Multiples of 48

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Created by: Team Maths - Examples.com, Last Updated: August 21, 2024

Multiples of 48

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.

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

NumberReasonRemainder
192192 is a multiple of 48 because 48 × 4 = 1920
288288 is a multiple of 48 because 48 × 6 = 2880
336336 is a multiple of 48 because 48 × 7 = 3360
432432 is a multiple of 48 because 48 × 9 = 4320
500500 is not a multiple of 48 because 48 × 10 = 480 with a remainder of 2020

List of First 100 Multiples of 48 with Remainders

List-of-First-100-Multiples-of-48
NumberReasonRemainder
4848 is a multiple of 48 because 48 × 1 = 480
9696 is a multiple of 48 because 48 × 2 = 960
144144 is a multiple of 48 because 48 × 3 = 1440
192192 is a multiple of 48 because 48 × 4 = 1920
240240 is a multiple of 48 because 48 × 5 = 2400
288288 is a multiple of 48 because 48 × 6 = 2880
336336 is a multiple of 48 because 48 × 7 = 3360
384384 is a multiple of 48 because 48 × 8 = 3840
432432 is a multiple of 48 because 48 × 9 = 4320
480480 is a multiple of 48 because 48 × 10 = 4800
528528 is a multiple of 48 because 48 × 11 = 5280
576576 is a multiple of 48 because 48 × 12 = 5760
624624 is a multiple of 48 because 48 × 13 = 6240
672672 is a multiple of 48 because 48 × 14 = 6720
720720 is a multiple of 48 because 48 × 15 = 7200
768768 is a multiple of 48 because 48 × 16 = 7680
816816 is a multiple of 48 because 48 × 17 = 8160
864864 is a multiple of 48 because 48 × 18 = 8640
912912 is a multiple of 48 because 48 × 19 = 9120
960960 is a multiple of 48 because 48 × 20 = 9600
10081008 is a multiple of 48 because 48 × 21 = 10080
10561056 is a multiple of 48 because 48 × 22 = 10560
11041104 is a multiple of 48 because 48 × 23 = 11040
11521152 is a multiple of 48 because 48 × 24 = 11520
12001200 is a multiple of 48 because 48 × 25 = 12000
12481248 is a multiple of 48 because 48 × 26 = 12480
12961296 is a multiple of 48 because 48 × 27 = 12960
13441344 is a multiple of 48 because 48 × 28 = 13440
13921392 is a multiple of 48 because 48 × 29 = 13920
14401440 is a multiple of 48 because 48 × 30 = 14400
14881488 is a multiple of 48 because 48 × 31 = 14880
15361536 is a multiple of 48 because 48 × 32 = 15360
15841584 is a multiple of 48 because 48 × 33 = 15840
16321632 is a multiple of 48 because 48 × 34 = 16320
16801680 is a multiple of 48 because 48 × 35 = 16800
17281728 is a multiple of 48 because 48 × 36 = 17280
17761776 is a multiple of 48 because 48 × 37 = 17760
18241824 is a multiple of 48 because 48 × 38 = 18240
18721872 is a multiple of 48 because 48 × 39 = 18720
19201920 is a multiple of 48 because 48 × 40 = 19200
19681968 is a multiple of 48 because 48 × 41 = 19680
20162016 is a multiple of 48 because 48 × 42 = 20160
20642064 is a multiple of 48 because 48 × 43 = 20640
21122112 is a multiple of 48 because 48 × 44 = 21120
21602160 is a multiple of 48 because 48 × 45 = 21600
22082208 is a multiple of 48 because 48 × 46 = 22080
22562256 is a multiple of 48 because 48 × 47 = 22560
23042304 is a multiple of 48 because 48 × 48 = 23040
23522352 is a multiple of 48 because 48 × 49 = 23520
24002400 is a multiple of 48 because 48 × 50 = 24000
24482448 is a multiple of 48 because 48 × 51 = 24480
24962496 is a multiple of 48 because 48 × 52 = 24960
25442544 is a multiple of 48 because 48 × 53 = 25440
25922592 is a multiple of 48 because 48 × 54 = 25920
26402640 is a multiple of 48 because 48 × 55 = 26400
26882688 is a multiple of 48 because 48 × 56 = 26880
27362736 is a multiple of 48 because 48 × 57 = 27360
27842784 is a multiple of 48 because 48 × 58 = 27840
28322832 is a multiple of 48 because 48 × 59 = 28320
28802880 is a multiple of 48 because 48 × 60 = 28800
29282928 is a multiple of 48 because 48 × 61 = 29280
29762976 is a multiple of 48 because 48 × 62 = 29760
30243024 is a multiple of 48 because 48 × 63 = 30240
30723072 is a multiple of 48 because 48 × 64 = 30720
31203120 is a multiple of 48 because 48 × 65 = 31200
31683168 is a multiple of 48 because 48 × 66 = 31680
32163216 is a multiple of 48 because 48 × 67 = 32160
32643264 is a multiple of 48 because 48 × 68 = 32640
33123312 is a multiple of 48 because 48 × 69 = 33120
33603360 is a multiple of 48 because 48 × 70 = 33600
34083408 is a multiple of 48 because 48 × 71 = 34080
34563456 is a multiple of 48 because 48 × 72 = 34560
35043504 is a multiple of 48 because 48 × 73 = 35040
35523552 is a multiple of 48 because 48 × 74 = 35520
36003600 is a multiple of 48 because 48 × 75 = 36000
36483648 is a multiple of 48 because 48 × 76 = 36480
36963696 is a multiple of 48 because 48 × 77 = 36960
37443744 is a multiple of 48 because 48 × 78 = 37440
37923792 is a multiple of 48 because 48 × 79 = 37920
38403840 is a multiple of 48 because 48 × 80 = 38400
38883888 is a multiple of 48 because 48 × 81 = 38880
39363936 is a multiple of 48 because 48 × 82 = 39360
39843984 is a multiple of 48 because 48 × 83 = 39840
40324032 is a multiple of 48 because 48 × 84 = 40320
40804080 is a multiple of 48 because 48 × 85 = 40800
41284128 is a multiple of 48 because 48 × 86 = 41280
41764176 is a multiple of 48 because 48 × 87 = 41760
42244224 is a multiple of 48 because 48 × 88 = 42240
42724272 is a multiple of 48 because 48 × 89 = 42720
43204320 is a multiple of 48 because 48 × 90 = 43200
43684368 is a multiple of 48 because 48 × 91 = 43680
44164416 is a multiple of 48 because 48 × 92 = 44160
44644464 is a multiple of 48 because 48 × 93 = 44640
45124512 is a multiple of 48 because 48 × 94 = 45120
45604560 is a multiple of 48 because 48 × 95 = 45600
46084608 is a multiple of 48 because 48 × 96 = 46080
46564656 is a multiple of 48 because 48 × 97 = 46560
47044704 is a multiple of 48 because 48 × 98 = 47040
47524752 is a multiple of 48 because 48 × 99 = 47520
48004800 is a multiple of 48 because 48 × 100 = 48000

Read More About Multiples of 48

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.

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.

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