# Factors of 26

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

## 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:

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

## 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…