Multiples of 23 are the values that are produced when 23 is multiplied by consecutive natural numbers. The table of 23 is an example of multiple of 23. We can obtain any multiple of 23, by multiplying 23 to the respective positive integers. For example, the 5th multiple of 23 is 5 times 23 or 23 x 5 = 115. The first five multiples of 23 are 23, 46, 69, 92, 115. We can see, the multiples can be both even numbers and odd numbers here. Since 23 is a prime number, therefore, it will have only two factors 1 and 23.
What are the Multiples of 23?
All those integers that are divisible by 23 are also multiples of 23. These multiples are produced when 23 is multiplied by any natural number or a whole number. To get a series of multiples of 23, we have to multiply 23 by 1, 2, 3, 4, 5 and so on. Depending on the number to which 23 is multiplied, we get the respective multiple of 23. To remember the multiples of 23, we can use the trick of skip counting by 13.
The list of Multiples of 23 are:
23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529, 552, 575, 598, 621, 644, 667, 690, 713, 736, 759, 782, 805, 828, 851, 874, 897, 920, 943, 966, 989, 1012, 1035, 1058, 1081, 1104, 1127
Multiples of 23 Chart
Find the multiples of 23, up to 20 by multiplying 23 with the numbers 1 to 20.
| 23 Multiplied by Natural numbers | Multiples of 23 |
| 23 x 1 | 23 |
| 23 x 2 | 46 |
| 23 x 3 | 69 |
| 23 x 4 | 92 |
| 23 x 5 | 115 |
| 23 x 6 | 138 |
| 23 x 7 | 161 |
| 23 x 8 | 184 |
| 23 x 9 | 207 |
| 23 x 10 | 230 |
| 23 x 11 | 253 |
| 23 x 12 | 276 |
| 23 x 13 | 299 |
| 23 x 14 | 322 |
| 23 x 15 | 345 |
| 23 x 16 | 368 |
| 23 x 17 | 391 |
| 23 x 18 | 414 |
| 23 x 19 | 437 |
| 23 x 20 | 460 |
How to Find Multiples of 23?
To find the multiple of 23, we have to multiply 23 by the required multiple. Let us see some examples here to understand better.
- 6th multiple of 23: 23 x 6 = 138
- 10th multiple of 23: 23 x 10 = 230
- 18th multiple of 23: 23 x 18 = 414
- 25th multiple of 23: 23 x 25 = 575
Important Facts
- We can have infinite number of multiples of 23
- Multiples of 23 are the values resulting from multiplication of 23 with set of numbers
- 23 is a multiple of itself
- Multiple of 23 is either equal to or greater than 23
Video Lesson on Common Multiples
Solved Examples on Multiples of 23
Q.1: Write the first 10 multiples of 23.
Solution: The first 10 multiples of 23 are 23, 46, 69, 92, 115, 138, 161, 184, 207, 230.
Q.2: What is 23 multiplied by 7 plus 8?
Solution: By the list of multiples of 23, we know,
7th multiple of 23 = 161
So,
161 + 8 = 169
Hence, 169 is the required answer.
Q.3: Find the value of: 23 x 11 – 23.
Solution: Given,
23 x 11 – 23
11th multiple of 23 is 253
So,
253 – 23 = 230
Hence, the required solution is 230.
Frequently Asked Questions on Multiples of 23
What are the first six multiples of 23?
The first six multiples of 23 are 23, 46, 69, 92, 115, 138.
Which is the 9th non-zero multiple of 23?
The 9th non-zero multiple of 23 is 207.
Is 2185 a multiple of 23?
2185 is a multiple of 23 because 2185 divided by 23 is equal to 95. Hence, 2185 is the 95th multiple of 23.
Write the factors of 23.
The factors of 23 are 1 and 23.
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