Multiples of 24
Multiples of 24 are obtained by multiplying 24 with integers. In this mini-lesson, we will calculate the multiples of 24, and learn interesting facts about these multiples.
- First five multiples of 24: 24, 48, 72, 96, and 120
- Prime factorization of 24: 24 = 2 × 2 × 2 × 3
Let us explore more about the multiples of 24 and their properties.
| 1. | What Are the Multiples of 24? |
| 2. | First 20 Multiples of 24 |
| 3. | Important Notes |
| 4. | Tips and Tricks |
| 5. | FAQs on Multiples of 24 |
What Are the Multiples of 24?
A multiple is basically the result of multiplying a number by an integer. To create a list of multiples of 24, we have 2 methods.
Method 1
In this method, multiply the number 24 with integers to calculate the multiples of 24.
- 24 × 1 = 24
- 24 × 14 = 336
- 24 × 78 = 1872
Or do skip counting to get the successive multiples of 24.
Method 2
In this method, add the number 24 with itself repeatedly to calculate the multiples of 24.
- 24 + 0 = 24
- 24 + 24 = 48
- 24 + 24 + 24 = 72
- 24 + 24+ 24+ 24 = 96
- 24+ 24 +24 + 24 +24 = 120
This list is never-ending; we can generate as many multiples of 24 as we want.
Important Notes
- Multiples of 24 are whole numbers multiplied by 24.
- All the multiples of 24 are multipes of 2, 3, 4 , 6, and 8.
List of First 20 Multiples of 24
Let us list the first 20 multiples of 24:
| 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 |
| 24 × 11 = 264 |
| 24 × 12 = 288 |
| 24 × 13 = 312 |
| 24 × 14 = 336 |
| 24 × 15 = 360 |
| 24 × 16 = 384 |
| 24 ×17 = 408 |
| 24 × 18 = 432 |
| 24 × 19 = 456 |
| 24 × 20 = 480 |
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, 100
- Multiples of 12 - The first five multiples of 12 are 12, 24, 36, 48, and 60
- Multiples of 24- The first five multiples of 24 are 24, 48, 72, 96, and 120
- Multiples of 18 - The first five multiples of 18 are 18, 36, 54, 72, and 90
- Multiples of 8 - The first five multiples of 8 are 8, 16, 24, 32, and 40
Tips and Tricks:
To get the multiples of any number follow one of the two methods:
- Either multiply the number by any integer and do skip counting to get the successive multiples
- Or do repeated addition
Multiples of 24 Solved Examples
-
Example 1: Jimmy and Ellyse both love to donate their toys to needy children. Jimmy has 24 toys to donate. Ellyse has four times the number of toys Jimmy has. Both of them donate all the toys that they have. Can you tell the total number of toys that are donated?
Solution:
Given, toys with Jimmy = 24
To find toys with Ellyse, we do 4 × 24 = 96
The total number of toys that they donated = 24 + 96 = 120
We notice that the answer that we got is one of the multiples of 24. 120 is the 5th multiple of 24.
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Example 2:
Find out the common numbers that are factors of 24 and multiples of 6.
Solution: Find out the common numbers that are factors of 24 and multiples of 6.
Factors of 24 = 1 , 2, 3, 4, 6, 8, 12, and 24
Multiples of 6 = 6,12, 18, 24, 30, 36, 42, and so on
The common numbers between them are 6,12, and 24.
FAQs on Multiples of 24
How do you find the multiples of 24?
Multiply 24 with integers and get the multiples of 24 or do skip counting.
Do 8 and 3 have multiples of 24?
24 is a multiple of both 3 and 8 because 3 x 8 = 24.Therefore 8 and 3 have multiples of 24.
What are the first five multiples of 24?
The first five multiples of 24 are 24, 48, 72, 96, and 120.
What are all the multiples of 25?
The multiples of 25 are 25, 50, 75, 100, 125, 150, and so on.
What are the common multiples of 24 and 12?
The multiples of 24 are 24, 48, 72, 96,120, 144, 168, 192, and so on.
The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, and so on.
The common multiples of 24 and 12 are 24, 48, 72, 96,120, 144, 168, 192 and so on.
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