buying 48 units of a product.

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