## 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?

**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

**.**

## For example, 192, 288, 336 and 432 are all multiples of 48, 500 is not a multiple of 48 for the following reasons:

Number | Reason | Remainder |
---|---|---|

192 | 192 is a multiple of 48 because 48 × 4 = 192 | 0 |

288 | 288 is a multiple of 48 because 48 × 6 = 288 | 0 |

336 | 336 is a multiple of 48 because 48 × 7 = 336 | 0 |

432 | 432 is a multiple of 48 because 48 × 9 = 432 | 0 |

500 | 500 is not a multiple of 48 because 48 × 10 = 480 with a remainder of 20 | 20 |

## List of First 100 Multiples of 48 with Remainders

Number | Reason | Remainder |
---|---|---|

48 | 48 is a multiple of 48 because 48 × 1 = 48 | 0 |

96 | 96 is a multiple of 48 because 48 × 2 = 96 | 0 |

144 | 144 is a multiple of 48 because 48 × 3 = 144 | 0 |

192 | 192 is a multiple of 48 because 48 × 4 = 192 | 0 |

240 | 240 is a multiple of 48 because 48 × 5 = 240 | 0 |

288 | 288 is a multiple of 48 because 48 × 6 = 288 | 0 |

336 | 336 is a multiple of 48 because 48 × 7 = 336 | 0 |

384 | 384 is a multiple of 48 because 48 × 8 = 384 | 0 |

432 | 432 is a multiple of 48 because 48 × 9 = 432 | 0 |

480 | 480 is a multiple of 48 because 48 × 10 = 480 | 0 |

528 | 528 is a multiple of 48 because 48 × 11 = 528 | 0 |

576 | 576 is a multiple of 48 because 48 × 12 = 576 | 0 |

624 | 624 is a multiple of 48 because 48 × 13 = 624 | 0 |

672 | 672 is a multiple of 48 because 48 × 14 = 672 | 0 |

720 | 720 is a multiple of 48 because 48 × 15 = 720 | 0 |

768 | 768 is a multiple of 48 because 48 × 16 = 768 | 0 |

816 | 816 is a multiple of 48 because 48 × 17 = 816 | 0 |

864 | 864 is a multiple of 48 because 48 × 18 = 864 | 0 |

912 | 912 is a multiple of 48 because 48 × 19 = 912 | 0 |

960 | 960 is a multiple of 48 because 48 × 20 = 960 | 0 |

1008 | 1008 is a multiple of 48 because 48 × 21 = 1008 | 0 |

1056 | 1056 is a multiple of 48 because 48 × 22 = 1056 | 0 |

1104 | 1104 is a multiple of 48 because 48 × 23 = 1104 | 0 |

1152 | 1152 is a multiple of 48 because 48 × 24 = 1152 | 0 |

1200 | 1200 is a multiple of 48 because 48 × 25 = 1200 | 0 |

1248 | 1248 is a multiple of 48 because 48 × 26 = 1248 | 0 |

1296 | 1296 is a multiple of 48 because 48 × 27 = 1296 | 0 |

1344 | 1344 is a multiple of 48 because 48 × 28 = 1344 | 0 |

1392 | 1392 is a multiple of 48 because 48 × 29 = 1392 | 0 |

1440 | 1440 is a multiple of 48 because 48 × 30 = 1440 | 0 |

1488 | 1488 is a multiple of 48 because 48 × 31 = 1488 | 0 |

1536 | 1536 is a multiple of 48 because 48 × 32 = 1536 | 0 |

1584 | 1584 is a multiple of 48 because 48 × 33 = 1584 | 0 |

1632 | 1632 is a multiple of 48 because 48 × 34 = 1632 | 0 |

1680 | 1680 is a multiple of 48 because 48 × 35 = 1680 | 0 |

1728 | 1728 is a multiple of 48 because 48 × 36 = 1728 | 0 |

1776 | 1776 is a multiple of 48 because 48 × 37 = 1776 | 0 |

1824 | 1824 is a multiple of 48 because 48 × 38 = 1824 | 0 |

1872 | 1872 is a multiple of 48 because 48 × 39 = 1872 | 0 |

1920 | 1920 is a multiple of 48 because 48 × 40 = 1920 | 0 |

1968 | 1968 is a multiple of 48 because 48 × 41 = 1968 | 0 |

2016 | 2016 is a multiple of 48 because 48 × 42 = 2016 | 0 |

2064 | 2064 is a multiple of 48 because 48 × 43 = 2064 | 0 |

2112 | 2112 is a multiple of 48 because 48 × 44 = 2112 | 0 |

2160 | 2160 is a multiple of 48 because 48 × 45 = 2160 | 0 |

2208 | 2208 is a multiple of 48 because 48 × 46 = 2208 | 0 |

2256 | 2256 is a multiple of 48 because 48 × 47 = 2256 | 0 |

2304 | 2304 is a multiple of 48 because 48 × 48 = 2304 | 0 |

2352 | 2352 is a multiple of 48 because 48 × 49 = 2352 | 0 |

2400 | 2400 is a multiple of 48 because 48 × 50 = 2400 | 0 |

2448 | 2448 is a multiple of 48 because 48 × 51 = 2448 | 0 |

2496 | 2496 is a multiple of 48 because 48 × 52 = 2496 | 0 |

2544 | 2544 is a multiple of 48 because 48 × 53 = 2544 | 0 |

2592 | 2592 is a multiple of 48 because 48 × 54 = 2592 | 0 |

2640 | 2640 is a multiple of 48 because 48 × 55 = 2640 | 0 |

2688 | 2688 is a multiple of 48 because 48 × 56 = 2688 | 0 |

2736 | 2736 is a multiple of 48 because 48 × 57 = 2736 | 0 |

2784 | 2784 is a multiple of 48 because 48 × 58 = 2784 | 0 |

2832 | 2832 is a multiple of 48 because 48 × 59 = 2832 | 0 |

2880 | 2880 is a multiple of 48 because 48 × 60 = 2880 | 0 |

2928 | 2928 is a multiple of 48 because 48 × 61 = 2928 | 0 |

2976 | 2976 is a multiple of 48 because 48 × 62 = 2976 | 0 |

3024 | 3024 is a multiple of 48 because 48 × 63 = 3024 | 0 |

3072 | 3072 is a multiple of 48 because 48 × 64 = 3072 | 0 |

3120 | 3120 is a multiple of 48 because 48 × 65 = 3120 | 0 |

3168 | 3168 is a multiple of 48 because 48 × 66 = 3168 | 0 |

3216 | 3216 is a multiple of 48 because 48 × 67 = 3216 | 0 |

3264 | 3264 is a multiple of 48 because 48 × 68 = 3264 | 0 |

3312 | 3312 is a multiple of 48 because 48 × 69 = 3312 | 0 |

3360 | 3360 is a multiple of 48 because 48 × 70 = 3360 | 0 |

3408 | 3408 is a multiple of 48 because 48 × 71 = 3408 | 0 |

3456 | 3456 is a multiple of 48 because 48 × 72 = 3456 | 0 |

3504 | 3504 is a multiple of 48 because 48 × 73 = 3504 | 0 |

3552 | 3552 is a multiple of 48 because 48 × 74 = 3552 | 0 |

3600 | 3600 is a multiple of 48 because 48 × 75 = 3600 | 0 |

3648 | 3648 is a multiple of 48 because 48 × 76 = 3648 | 0 |

3696 | 3696 is a multiple of 48 because 48 × 77 = 3696 | 0 |

3744 | 3744 is a multiple of 48 because 48 × 78 = 3744 | 0 |

3792 | 3792 is a multiple of 48 because 48 × 79 = 3792 | 0 |

3840 | 3840 is a multiple of 48 because 48 × 80 = 3840 | 0 |

3888 | 3888 is a multiple of 48 because 48 × 81 = 3888 | 0 |

3936 | 3936 is a multiple of 48 because 48 × 82 = 3936 | 0 |

3984 | 3984 is a multiple of 48 because 48 × 83 = 3984 | 0 |

4032 | 4032 is a multiple of 48 because 48 × 84 = 4032 | 0 |

4080 | 4080 is a multiple of 48 because 48 × 85 = 4080 | 0 |

4128 | 4128 is a multiple of 48 because 48 × 86 = 4128 | 0 |

4176 | 4176 is a multiple of 48 because 48 × 87 = 4176 | 0 |

4224 | 4224 is a multiple of 48 because 48 × 88 = 4224 | 0 |

4272 | 4272 is a multiple of 48 because 48 × 89 = 4272 | 0 |

4320 | 4320 is a multiple of 48 because 48 × 90 = 4320 | 0 |

4368 | 4368 is a multiple of 48 because 48 × 91 = 4368 | 0 |

4416 | 4416 is a multiple of 48 because 48 × 92 = 4416 | 0 |

4464 | 4464 is a multiple of 48 because 48 × 93 = 4464 | 0 |

4512 | 4512 is a multiple of 48 because 48 × 94 = 4512 | 0 |

4560 | 4560 is a multiple of 48 because 48 × 95 = 4560 | 0 |

4608 | 4608 is a multiple of 48 because 48 × 96 = 4608 | 0 |

4656 | 4656 is a multiple of 48 because 48 × 97 = 4656 | 0 |

4704 | 4704 is a multiple of 48 because 48 × 98 = 4704 | 0 |

4752 | 4752 is a multiple of 48 because 48 × 99 = 4752 | 0 |

4800 | 4800 is a multiple of 48 because 48 × 100 = 4800 | 0 |

## Read More About Multiples 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.

## FAQs

## 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.