Multiples of 28
Do you know that the sum of the first five prime numbers, i.e., 2, 3, 5, 7, and 11, is 28? Another interesting fact about 28 is that sum of the 5 factors of 28 is 28 that is 1 + 2 + 4 + 7 + 14. In this mini-lesson, we will calculate the multiples of 28, and interesting facts about these multiples.
- First five multiples of 28: 28, 56, 84, 112, and 140.
- Prime Factorization of 28: 28 = 22 × 7
| 1. | What are the Multiples of 28? |
| 2. | First 20 Multiples of 28 |
| 3. | Important Notes |
| 4. | FAQs on Multiples of 28 |
What are the Multiples of 28?
The multiples of 28 are those numbers that are obtained by multiplying 28 by any integer. Do you remember the multiplication tables? Let us see how it helps us understand the meaning of multiples while we list the first five multiples of the number 28. The first five multiples of 28 are 28, 56, 84, 112, and 140. You can see that the multiples of 28 are in the table of 28. The multiples of 28 are all the numbers that result from the multiplication of 28 by another whole number or an integer. Basically, a sequence goes on where the numbers are of the form 28n and the difference between each succeeding number and the preceding number is 28.
Did you observe that 28 can be added to any multiple of 28 to get its successive multiple?
List of First 20 Multiples of 28
Now we will find the first 20 multiples of 28 by multiplying 28 by each of the natural numbers from 1 to 20. Since multiplication is repeated addition, once we find the first multiple, we can add 28 to it to get another multiple and we can keep adding 28 to get the successive multiples.
| First 20 Multiples of 28 | |
|---|---|
| 28 × 1 = 28 | 28 × 11 = 308 |
| 28 × 2 = 56 | 28 × 12 = 336 |
| 28 × 3 = 84 | 28 × 13 = 364 |
| 28 × 4 = 112 | 28 × 14 = 392 |
| 28 × 5 = 140 | 28 × 15 = 420 |
| 28 × 6 = 168 | 28 × 16 = 448 |
| 28 × 7 =196 | 28 × 17 = 476 |
| 28 × 8 = 224 | 28 × 18 = 504 |
| 28 × 9 = 252 | 28 × 19 = 532 |
| 28 × 10 = 280 | 28 × 20 = 560 |
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 4 - The first five multiples of 4 are 4, 8, 12, 16, 20
- Multiples of 18 - The first five multiples of 18 are 18, 36, 54, 72, 90
- Multiples of 12 - The first five multiples of 12 are 12, 24, 36, 48, 60
- Multiples of 15 - The first five multiples of 15 are 15, 30, 45, 60, 75
Important Notes:
- The multiples of a number are always greater than or equal to the given number.
- The 1st and smallest multiple of any number is the number itself.
- Every multiple of a number is greater than or equal to the number itself.
- If a number is a multiple of another, it will divide exactly, not leaving any remainder.
FAQs on Multiples of 28
How do you find the multiples of 28?
Multiply any natural number with 28 and you will get the multiples of 28.
How Many Multiples does 28 Have?
The number of multiples of any number is infinite. For example, 28, 56, 84, 112, 140, 168 etc.
What are the first four multiples of 28?
The first four multiples of 28 are 28, 56, 84, 112.
What is the 6th multiple of 28?
The 6th multiple of 28 is 168.
Are all multiples of 28 even?
Yes, all the multiples of 28 are even as 28 is an even number.