Multiples of 26
Multiples of 26 can be obtained by multiplying the number 26 with natural numbers. Multiples of 26 are infinite and all are even. In this mini-lesson, we will calculate the multiples of 26, and learn interesting facts about these multiples with solved examples and interactive questions.
- First five multiples of 26: 26, 52, 78, 104, 130
- Prime factorization of 26: 26 = 2 × 13
1. | What Are the Multiples of 26? |
2. | First 20 Multiples of 26 |
3. | Important Notes |
4. | FAQs on Multiples of 26 |
What Are the Multiples of 26?
Multiples of 26 are the products obtained when a number is multiplied by 26. For getting the multiples of 26, we need to multiply 26 by 1, 2, 3, 4, and so on. Multiples of 26 are infinite. Multiples of 26 are even numbers. The first six multiples of 26 are shown in the image.
List of First 20 Multiples of 26
Let's list the first 10 multiples of 26.
Multiples of 26 from 1-10 | |
26 × 1 = 26 | 26 × 6 = 156 |
26 × 2 = 52 | 26 × 7 = 182 |
26 × 3 = 78 | 26 × 8 = 208 |
26 × 4 = 104 | 26 × 9 = 234 |
26 × 5 = 130 | 26 × 10 = 260 |
Let us try to derive multiples of 26 from 11-20.
Multiples of 26 from 11-20 | |
26× 11 = 286 | 26 × 16 = 416 |
26 × 12 = 312 | 26 × 17 = 442 |
26 × 13 = 338 | 26 × 18 = 468 |
26 × 14 = 364 | 26 × 19 = 494 |
26 × 15 = 390 | 26 × 20 = 520 |
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 22 - The first five multiples of 22 are 22, 44, 66, 88, and 110.
Important Notes:
- Two different numbers always have common multiples.
- Multiples are what we get after multiplying two numbers.
- The number of multiples for a given number are infinite.
Multiples of 26 Solved Examples
-
Example 1: Help Linda find which among the first five multiples of 26 are also the multiples of 2 and 13.
Solution:
The first 5 multiples of 26 are 26, 52, 78, 104, and 130.
Each multiple of 26 is entirely divisible by 2 and 13.We conclude that all the first 5 multiples of 26 are also the multiples of 2 and 13.
-
Example 2: Pick all the multiples of 26 from the given list.
21, 52, 63, 108, 130, 189, 210, 286
Solution:
Multiples of 26 in the given list are 52, 108, and 286.
FAQs on Multiples of 26
What are the first 5 multiples of 26?
The first 5 multiples of 26 are 26, 52, 78, 104, and 130.
Are the multiples of 26 always even?
Yes, the multiples of 26 are always even. 26 is an even number and the product with an even number is always even.
What is the sum of the first five multiples of 26?
The sum of the first five multiples of 26 is 1430.
What are the common multiples of 26 and 30?
The common multiples of 26 and 30 are 390, 780, 1170, and so on.
What is the smallest multiple of 26?
The smallest multiple of 26 is 26 itself.
visual curriculum