If a number completely divides 26 with the remainder zero, then that number is called a factor of 26. So we can say that the factors of 26 are the divisors of 26. In this section, we will learn about the factors of 26 and the prime factors of 26.
Also Read: Basic concepts of factors
Table of Contents
Highlights of Factors of 26
- 26=2×13 is the prime factorization of 26.
- The factors of 26 are 1, 2, 13, and 26.
- Prime factors of 26 are 2 and 13.
- Negative factors of 26 are –1, -2, -13, and –26.
What are the Factors of 26?
Let us write the number 26 multiplicatively in all possible ways. We have:
26 = 1×26
26 = 2×13
As we cannot express 26 multiplicatively in any other way, so we will stop right now. So the factors of 26 in pairs are given as follows:
| 26 = a×b | Factors in Pairs (a,b) |
| 26 = 1×26 | (1, 26) |
| 26 = 2×13 | (2, 13) |
Thus the pair factors of 26 are (1, 26) and (2, 13). As all the numbers appearing in pair factors are the factors of 26, we conclude that
|
The factors of 26 are: 1, 2, 13, and 26. |
Number of Factors of 26
From above we have calculated the factors of 26 which are 1, 2, 13, and 26. Thus the total number of factors of 26 is four.
Prime Factors of 26
Note that the factors of 26 are 1, 2, 13, and 26. Among those factors, we observe that only 2 and 13 are prime numbers as they do not have any proper divisors.
∴ the prime factors of 26 are 2 and 13.
Question: What are the factors of 26?
Video Solution: coming soon…
Also Read:
| Factors of 8: | 1, 2, 4, 8 |
| Factors of 16: | 1, 2, 4, 8, 16 |
| Factors of 20: | 1, 2, 4, 5, 10, 20 |
| Factors of 24: | 1, 2, 3, 4, 6, 8, 12, 24 |
How to Find Factors of 26?
Now we will determine the factors of 26 by division method. In this method, we will find the numbers that can divide 26 with no remainder. See that
| 26/1=26 and the remainder is 0. | ∴ 1 and 26 are factors of 26. |
| 26/2=13 and the remainder is 0. | ∴ 2 and 13 are factors of 26. |
Note that no numbers other than the numbers in violet color can divide 26. So the numbers in violet color, that is, 1, 2, 13 and 26 are the complete list of factors of 26.
This article is written by Dr. T, an expert in Mathematics (PhD). On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.