In mathematics, a multiple is a product of a given number and any other whole number. For example, the multiples of 4 are obtained by multiplying 4 with any other whole number. In this article, we will explore the multiples of 4 and how to calculate them.
What Are Multiples Of 4?
What are the multiples of 4? The multiples of 4 are obtained by multiplying 4 by any other whole number. For example, the first five multiples of 4 are:
- 4 x 1 = 4
- 4 x 2 = 8
- 4 x 3 = 12
- 4 x 4 = 16
- 4 x 5 = 20
To obtain the multiples of 4, we simply multiply 4 by any whole number starting from 1. Let’s take a look at some examples to better understand how to calculate the multiples of 4.
Example 1: Find the first six multiples of 4.
Solution: To find the first six multiples of 4, we simply multiply 4 by each of the first six whole numbers.
4 x 1 = 4 4 x 2 = 8 4 x 3 = 12 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24
Therefore, the first six multiples of 4 are 4, 8, 12, 16, 20, and 24.
Example 2: Find the first ten multiples of 4.
Solution: To find the first ten multiples of 4, we simply multiply 4 by each of the first ten whole numbers.
4 x 1 = 4 4 x 2 = 8 4 x 3 = 12 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24 4 x 7 = 28 4 x 8 = 32 4 x 9 = 36 4 x 10 = 40
Therefore, the first ten multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, and 40.
First 20 multiples of 4
To find the first 20 multiples of 4, we can simply multiply 4 by each of the first 20 whole numbers. The table below shows the first 20 multiples of 4.
| Multiple | Value |
|---|---|
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | 16 |
| 5 | 20 |
| 6 | 24 |
| 7 | 28 |
| 8 | 32 |
| 9 | 36 |
| 10 | 40 |
| 11 | 44 |
| 12 | 48 |
| 13 | 52 |
| 14 | 56 |
| 15 | 60 |
| 16 | 64 |
| 17 | 68 |
| 18 | 72 |
| 19 | 76 |
| 20 | 80 |
As we can see from the table, the first 20 multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, and 80.
Additional Information:
- The multiples of 4 are always even numbers, since 4 is a factor of 2, and any even number is divisible by 2.
- The multiples of 4 can also be represented using the formula n x 4, where n is any whole number.
- The multiples of 4 are used in various areas of mathematics, such as number theory, algebra, and geometry.
5 FAQs on multiples of 4:
- Is 0 a multiple of 4? Yes, 0 is a multiple of 4, since 0 times any number is 0.
- What is the smallest multiple of 4? The smallest multiple of 4 is 0.
- What is the sum of the first 10 multiples of 4? To find the sum of the first 10 multiples of 4, we simply add them up: 4 + 8 + 12 + 16 + 20 + 24 + 28 + 32 + 36 + 40 = 220.
- Is 36 a multiple of 4? Yes, 36 is a multiple of 4, since it can be expressed as 4 x 9.
- What is the largest multiple of 4 less than 100? The largest multiple of 4 less than 100 is 96, since 4 x 24 = 96.
Final Thoughts
Multiples of 4 are obtained by multiplying 4 by any whole number. The first 20 multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, and 80. The multiples of 4 are used in various areas of mathematics and are always even numbers.
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