Factors of 26 

Factors of 26 are the numbers that divide the original number 26 evenly without leaving the remainder. These numbers can be positive or negative but not in decimal or fraction form. Though the number 26 is composite, it has two factors other than one and the number itself. Therefore, the factors of 26 are 1, 2, 13, and 26. Learning factors of a number is essential for kids in elementary school to upgrade their arithmetic knowledge and solve mathematical problems easily. 

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Apart from teaching how to find the factors of 26, you must teach children about the pair and prime factors of 26 to understand the concept better. This understanding helps them make fast and accurate calculations. You can use real examples to teach the concept to children. The best way to teach factors of a number is to conduct math games for kids. This enables them to learn and concentrate on what you are teaching them effectively. 

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What are the Factors of 26?

Factors of 26 are the numbers obtained when you divide the original number 26 completely with zero remainders. Factors of 26 are 1, 2, 13, and 26. To calculate the factors of 26, you need to use the division method. Besides this, you can also find the pair and prime factors of 26 using the multiplication and division methods. The pair factors of 26 can be positive or negative numbers. The pair factors of 26 are (1, 26) and (2, 13), whereas the negative pair factors of 26 are (-1, -26) and (-2, -13). 

Kids must also learn about the prime factors of 26 for effective calculation practices. The prime factors of 26 are 2 x 13. Kids must be familiar with multiplication tables to solve mathematical problems accurately. The total sum of factors of 26 are 1 + 2 + 13 + 26 = 42. 

How to Find the Factors of 26?

To calculate the factors of 26, you need to divide the original number 26 with the integers without leaving the remainder. Check out the division method to find the factors of 26 as given below. 

26/1 = 26

26/2 = 13

26/13 = 2

26/26 = 1

Therefore, factors of 26 are 1, 2, 13, and 26. 

Pair Factors of 26 

To find the pair factors of 26, you need to multiply the integers in pairs to get the original numbers as the product. These numbers can be positive or negative. Check out the multiplication method to find the pair factors of 26 as given below.

1 x 26 = 26

2 x 13 = 26

13 x 2 = 26 

26 x 1 = 26

Therefore, the positive pair factors of 26 are (1, 26) and (2, 13). You can calculate the negative pair factors of 26 in a  similar way. When you multiply two negative numbers together, the result is positive. 

-1 x -26 = 26

-2 x -13 = 26

-13 x -2 = 26 

-26 x -1 = 26

 Therefore, the negative pair factors of 26 are (-1, -26) and (-2, -13).

Prime Factors of 26

To find the prime factors of 26, you must divide the original number with the prime numbers until you get the quotient one. Check out the prime factorization method to calculate the prime factors of 26 given below. 

Step 1: Divide the original number 26 with the least prime number 2. 

26/2 = 13

Step 2: Divide the number 13 with the prime number 13 to get the quotient one since it is not divisible by any other least prime numbers. 

13/13 = 1

Therefore, the prime factors of 26 are 2 x 13. 

Check Factors Related Articles

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Solved Examples on Factors of 26

Some solved examples on factors of 26 for kids are mentioned below. 

Example 1: Find the common factors of 26 and 13. 

Solution: Factors of 26 = 1, 2, 13, and 26

Factors of 13 = 1 and 13

Therefore, the common factors of 26 and 13 are 1 and 13. 

Example 2: Tony baked 26 apple pies for his friends. He distributed all of them equally to his 13 friends. How many apple pies did each of them receive?

Solution: Number of apple pies = 26

Number of friends = 13

Total number of apple pies received by each friend = 26/13 = 2

Therefore, the total number of apple pies received by each friend is 2. 

We hope this article on factors of 26 was useful to you. For more about activities, worksheets and games, explore worksheets for kids, math for kidspuzzles for kids, kids learning sections at Osmo. 

Frequently Asked Questions on Factors of 26

What are the factors of 26?

The factors of 26 are 1, 2, 13, and 26.

What are the pair factors of 26?

The positive pair factors of 26 are (1, 26) and (2, 13), whereas the negative pair factors of 26 are (-1, -26) and (-2, -13).

What are the prime factors of 26?

The prime factors of 26 are 2 x 13.

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