Factors of 26 – Positive & Negative Factors, Factor Pairs

The factors of 26 are the numbers that divide 26 exactly without leaving any remainder. In this article, we will find the positive factors, negative factors, factor pairs, and the prime factorization of 26.

Finding factors is very useful in mathematics. We often use factors when adding, subtracting, or simplifying fractions. They help us understand numbers better and make calculations easier.

Educational illustration explaining the factors of 26, including positive factors, negative factors, factor pairs, and prime factorization of 26

What Is a Factor?

A factor is a number that divides another number evenly.
If a number divides 26 with no remainder, then it is called a factor of 26.

How to Calculate the Factors of 26

Let’s divide 26 by natural numbers and check which ones give a whole number answer.

  • 26 ÷ 1 = 26

  • 26 ÷ 2 = 13

  • 26 ÷ 13 = 2

  • 26 ÷ 26 = 1

So, the numbers that divide 26 evenly are 1, 2, 13, and 26.

Positive Factors of 26

The positive factors of 26 are:

1, 2, 13, 26

Negative Factors of 26

Every positive factor has a corresponding negative factor.
We simply place a minus sign before each positive factor.

The negative factors of 26 are:

−1, −2, −13, −26

Factor Pairs of 26

A factor pair is a set of two numbers that multiply to give 26.

Positive Factor Pairs

  • 1 × 26 = 26

  • 2 × 13 = 26

  • 13 × 2 = 26

  • 26 × 1 = 26

Negative Factor Pairs

  • −1 × −26 = 26

  • −2 × −13 = 26

  • −13 × −2 = 26

  • −26 × −1 = 26

Prime Factorization of 26

Prime factorization means writing a number as a product of prime numbers.

26 is an even number, so we divide it by 2:

  • 26 ÷ 2 = 13

Since 13 is a prime number, we stop here.

Prime factorization of 26:
26 = 2 × 13

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FAQs 

❓ What are the factors of 26?

The factors of 26 are the numbers that divide 26 exactly without leaving a remainder. These are 1, 2, 13, and 26.

❓ How many factors does 26 have?

The number 26 has four positive factors and four negative factors, making a total of eight factors.

❓ Is 26 a prime number?

No, 26 is not a prime number because it has more than two factors. It is a composite number.

❓ What are the prime factors of 26?

The prime factors of 26 are 2 and 13.

❓ What are the factor pairs of 26?

The factor pairs of 26 are (1, 26) and (2, 13). Their negative pairs are (−1, −26) and (−2, −13).

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