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:

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

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