Multiples of 22
The products in the 22 times table are examples of multiples of 22. Multiples of any number can be obtained by multiplying the number with natural numbers. Hence, the multiples of 22 can be obtained in the same manner. In this mini-lesson, we will find the multiples of 22 and learn some interesting facts about these multiples with solved examples and interactive questions.
- First five multiples of 22: 22, 44, 66, 88, 110
- Prime Factorization of 22: 22 = 2 × 11
1. | What Are the Multiples of 22? |
2. | First 20 Multiples of 22 |
3. | Important Notes |
4. | FAQs on Multiples of 22 |
What Are the Multiples of 22?
Multiples of 22 are the products that are obtained when a number is multiplied by 22. To get the multiples of 22, we need to multiply 22 by 1, 2, 3, 4, and so on. Multiples of 22 are infinite. The multiples of 22 are even numbers. The first five multiples of 22 are:
- 22 × 1 = 22
- 22 × 2 = 44
- 22 × 3 = 66
- 22 × 4 = 88
- 22 × 5 = 110
List of First 20 Multiples of 22
Let's list the first 10 multiples of 22.
Multiples of 22 from 1-10 | |
22 × 1 = 22 | 22 × 6 = 132 |
22 × 2 = 44 | 22 × 7 = 154 |
22 × 3 = 66 | 22 × 8 = 176 |
22 × 4 = 88 | 22 × 9 = 198 |
22 × 5 = 110 | 22 × 10 = 220 |
Let us try to derive the multiples of 22 from 11-20 next.
Multiples of 22 from 11-20 | |
22 × 11 = 242 | 22 × 16 = 352 |
22 × 12 = 264 | 22 × 17 = 374 |
22 × 13 = 286 | 22 × 18 = 396 |
22 × 14 = 308 | 22 × 19 = 418 |
22 × 15 = 330 | 22 × 20 = 440 |
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 18 - The first five multiples of 18 are 18, 36, 54, 72, and 90.
- Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, and 100.
- Multiples of 21 - The first five multiples of 21 are 21, 42, 63, 84, and 105.
- Multiples of 23 - The first five multiples of 23 are 23, 46, 69, 92, and 115.
- Multiples of 26 - The first five multiples of 26 are 26, 52, 78, 104, and 130.
Important Notes
- Multiples are what we get after multiplying two numbers.
- The number of multiples for a given number are infinite.
- Every number is a multiple of itself.
- The multiple of a given number is always equal to or greater than the number.
Tips and Tricks:
- Skip counting by 22 or consecutive addition of 22 makes it easy to find the multiples of 22.
- Learn the table of 22 to list the multiples of 22 quickly.
Multiples of 22 Solved Examples
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Example 1: Help Alan find the sum of all the multiples of 22 less than 100.
Solution:
The multiples of 22 less than 100 are 22, 44, 66, 88.
Sum of first 4 multiples of 22 = 22+44+66+88 =220
We can conclude that the sum of all the multiples of 22 that are less than 100 is 220. -
Example 2: Using multiples of 22, calculate 7 times 22 minus 5 times 22.
Solution:
First, we will write 7 times 22 minus 5 times 22 mathematically.
7 times 22 minus 5 times 22 = 7 × 22 - 5 × 22 = 154 -110 = 44
FAQs on Multiples of 22
What are the first 5 multiples of 22?
The first 5 multiples of 22 are 22, 44, 66, 88, and 110.
Are the multiples of 22 always even?
Yes, the multiples of 22 are always even. 22 is an even number and the product with an even number is always even.
What is the sum of the first five multiples of 22?
The sum of the first five multiples of 22 is 22+44+66+88+110=330
What are the common multiples of 22 and 11?
The common multiples of 22 and 11 are 22, 44, 66, 88, so on.
What is the smallest multiple of 22?
The smallest multiple of 22 is 22 itself.
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