Multiples of 24

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

Multiples of 24

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:

NumberCalculationReasonRemainder
4848÷24 = 248 is a multiple of 24 because it divides evenly.0
9696÷24 = 496 is a multiple of 24 because it divides evenly.0
168168÷24 = 7168 is a multiple of 24 because it divides evenly.0
192192÷24 = 8192 is a multiple of 24 because it divides evenly.0
283283÷24 = 11283 is not a multiple of 24 because it does not divide evenly.19

List of First 100 Multiples of 24 with Remainders

List-of-First-100-Multiples-of-24
NumberReasonRemainder
2424 is a multiple of 24 because 24 × 1 = 240
4848 is a multiple of 24 because 24 × 2 = 480
7272 is a multiple of 24 because 24 × 3 = 720
9696 is a multiple of 24 because 24 × 4 = 960
120120 is a multiple of 24 because 24 × 5 = 1200
144144 is a multiple of 24 because 24 × 6 = 1440
168168 is a multiple of 24 because 24 × 7 = 1680
192192 is a multiple of 24 because 24 × 8 = 1920
216216 is a multiple of 24 because 24 × 9 = 2160
240240 is a multiple of 24 because 24 × 10 = 2400
264264 is a multiple of 24 because 24 × 11 = 2640
288288 is a multiple of 24 because 24 × 12 = 2880
312312 is a multiple of 24 because 24 × 13 = 3120
336336 is a multiple of 24 because 24 × 14 = 3360
360360 is a multiple of 24 because 24 × 15 = 3600
384384 is a multiple of 24 because 24 × 16 = 3840
408408 is a multiple of 24 because 24 × 17 = 4080
432432 is a multiple of 24 because 24 × 18 = 4320
456456 is a multiple of 24 because 24 × 19 = 4560
480480 is a multiple of 24 because 24 × 20 = 4800
504504 is a multiple of 24 because 24 × 21 = 5040
528528 is a multiple of 24 because 24 × 22 = 5280
552552 is a multiple of 24 because 24 × 23 = 5520
576576 is a multiple of 24 because 24 × 24 = 5760
600600 is a multiple of 24 because 24 × 25 = 6000
624624 is a multiple of 24 because 24 × 26 = 6240
648648 is a multiple of 24 because 24 × 27 = 6480
672672 is a multiple of 24 because 24 × 28 = 6720
696696 is a multiple of 24 because 24 × 29 = 6960
720720 is a multiple of 24 because 24 × 30 = 7200
744744 is a multiple of 24 because 24 × 31 = 7440
768768 is a multiple of 24 because 24 × 32 = 7680
792792 is a multiple of 24 because 24 × 33 = 7920
816816 is a multiple of 24 because 24 × 34 = 8160
840840 is a multiple of 24 because 24 × 35 = 8400
864864 is a multiple of 24 because 24 × 36 = 8640
888888 is a multiple of 24 because 24 × 37 = 8880
912912 is a multiple of 24 because 24 × 38 = 9120
936936 is a multiple of 24 because 24 × 39 = 9360
960960 is a multiple of 24 because 24 × 40 = 9600
984984 is a multiple of 24 because 24 × 41 = 9840
10081008 is a multiple of 24 because 24 × 42 = 10080
10321032 is a multiple of 24 because 24 × 43 = 10320
10561056 is a multiple of 24 because 24 × 44 = 10560
10801080 is a multiple of 24 because 24 × 45 = 10800
11041104 is a multiple of 24 because 24 × 46 = 11040
11281128 is a multiple of 24 because 24 × 47 = 11280
11521152 is a multiple of 24 because 24 × 48 = 11520
11761176 is a multiple of 24 because 24 × 49 = 11760
12001200 is a multiple of 24 because 24 × 50 = 12000
12241224 is a multiple of 24 because 24 × 51 = 12240
12481248 is a multiple of 24 because 24 × 52 = 12480
12721272 is a multiple of 24 because 24 × 53 = 12720
12961296 is a multiple of 24 because 24 × 54 = 12960
13201320 is a multiple of 24 because 24 × 55 = 13200
13441344 is a multiple of 24 because 24 × 56 = 13440
13681368 is a multiple of 24 because 24 × 57 = 13680
13921392 is a multiple of 24 because 24 × 58 = 13920
14161416 is a multiple of 24 because 24 × 59 = 14160
14401440 is a multiple of 24 because 24 × 60 = 14400
14641464 is a multiple of 24 because 24 × 61 = 14640
14881488 is a multiple of 24 because 24 × 62 = 14880
15121512 is a multiple of 24 because 24 × 63 = 15120
15361536 is a multiple of 24 because 24 × 64 = 15360
15601560 is a multiple of 24 because 24 × 65 = 15600
15841584 is a multiple of 24 because 24 × 66 = 15840
16081608 is a multiple of 24 because 24 × 67 = 16080
16321632 is a multiple of 24 because 24 × 68 = 16320
16561656 is a multiple of 24 because 24 × 69 = 16560
16801680 is a multiple of 24 because 24 × 70 = 16800
17041704 is a multiple of 24 because 24 × 71 = 17040
17281728 is a multiple of 24 because 24 × 72 = 17280
17521752 is a multiple of 24 because 24 × 73 = 17520
17761776 is a multiple of 24 because 24 × 74 = 17760
18001800 is a multiple of 24 because 24 × 75 = 18000
18241824 is a multiple of 24 because 24 × 76 = 18240
18481848 is a multiple of 24 because 24 × 77 = 18480
18721872 is a multiple of 24 because 24 × 78 = 18720
18961896 is a multiple of 24 because 24 × 79 = 18960
19201920 is a multiple of 24 because 24 × 80 = 19200
19441944 is a multiple of 24 because 24 × 81 = 19440
19681968 is a multiple of 24 because 24 × 82 = 19680
19921992 is a multiple of 24 because 24 × 83 = 19920
20162016 is a multiple of 24 because 24 × 84 = 20160
20402040 is a multiple of 24 because 24 × 85 = 20400
20642064 is a multiple of 24 because 24 × 86 = 20640
20882088 is a multiple of 24 because 24 × 87 = 20880
21122112 is a multiple of 24 because 24 × 88 = 21120
21362136 is a multiple of 24 because 24 × 89 = 21360
21602160 is a multiple of 24 because 24 × 90 = 21600
21842184 is a multiple of 24 because 24 × 91 = 21840
22082208 is a multiple of 24 because 24 × 92 = 22080
22322232 is a multiple of 24 because 24 × 93 = 22320
22562256 is a multiple of 24 because 24 × 94 = 22560
22802280 is a multiple of 24 because 24 × 95 = 22800
23042304 is a multiple of 24 because 24 × 96 = 23040
23282328 is a multiple of 24 because 24 × 97 = 23280
23522352 is a multiple of 24 because 24 × 98 = 23520
23762376 is a multiple of 24 because 24 × 99 = 23760
24002400 is a multiple of 24 because 24 × 100 = 24000

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

MultipleValue
24 × 124
24 × 248
24 × 372
24 × 496
24 × 5120
24 × 6144
24 × 7168
24 × 8192
24 × 9216
24 × 10240

FAQs

What are multiples of 24?

Multiples of 24 are numbers that can be expressed as 24 times an integer. Examples include 24, 48, 72, 96, 120, etc.

Is 120 a multiple of 24?

Yes, 120 is a multiple of 24 because 120 ÷ 24 equals 5, an integer.

What is the smallest multiple of 24?

The smallest multiple of 24 is 24 itself.

Are all multiples of 24 even numbers?

Yes, since 24 is an even number, all multiples of 24 are also even numbers.

How can you determine if a number is a multiple of 24?

A number is a multiple of 24 if it can be divided by 24 without leaving a remainder.

What is the 5th multiple of 24?

The 5th multiple of 24 is 120 (24 × 5).

Are multiples of 24 also multiples of 12?

Yes, since 24 is a multiple of 12, all multiples of 24 are also multiples of 12.

Can a negative number be a multiple of 24?

Yes, negative numbers can be multiples of 24, such as -24, -48, -72, etc.

What is the greatest common divisor (GCD) of 24 and its multiples?

The GCD of 24 and any of its multiples is always 24.

Are multiples of 24 always divisible by 8?

Yes, since 24 is divisible by 8, all multiples of 24 are also divisible by 8.

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