Multiples of 24

Multiples of 24 are the numbers that result from multiplying 24 by integers. In mathematics, these numbers can be expressed as 24, 48, 72, and so on, showcasing the results of multiplication. Each multiple of 24 can be divided evenly by 24, making 24 a common divisor among them. These multiples also represent a series of numbers where 24 is a factor. Understanding multiples of 24 helps in grasping concepts related to divisors, factors, and the broader number system in mathematics.

What are Multiples of 24?

Multiples of 24 are the numbers that can be expressed as 24n, where n is an integer. These numbers are the result of multiplying 24 by whole numbers, starting from 0. Examples include 24, 48, 72, and so on.

Prime factorization of 24: 24 = 2 × 2 × 2 × 3  First 10 multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240.

For example, 48, 96, 168 and 192 are all multiples of 24, 283 is not a multiple of 24 for the following reasons:

Number	Calculation	Reason	Remainder
48	48÷24 = 2	48 is a multiple of 24 because it divides evenly.	0
96	96÷24 = 4	96 is a multiple of 24 because it divides evenly.	0
168	168÷24 = 7	168 is a multiple of 24 because it divides evenly.	0
192	192÷24 = 8	192 is a multiple of 24 because it divides evenly.	0
283	283÷24 = 11	283 is not a multiple of 24 because it does not divide evenly.	19

List of First 100 Multiples of 24 with Remainders

Number	Reason	Remainder
24	24 is a multiple of 24 because 24 × 1 = 24	0
48	48 is a multiple of 24 because 24 × 2 = 48	0
72	72 is a multiple of 24 because 24 × 3 = 72	0
96	96 is a multiple of 24 because 24 × 4 = 96	0
120	120 is a multiple of 24 because 24 × 5 = 120	0
144	144 is a multiple of 24 because 24 × 6 = 144	0
168	168 is a multiple of 24 because 24 × 7 = 168	0
192	192 is a multiple of 24 because 24 × 8 = 192	0
216	216 is a multiple of 24 because 24 × 9 = 216	0
240	240 is a multiple of 24 because 24 × 10 = 240	0
264	264 is a multiple of 24 because 24 × 11 = 264	0
288	288 is a multiple of 24 because 24 × 12 = 288	0
312	312 is a multiple of 24 because 24 × 13 = 312	0
336	336 is a multiple of 24 because 24 × 14 = 336	0
360	360 is a multiple of 24 because 24 × 15 = 360	0
384	384 is a multiple of 24 because 24 × 16 = 384	0
408	408 is a multiple of 24 because 24 × 17 = 408	0
432	432 is a multiple of 24 because 24 × 18 = 432	0
456	456 is a multiple of 24 because 24 × 19 = 456	0
480	480 is a multiple of 24 because 24 × 20 = 480	0
504	504 is a multiple of 24 because 24 × 21 = 504	0
528	528 is a multiple of 24 because 24 × 22 = 528	0
552	552 is a multiple of 24 because 24 × 23 = 552	0
576	576 is a multiple of 24 because 24 × 24 = 576	0
600	600 is a multiple of 24 because 24 × 25 = 600	0
624	624 is a multiple of 24 because 24 × 26 = 624	0
648	648 is a multiple of 24 because 24 × 27 = 648	0
672	672 is a multiple of 24 because 24 × 28 = 672	0
696	696 is a multiple of 24 because 24 × 29 = 696	0
720	720 is a multiple of 24 because 24 × 30 = 720	0
744	744 is a multiple of 24 because 24 × 31 = 744	0
768	768 is a multiple of 24 because 24 × 32 = 768	0
792	792 is a multiple of 24 because 24 × 33 = 792	0
816	816 is a multiple of 24 because 24 × 34 = 816	0
840	840 is a multiple of 24 because 24 × 35 = 840	0
864	864 is a multiple of 24 because 24 × 36 = 864	0
888	888 is a multiple of 24 because 24 × 37 = 888	0
912	912 is a multiple of 24 because 24 × 38 = 912	0
936	936 is a multiple of 24 because 24 × 39 = 936	0
960	960 is a multiple of 24 because 24 × 40 = 960	0
984	984 is a multiple of 24 because 24 × 41 = 984	0
1008	1008 is a multiple of 24 because 24 × 42 = 1008	0
1032	1032 is a multiple of 24 because 24 × 43 = 1032	0
1056	1056 is a multiple of 24 because 24 × 44 = 1056	0
1080	1080 is a multiple of 24 because 24 × 45 = 1080	0
1104	1104 is a multiple of 24 because 24 × 46 = 1104	0
1128	1128 is a multiple of 24 because 24 × 47 = 1128	0
1152	1152 is a multiple of 24 because 24 × 48 = 1152	0
1176	1176 is a multiple of 24 because 24 × 49 = 1176	0
1200	1200 is a multiple of 24 because 24 × 50 = 1200	0
1224	1224 is a multiple of 24 because 24 × 51 = 1224	0
1248	1248 is a multiple of 24 because 24 × 52 = 1248	0
1272	1272 is a multiple of 24 because 24 × 53 = 1272	0
1296	1296 is a multiple of 24 because 24 × 54 = 1296	0
1320	1320 is a multiple of 24 because 24 × 55 = 1320	0
1344	1344 is a multiple of 24 because 24 × 56 = 1344	0
1368	1368 is a multiple of 24 because 24 × 57 = 1368	0
1392	1392 is a multiple of 24 because 24 × 58 = 1392	0
1416	1416 is a multiple of 24 because 24 × 59 = 1416	0
1440	1440 is a multiple of 24 because 24 × 60 = 1440	0
1464	1464 is a multiple of 24 because 24 × 61 = 1464	0
1488	1488 is a multiple of 24 because 24 × 62 = 1488	0
1512	1512 is a multiple of 24 because 24 × 63 = 1512	0
1536	1536 is a multiple of 24 because 24 × 64 = 1536	0
1560	1560 is a multiple of 24 because 24 × 65 = 1560	0
1584	1584 is a multiple of 24 because 24 × 66 = 1584	0
1608	1608 is a multiple of 24 because 24 × 67 = 1608	0
1632	1632 is a multiple of 24 because 24 × 68 = 1632	0
1656	1656 is a multiple of 24 because 24 × 69 = 1656	0
1680	1680 is a multiple of 24 because 24 × 70 = 1680	0
1704	1704 is a multiple of 24 because 24 × 71 = 1704	0
1728	1728 is a multiple of 24 because 24 × 72 = 1728	0
1752	1752 is a multiple of 24 because 24 × 73 = 1752	0
1776	1776 is a multiple of 24 because 24 × 74 = 1776	0
1800	1800 is a multiple of 24 because 24 × 75 = 1800	0
1824	1824 is a multiple of 24 because 24 × 76 = 1824	0
1848	1848 is a multiple of 24 because 24 × 77 = 1848	0
1872	1872 is a multiple of 24 because 24 × 78 = 1872	0
1896	1896 is a multiple of 24 because 24 × 79 = 1896	0
1920	1920 is a multiple of 24 because 24 × 80 = 1920	0
1944	1944 is a multiple of 24 because 24 × 81 = 1944	0
1968	1968 is a multiple of 24 because 24 × 82 = 1968	0
1992	1992 is a multiple of 24 because 24 × 83 = 1992	0
2016	2016 is a multiple of 24 because 24 × 84 = 2016	0
2040	2040 is a multiple of 24 because 24 × 85 = 2040	0
2064	2064 is a multiple of 24 because 24 × 86 = 2064	0
2088	2088 is a multiple of 24 because 24 × 87 = 2088	0
2112	2112 is a multiple of 24 because 24 × 88 = 2112	0
2136	2136 is a multiple of 24 because 24 × 89 = 2136	0
2160	2160 is a multiple of 24 because 24 × 90 = 2160	0
2184	2184 is a multiple of 24 because 24 × 91 = 2184	0
2208	2208 is a multiple of 24 because 24 × 92 = 2208	0
2232	2232 is a multiple of 24 because 24 × 93 = 2232	0
2256	2256 is a multiple of 24 because 24 × 94 = 2256	0
2280	2280 is a multiple of 24 because 24 × 95 = 2280	0
2304	2304 is a multiple of 24 because 24 × 96 = 2304	0
2328	2328 is a multiple of 24 because 24 × 97 = 2328	0
2352	2352 is a multiple of 24 because 24 × 98 = 2352	0
2376	2376 is a multiple of 24 because 24 × 99 = 2376	0
2400	2400 is a multiple of 24 because 24 × 100 = 2400	0

Read More About Multiples of 24

Table of 24

Important Notes

1. Definition of Multiples

Multiples of a number are obtained by multiplying that number by integers. For instance, multiples of 24 are the results of 24 multiplied by 1, 2, 3, etc.

2. First Ten Multiples of 24

Here are the first ten multiples of 24:

• 24 × 1 = 24
• 24 × 2 = 48
• 24 × 3 = 72
• 24 × 4 = 96
• 24 × 5 = 120
• 24 × 6 = 144
• 24 × 7 = 168
• 24 × 8 = 192
• 24 × 9 = 216
• 24 × 10 = 240

3. Characteristics of Multiples of 24

• Even Numbers: All multiples of 24 are even because 24 itself is an even number.
• Divisibility: Each multiple of 24 is divisible by 2, 3, 4, 6, 8, and 12.

4. Patterns in Multiples

Multiples of 24 increase by 24. This means each subsequent multiple is 24 units more than the previous one. For example:

• 24, 48, 72, 96, …

5. Real-Life Applications

• Time Measurement: 24 is significant in timekeeping (24 hours in a day).
• Mathematical Problems: Multiples of 24 are used in problems involving least common multiples, greatest common divisors, and finding common denominators in fractions.

Examples on Multiples of 24

Example 1: Finding Multiples of 24

To find the first five multiples of 24:

• 24×1 = 24
• 24×2 = 48
• 24×3 = 72
• 24×4 = 96
• 24×5 = 120

Example 2: Real-Life Application – Packaging

A factory packs products in boxes containing 24 items each. If the factory packs 10 boxes, how many items are packed in total?

24×10 = 240 So, 240 items are packed in total.

Example 3: Scheduling

A conference is scheduled every 24 days. If the first conference is on January 1st, when will the next three conferences be held?

• First conference: January 1
• Second conference: January 1 + 24 days = January 25
• Third conference: January 25 + 24 days = February 18
• Fourth conference: February 18 + 24 days = March 13

Example 4: Financial Planning

An investor receives a dividend every 24 weeks. If the first dividend was received on January 1st, when will the investor receive the next three dividends?

• First dividend: January 1
• Second dividend: January 1 + 24 weeks = June 17
• Third dividend: June 17 + 24 weeks = December 2
• Fourth dividend: December 2 + 24 weeks = May 17 (next year)

Example 5: Sports Tournament

A sports league schedules matches every 24 days. If a match is played on February 1st, what are the dates of the next two matches?

• First match: February 1
• Second match: February 1 + 24 days = February 25
• Third match: February 25 + 24 days = March 20

Table of First 10 Multiples of 24

Multiple	Value
24 × 1	24
24 × 2	48
24 × 3	72
24 × 4	96
24 × 5	120
24 × 6	144
24 × 7	168
24 × 8	192
24 × 9	216
24 × 10	240

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